From 68b461a9227209f074a84742a31484ef7a78d5b6 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 30 Jun 2024 16:50:02 +0400
Subject: [PATCH 01/37] Get rid of testing NTT implementation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_ntt.cpp | 33 ---------------------------------
 1 file changed, 33 deletions(-)
 delete mode 100644 tests/test_ntt.cpp

diff --git a/tests/test_ntt.cpp b/tests/test_ntt.cpp
deleted file mode 100644
index a730dbf..0000000
--- a/tests/test_ntt.cpp
+++ /dev/null
@@ -1,33 +0,0 @@
-#include "ntt.hpp"
-#include <gtest/gtest.h>
-#include <vector>
-
-// Ensure functional correctness of (inverse) NTT implementation for degree-255
-// polynomial over Z_q | q = 2^23 - 2^13 + 1, using following rule
-//
-// f -> random polynomial
-// f' = ntt(f)
-// f'' = intt(f')
-//
-// assert(f == f'')
-TEST(Dilithium, NumberTheoreticTransform)
-{
-  std::vector<field::zq_t> poly_a(ntt::N, 0);
-  std::vector<field::zq_t> poly_b(ntt::N, 0);
-
-  auto _poly_a = std::span<field::zq_t, ntt::N>(poly_a);
-  auto _poly_b = std::span<field::zq_t, ntt::N>(poly_b);
-
-  prng::prng_t prng;
-
-  for (size_t i = 0; i < ntt::N; i++) {
-    _poly_a[i] = field::zq_t::random(prng);
-  }
-
-  std::copy(_poly_a.begin(), _poly_a.end(), _poly_b.begin());
-
-  ntt::ntt(_poly_b);
-  ntt::intt(_poly_b);
-
-  EXPECT_EQ(poly_a, poly_b);
-}

From 07092c8643cabbe8c37ab2b5a39d8b23bc52c77a Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 30 Jun 2024 17:38:32 +0400
Subject: [PATCH 02/37] Conform to ML-DSA specification

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/dilithium.hpp  | 89 ++++++++++++++++++------------------------
 include/dilithium2.hpp | 17 ++++----
 include/dilithium3.hpp | 19 +++++----
 include/dilithium5.hpp | 19 +++++----
 include/params.hpp     | 18 +++++----
 include/utils.hpp      |  9 +++--
 6 files changed, 80 insertions(+), 91 deletions(-)

diff --git a/include/dilithium.hpp b/include/dilithium.hpp
index d65bd00..a4084d6 100644
--- a/include/dilithium.hpp
+++ b/include/dilithium.hpp
@@ -3,6 +3,7 @@
 #include "polyvec.hpp"
 #include "sampling.hpp"
 #include "utils.hpp"
+#include <limits>
 #include <span>
 
 // Dilithium Post-Quantum Digital Signature Algorithm
@@ -66,7 +67,7 @@ keygen(std::span<const uint8_t, 32> seed,
   polyvec::power2round<k, d>(t, t1, t0);
 
   constexpr size_t t1_bw = std::bit_width(field::Q) - d;
-  std::array<uint8_t, 32> tr{};
+  std::array<uint8_t, 64> tr{};
 
   // Prepare public key
   constexpr size_t pkoff0 = 0;
@@ -133,23 +134,13 @@ keygen(std::span<const uint8_t, 32> seed,
 //
 // See section 5.4 of specification for understanding how signature is byte
 // serialized.
-template<size_t k,
-         size_t l,
-         size_t d,
-         uint32_t η,
-         uint32_t γ1,
-         uint32_t γ2,
-         uint32_t τ,
-         uint32_t β,
-         size_t ω,
-         bool randomized = false>
+template<size_t k, size_t l, size_t d, uint32_t η, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline void
-sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> seckey,
+sign(std::span<const uint8_t, 32> rnd,
+     std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> seckey,
      std::span<const uint8_t> msg,
-     std::span<uint8_t, dilithium_utils::sig_len<k, l, γ1, ω>()> sig,
-     std::span<const uint8_t, 64 * randomized> seed // 64 -bytes seed, *only* for randomized signing
-     )
-  requires(dilithium_params::check_signing_params(k, l, d, η, γ1, γ2, τ, β, ω))
+     std::span<uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
+  requires(dilithium_params::check_signing_params(k, l, d, η, γ1, γ2, τ, β, ω, λ))
 {
   constexpr uint32_t t0_rng = 1u << (d - 1);
 
@@ -160,7 +151,7 @@ sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> secke
   constexpr size_t skoff0 = 0;
   constexpr size_t skoff1 = skoff0 + 32;
   constexpr size_t skoff2 = skoff1 + 32;
-  constexpr size_t skoff3 = skoff2 + 32;
+  constexpr size_t skoff3 = skoff2 + 64;
   constexpr size_t skoff4 = skoff3 + s1_len;
   constexpr size_t skoff5 = skoff4 + s2_len;
 
@@ -181,22 +172,13 @@ sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> secke
   hasher.squeeze(_mu);
 
   std::array<uint8_t, 64> rho_prime{};
-  auto _rho_prime = std::span(rho_prime);
 
-  if constexpr (randomized) {
-    std::copy(seed.begin(), seed.end(), _rho_prime.begin());
-  } else {
-    std::array<uint8_t, key.size() + _mu.size()> crh_in{};
-    auto _crh_in = std::span(crh_in);
-
-    std::memcpy(_crh_in.template subspan<0, key.size()>().data(), key.data(), key.size());
-    std::memcpy(_crh_in.template subspan<key.size(), _mu.size()>().data(), _mu.data(), _mu.size());
-
-    hasher.reset();
-    hasher.absorb(_crh_in);
-    hasher.finalize();
-    hasher.squeeze(_rho_prime);
-  }
+  hasher.reset();
+  hasher.absorb(key);
+  hasher.absorb(rnd);
+  hasher.absorb(_mu);
+  hasher.finalize();
+  hasher.squeeze(rho_prime);
 
   std::array<field::zq_t, l * ntt::N> s1{};
   std::array<field::zq_t, k * ntt::N> s2{};
@@ -219,14 +201,18 @@ sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> secke
 
   std::array<field::zq_t, l * ntt::N> z{};
   std::array<field::zq_t, k * ntt::N> h{};
-  std::array<uint8_t, 32> hash_out{};
+
+  std::array<uint8_t, (2 * λ) / std::numeric_limits<uint8_t>::digits> c_tilda{};
+  auto c_tilda_span = std::span(c_tilda);
+  auto c1_tilda = c_tilda_span.template first<32>();
+  auto c2_tilda = c_tilda_span.template last<32>();
 
   while (!has_signed) {
     std::array<field::zq_t, l * ntt::N> y{};
     std::array<field::zq_t, l * ntt::N> y_prime{};
     std::array<field::zq_t, k * ntt::N> w{};
 
-    sampling::expand_mask<γ1, l>(_rho_prime, kappa, y);
+    sampling::expand_mask<γ1, l>(rho_prime, kappa, y);
 
     std::copy(y.begin(), y.end(), y_prime.begin());
 
@@ -251,9 +237,9 @@ sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> secke
     hasher.reset();
     hasher.absorb(_hash_in);
     hasher.finalize();
-    hasher.squeeze(hash_out);
+    hasher.squeeze(c_tilda);
 
-    sampling::sample_in_ball<τ>(hash_out, c);
+    sampling::sample_in_ball<τ>(c1_tilda, c);
     ntt::ntt(c);
 
     polyvec::mul_by_poly<l>(c, s1, z);
@@ -306,11 +292,11 @@ sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> secke
 
   constexpr size_t gamma1_bw = std::bit_width(γ1);
   constexpr size_t sigoff0 = 0;
-  constexpr size_t sigoff1 = sigoff0 + hash_out.size();
+  constexpr size_t sigoff1 = sigoff0 + c_tilda.size();
   constexpr size_t sigoff2 = sigoff1 + (32 * l * gamma1_bw);
   constexpr size_t sigoff3 = sig.size();
 
-  std::memcpy(sig.template subspan<sigoff0, sigoff1 - sigoff0>().data(), hash_out.data(), hash_out.size());
+  std::memcpy(sig.template subspan<sigoff0, sigoff1 - sigoff0>().data(), c_tilda.data(), c_tilda.size());
   polyvec::sub_from_x<l, γ1>(z);
   polyvec::encode<l, gamma1_bw>(z, sig.template subspan<sigoff1, sigoff2 - sigoff1>());
   bit_packing::encode_hint_bits<k, ω>(h, sig.template subspan<sigoff2, sigoff3 - sigoff2>());
@@ -323,12 +309,12 @@ sign(std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> secke
 //
 // Verification algorithm is described in figure 4 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-template<size_t k, size_t l, size_t d, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω>
+template<size_t k, size_t l, size_t d, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline bool
 verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
        std::span<const uint8_t> msg,
-       std::span<const uint8_t, dilithium_utils::sig_len<k, l, γ1, ω>()> sig)
-  requires(dilithium_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω))
+       std::span<const uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
+  requires(dilithium_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
 {
   constexpr size_t t1_bw = std::bit_width(field::Q) - d;
 
@@ -338,7 +324,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
 
   constexpr size_t gamma1_bw = std::bit_width(γ1);
   constexpr size_t sigoff0 = 0;
-  constexpr size_t sigoff1 = sigoff0 + 32;
+  constexpr size_t sigoff1 = sigoff0 + (2 * λ) / std::numeric_limits<uint8_t>::digits;
   constexpr size_t sigoff2 = sigoff1 + (32 * l * gamma1_bw);
   constexpr size_t sigoff3 = sig.size();
 
@@ -348,23 +334,26 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
   polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
 
-  std::array<uint8_t, 32> crh_in{};
+  std::array<uint8_t, 64> tr{};
   std::array<uint8_t, 64> mu{};
 
   shake256::shake256_t hasher;
   hasher.absorb(pubkey);
   hasher.finalize();
-  hasher.squeeze(crh_in);
+  hasher.squeeze(tr);
 
   hasher.reset();
-  hasher.absorb(crh_in);
+  hasher.absorb(tr);
   hasher.absorb(msg);
   hasher.finalize();
   hasher.squeeze(mu);
 
   std::array<field::zq_t, ntt::N> c{};
+  auto c_tilda = sig.template first<sigoff1 - sigoff0>();
+  auto c1_tilda = c_tilda.template first<32>();
+  auto c2_tilda = c_tilda.template last<32>();
 
-  sampling::sample_in_ball<τ>(sig.template subspan<sigoff0, sigoff1 - sigoff0>(), c);
+  sampling::sample_in_ball<τ>(c1_tilda, c);
   ntt::ntt(c);
 
   std::array<field::zq_t, l * ntt::N> z{};
@@ -399,7 +388,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   polyvec::use_hint<k, α>(h, w2, w1);
 
   std::array<uint8_t, mu.size() + (k * w1bw * 32)> hash_in{};
-  std::array<uint8_t, 32> hash_out{};
+  std::array<uint8_t, (2 * λ) / std::numeric_limits<uint8_t>::digits> c_tilda_prime{};
 
   auto _hash_in = std::span(hash_in);
 
@@ -409,7 +398,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   hasher.reset();
   hasher.absorb(_hash_in);
   hasher.finalize();
-  hasher.squeeze(hash_out);
+  hasher.squeeze(c_tilda_prime);
 
   constexpr field::zq_t bound0(γ1 - β);
 
@@ -417,8 +406,8 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   bool flg1 = false;
   const bool flg2 = count_1 <= ω;
 
-  for (size_t i = 0; i < hash_out.size(); i++) {
-    flg1 |= static_cast<bool>(sig[sigoff0 + i] ^ hash_out[i]);
+  for (size_t i = 0; i < c_tilda_prime.size(); i++) {
+    flg1 |= static_cast<bool>(sig[sigoff0 + i] ^ c_tilda_prime[i]);
   }
 
   const bool flg3 = flg0 & !flg1 & flg2;
diff --git a/include/dilithium2.hpp b/include/dilithium2.hpp
index a0be5ff..86da684 100644
--- a/include/dilithium2.hpp
+++ b/include/dilithium2.hpp
@@ -16,15 +16,16 @@ constexpr size_t l = 4;
 constexpr uint32_t η = 2;
 constexpr uint32_t β = τ * η;
 constexpr size_t ω = 80;
+constexpr size_t λ = 128;
 
 // = 1312 -bytes Dilithium2 public key
 constexpr size_t PubKeyLen = dilithium_utils::pub_key_len<k, d>();
 
-// = 2528 -bytes Dilithium2 secret key
+// = 2560 -bytes Dilithium2 secret key
 constexpr size_t SecKeyLen = dilithium_utils::sec_key_len<k, l, η, d>();
 
 // = 2420 -bytes Dilithium2 signature
-constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω>();
+constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω, λ>();
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh
 // Dilithium2 keypair.
@@ -42,15 +43,13 @@ keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey,
 // last parameter of the function. If you choose (default) deterministic
 // signing, you can safely pass `nullptr` for last parameter of this function -
 // as that seed will never be accessed during signing.
-template<const bool random = false>
 inline void
-sign(std::span<const uint8_t, SecKeyLen> seckey,
+sign(std::span<const uint8_t, 32> rnd,
+     std::span<const uint8_t, SecKeyLen> seckey,
      std::span<const uint8_t> msg,
-     std::span<uint8_t, SigLen> sig,
-     std::span<const uint8_t, 64 * random> seed)
+     std::span<uint8_t, SigLen> sig)
 {
-  constexpr bool r = random;
-  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, r>(seckey, msg, sig, seed);
+  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
 
 // Given a Dilithium2 public key, a message M and a signature S, this routine
@@ -60,7 +59,7 @@ sign(std::span<const uint8_t, SecKeyLen> seckey,
 inline bool
 verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
 {
-  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω>(pubkey, msg, sig);
+  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
 
 }
diff --git a/include/dilithium3.hpp b/include/dilithium3.hpp
index 770b347..9647320 100644
--- a/include/dilithium3.hpp
+++ b/include/dilithium3.hpp
@@ -16,15 +16,16 @@ constexpr size_t l = 5;
 constexpr uint32_t η = 4;
 constexpr uint32_t β = τ * η;
 constexpr size_t ω = 55;
+constexpr size_t λ = 192;
 
 // = 1952 -bytes Dilithium3 public key
 constexpr size_t PubKeyLen = dilithium_utils::pub_key_len<k, d>();
 
-// = 4000 -bytes Dilithium3 secret key
+// = 4032 -bytes Dilithium3 secret key
 constexpr size_t SecKeyLen = dilithium_utils::sec_key_len<k, l, η, d>();
 
-// = 3293 -bytes Dilithium3 signature
-constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω>();
+// = 3309 -bytes Dilithium3 signature
+constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω, λ>();
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh
 // Dilithium3 keypair.
@@ -42,15 +43,13 @@ keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey,
 // last parameter of the function. If you choose (default) deterministic
 // signing, you can safely pass `nullptr` for last parameter of this function -
 // as that seed will never be accessed during signing.
-template<const bool random = false>
 inline void
-sign(std::span<const uint8_t, SecKeyLen> seckey,
+sign(std::span<const uint8_t, 32> rnd,
+     std::span<const uint8_t, SecKeyLen> seckey,
      std::span<const uint8_t> msg,
-     std::span<uint8_t, SigLen> sig,
-     std::span<const uint8_t, 64 * random> seed)
+     std::span<uint8_t, SigLen> sig)
 {
-  constexpr bool r = random;
-  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, r>(seckey, msg, sig, seed);
+  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
 
 // Given a Dilithium3 public key, a message M and a signature S, this routine
@@ -60,7 +59,7 @@ sign(std::span<const uint8_t, SecKeyLen> seckey,
 inline bool
 verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
 {
-  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω>(pubkey, msg, sig);
+  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
 
 }
diff --git a/include/dilithium5.hpp b/include/dilithium5.hpp
index 02fb148..39947c9 100644
--- a/include/dilithium5.hpp
+++ b/include/dilithium5.hpp
@@ -16,15 +16,16 @@ constexpr size_t l = 7;
 constexpr uint32_t η = 2;
 constexpr uint32_t β = τ * η;
 constexpr size_t ω = 75;
+constexpr size_t λ = 256;
 
 // = 2592 -bytes Dilithium5 public key
 constexpr size_t PubKeyLen = dilithium_utils::pub_key_len<k, d>();
 
-// = 4864 -bytes Dilithium5 secret key
+// = 4896 -bytes Dilithium5 secret key
 constexpr size_t SecKeyLen = dilithium_utils::sec_key_len<k, l, η, d>();
 
-// = 4595 -bytes Dilithium5 signature
-constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω>();
+// = 4627 -bytes Dilithium5 signature
+constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω, λ>();
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh
 // Dilithium5 keypair.
@@ -42,15 +43,13 @@ keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey,
 // last parameter of the function. If you choose (default) deterministic
 // signing, you can safely pass `nullptr` for last parameter of this function -
 // as that seed will never be accessed during signing.
-template<const bool random = false>
 inline void
-sign(std::span<const uint8_t, SecKeyLen> seckey,
+sign(std::span<const uint8_t, 32> rnd,
+     std::span<const uint8_t, SecKeyLen> seckey,
      std::span<const uint8_t> msg,
-     std::span<uint8_t, SigLen> sig,
-     std::span<const uint8_t, 64 * random> seed)
+     std::span<uint8_t, SigLen> sig)
 {
-  constexpr bool r = random;
-  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, r>(seckey, msg, sig, seed);
+  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
 
 // Given a Dilithium5 public key, a message M and a signature S, this routine
@@ -60,7 +59,7 @@ sign(std::span<const uint8_t, SecKeyLen> seckey,
 inline bool
 verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
 {
-  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω>(pubkey, msg, sig);
+  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
 
 }
diff --git a/include/params.hpp b/include/params.hpp
index e39b3a3..197bfc8 100644
--- a/include/params.hpp
+++ b/include/params.hpp
@@ -93,14 +93,15 @@ check_signing_params(const size_t k,
                      const uint32_t γ2,
                      const uint32_t τ,
                      const uint32_t β,
-                     const size_t ω)
+                     const size_t ω,
+                     const size_t λ)
 {
   return ((k == 4) && (l == 4) && (d == 13) && (η == 2) && (γ1 == (1u << 17)) && (γ2 == ((field::Q - 1) / 88)) &&
-          (τ == 39) && (β == τ * η) && (ω == 80)) ||
+          (τ == 39) && (β == τ * η) && (ω == 80) && (λ == 128)) ||
          ((k == 6) && (l == 5) && (d == 13) && (η == 4) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) &&
-          (τ == 49) && (β == τ * η) && (ω == 55)) ||
+          (τ == 49) && (β == τ * η) && (ω == 55) && (λ == 192)) ||
          ((k == 8) && (l == 7) && (d == 13) && (η == 2) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) &&
-          (τ == 60) && (β == τ * η) && (ω == 75));
+          (τ == 60) && (β == τ * η) && (ω == 75) && (λ == 256));
 }
 
 // Compile-time executable constraints for ensuring that Dilithium verification
@@ -114,14 +115,15 @@ check_verify_params(const size_t k,
                     const uint32_t γ2,
                     const uint32_t τ,
                     const uint32_t β,
-                    const size_t ω)
+                    const size_t ω,
+                    const size_t λ)
 {
   return ((k == 4) && (l == 4) && (d == 13) && (γ1 == (1u << 17)) && (γ2 == ((field::Q - 1) / 88)) && (τ == 39) &&
-          (β == τ * 2) && (ω == 80)) ||
+          (β == τ * 2) && (ω == 80) && (λ == 128)) ||
          ((k == 6) && (l == 5) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) && (τ == 49) &&
-          (β == τ * 4) && (ω == 55)) ||
+          (β == τ * 4) && (ω == 55) && (λ == 192)) ||
          ((k == 8) && (l == 7) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) && (τ == 60) &&
-          (β == τ * 2) && (ω == 75));
+          (β == τ * 2) && (ω == 75) && (λ == 256));
 }
 
 }
diff --git a/include/utils.hpp b/include/utils.hpp
index ae6e3be..b2bddc7 100644
--- a/include/utils.hpp
+++ b/include/utils.hpp
@@ -1,9 +1,10 @@
 #pragma once
 #include "params.hpp"
-#include "reduction.hpp"
 #include <cassert>
 #include <charconv>
+#include <cstdint>
 #include <iomanip>
+#include <limits>
 #include <sstream>
 #include <vector>
 
@@ -36,7 +37,7 @@ sec_key_len()
   requires(dilithium_params::check_d(d))
 {
   constexpr size_t eta_bw = std::bit_width(2 * η);
-  constexpr size_t sklen = 32 + 32 + 32 + 32 * (eta_bw * (k + l) + k * d);
+  constexpr size_t sklen = 32 + 32 + 64 + 32 * (eta_bw * (k + l) + k * d);
   return sklen;
 }
 
@@ -45,12 +46,12 @@ sec_key_len()
 //
 // See table 2 and section 5.4 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-template<size_t k, size_t l, uint32_t γ1, size_t ω>
+template<size_t k, size_t l, uint32_t γ1, size_t ω, size_t λ>
 static inline constexpr size_t
 sig_len()
 {
   constexpr size_t gamma1_bw = std::bit_width(γ1);
-  constexpr size_t siglen = 32 + (32 * l * gamma1_bw) + (ω + k);
+  constexpr size_t siglen = ((2 * λ) / std::numeric_limits<uint8_t>::digits) + (32 * l * gamma1_bw) + (ω + k);
   return siglen;
 }
 

From 37e09fcb6828f7bfdb2cbee34ce89c56f89f0d2d Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 30 Jun 2024 17:39:34 +0400
Subject: [PATCH 03/37] Update keygen->sign->verify tests so that they work
 with new signing API

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_signing.cpp     | 15 ++++++++++++---
 tests/test_signing_kat.cpp | 10 ++++++----
 2 files changed, 18 insertions(+), 7 deletions(-)

diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
index 1682e3b..3680a53 100644
--- a/tests/test_signing.cpp
+++ b/tests/test_signing.cpp
@@ -47,6 +47,7 @@ test_dilithium2_signing(const size_t mlen)
   constexpr size_t siglen = dilithium2::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
+  std::vector<uint8_t> rnd(slen, 0);
   std::vector<uint8_t> pkey0(pklen, 0);
   std::vector<uint8_t> pkey1(pklen, 0);
   std::vector<uint8_t> skey(sklen, 0);
@@ -56,6 +57,7 @@ test_dilithium2_signing(const size_t mlen)
   std::vector<uint8_t> msg1(mlen, 0);
 
   auto _seed = std::span<uint8_t, slen>(seed);
+  auto _rnd = std::span<uint8_t, slen>(rnd);
   auto _pkey0 = std::span<uint8_t, pklen>(pkey0);
   auto _pkey1 = std::span<uint8_t, pklen>(pkey1);
   auto _skey = std::span<uint8_t, sklen>(skey);
@@ -68,11 +70,12 @@ test_dilithium2_signing(const size_t mlen)
 
   prng.read(_seed);
   prng.read(_msg0);
+  prng.read(_rnd);
 
   bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
 
   dilithium2::keygen(_seed, _pkey0, _skey);
-  dilithium2::sign(_skey, _msg0, _sig0, {});
+  dilithium2::sign(_rnd, _skey, _msg0, _sig0);
 
   std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
   std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
@@ -115,6 +118,7 @@ test_dilithium3_signing(const size_t mlen)
   constexpr size_t siglen = dilithium3::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
+  std::vector<uint8_t> rnd(slen, 0);
   std::vector<uint8_t> pkey0(pklen, 0);
   std::vector<uint8_t> pkey1(pklen, 0);
   std::vector<uint8_t> skey(sklen, 0);
@@ -124,6 +128,7 @@ test_dilithium3_signing(const size_t mlen)
   std::vector<uint8_t> msg1(mlen, 0);
 
   auto _seed = std::span<uint8_t, slen>(seed);
+  auto _rnd = std::span<uint8_t, slen>(rnd);
   auto _pkey0 = std::span<uint8_t, pklen>(pkey0);
   auto _pkey1 = std::span<uint8_t, pklen>(pkey1);
   auto _skey = std::span<uint8_t, sklen>(skey);
@@ -136,11 +141,12 @@ test_dilithium3_signing(const size_t mlen)
 
   prng.read(_seed);
   prng.read(_msg0);
+  prng.read(_rnd);
 
   bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
 
   dilithium3::keygen(_seed, _pkey0, _skey);
-  dilithium3::sign(_skey, _msg0, _sig0, {});
+  dilithium3::sign(_rnd, _skey, _msg0, _sig0);
 
   std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
   std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
@@ -183,6 +189,7 @@ test_dilithium5_signing(const size_t mlen)
   constexpr size_t siglen = dilithium5::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
+  std::vector<uint8_t> rnd(slen, 0);
   std::vector<uint8_t> pkey0(pklen, 0);
   std::vector<uint8_t> pkey1(pklen, 0);
   std::vector<uint8_t> skey(sklen, 0);
@@ -192,6 +199,7 @@ test_dilithium5_signing(const size_t mlen)
   std::vector<uint8_t> msg1(mlen, 0);
 
   auto _seed = std::span<uint8_t, slen>(seed);
+  auto _rnd = std::span<uint8_t, slen>(rnd);
   auto _pkey0 = std::span<uint8_t, pklen>(pkey0);
   auto _pkey1 = std::span<uint8_t, pklen>(pkey1);
   auto _skey = std::span<uint8_t, sklen>(skey);
@@ -204,11 +212,12 @@ test_dilithium5_signing(const size_t mlen)
 
   prng.read(_seed);
   prng.read(_msg0);
+  prng.read(_rnd);
 
   bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
 
   dilithium5::keygen(_seed, _pkey0, _skey);
-  dilithium5::sign(_skey, _msg0, _sig0, {});
+  dilithium5::sign(_rnd, _skey, _msg0, _sig0);
 
   std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
   std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index 774603b..0c363db 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -1,7 +1,6 @@
 #include "dilithium2.hpp"
 #include "dilithium3.hpp"
 #include "dilithium5.hpp"
-#include <algorithm>
 #include <array>
 #include <charconv>
 #include <fstream>
@@ -70,6 +69,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
       std::vector<uint8_t> _pkey(dilithium2::PubKeyLen, 0);
       std::vector<uint8_t> _skey(dilithium2::SecKeyLen, 0);
       std::vector<uint8_t> _sig(dilithium2::SigLen, 0);
+      std::array<uint8_t, 32> rnd{}; // Empty 32 -bytes randomness
 
       auto __pkey = std::span<uint8_t, dilithium2::PubKeyLen>(_pkey); // Computed public key
       auto __skey = std::span<uint8_t, dilithium2::SecKeyLen>(_skey); // Computed secret key
@@ -77,7 +77,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 
       // Keygen -> Sign -> Verify
       dilithium2::keygen(_seed, __pkey, __skey);
-      dilithium2::sign(__skey, _msg, __sig, {});
+      dilithium2::sign(rnd, __skey, _msg, __sig);
       const auto f = dilithium2::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
@@ -158,10 +158,11 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
       auto __pkey = std::span<uint8_t, dilithium3::PubKeyLen>(_pkey); // Computed public key
       auto __skey = std::span<uint8_t, dilithium3::SecKeyLen>(_skey); // Computed secret key
       auto __sig = std::span<uint8_t, dilithium3::SigLen>(_sig);      // Computed signature
+      std::array<uint8_t, 32> rnd{};                                  // Empty 32 -bytes randomness
 
       // Keygen -> Sign -> Verify
       dilithium3::keygen(_seed, __pkey, __skey);
-      dilithium3::sign(__skey, _msg, __sig, {});
+      dilithium3::sign(rnd, __skey, _msg, __sig);
       const auto f = dilithium3::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
@@ -242,10 +243,11 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
       auto __pkey = std::span<uint8_t, dilithium5::PubKeyLen>(_pkey); // Computed public key
       auto __skey = std::span<uint8_t, dilithium5::SecKeyLen>(_skey); // Computed secret key
       auto __sig = std::span<uint8_t, dilithium5::SigLen>(_sig);      // Computed signature
+      std::array<uint8_t, 32> rnd{};                                  // Empty 32 -bytes randomness
 
       // Keygen -> Sign -> Verify
       dilithium5::keygen(_seed, __pkey, __skey);
-      dilithium5::sign(__skey, _msg, __sig, {});
+      dilithium5::sign(rnd, __skey, _msg, __sig);
       const auto f = dilithium5::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected

From 109ccc4b9522bc7bae8de70a7ec7ed2df23bdacf Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 30 Jun 2024 17:43:57 +0400
Subject: [PATCH 04/37] Update KAT files, testing conformance with ML-DSA
 official reference implementation

See https://gist.github.com/itzmeanjan/d14afc3866b82119221682f0f3c9822d for how I generated these KAT files.

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 kats/{dilithium2.kat => ml_dsa_44.kat} | 400 ++++++++++++-------------
 kats/{dilithium3.kat => ml_dsa_65.kat} | 400 ++++++++++++-------------
 kats/{dilithium5.kat => ml_dsa_87.kat} | 400 ++++++++++++-------------
 tests/test_signing_kat.cpp             |   6 +-
 4 files changed, 603 insertions(+), 603 deletions(-)
 rename kats/{dilithium2.kat => ml_dsa_44.kat} (70%)
 rename kats/{dilithium3.kat => ml_dsa_65.kat} (72%)
 rename kats/{dilithium5.kat => ml_dsa_87.kat} (70%)

diff --git a/kats/dilithium2.kat b/kats/ml_dsa_44.kat
similarity index 70%
rename from kats/dilithium2.kat
rename to kats/ml_dsa_44.kat
index a144f6f..7606c13 100644
--- a/kats/dilithium2.kat
+++ b/kats/ml_dsa_44.kat
@@ -1,700 +1,700 @@
 seed = 7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d
 pkey = 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
-skey = 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 mlen = 33
 msg = d81c4d8d734fcbfbeade3d3f8a039faa2a2c9957e835ad55b22e75bf57bb556ac8
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 mlen = 66
 msg = 225d5ce2ceac61930a07503fb59f7c2f936a3e075481da3ca299a80f8c5df9223a073e7b90e02ebf98ca2227eba38c1ab2568209e46dba961869c6f83983b17dcd49
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 seed = 1d836e889e46259bcd1ccd2b369583c5b47cfbb919ec2b72c280247cb15a5569
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 mlen = 99
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 mlen = 165
 msg = 1cdf0ae1124780a8ff00318f779a3b86b3504d059ca7ab3fe4d6eae9fd46428d1dabb704c0735a8fe8708f409741017b723d9a304e54fdc5789a7b0748c2464b7308ac9665115644c569ae253d5205751342574c03346dddc1950a6273546616b96d0c5ece0a044af0edefbe445f9ae37da5afb8d22a56d9fd1801425a0a276f48431d7af039521e549551481391fe5f4ebfb7644d9f9782d83a95137e84ea3aeb3c2f8099
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 seed = e17e72290e49a44c9c534f211195257cf13b0d45405782ceda2d7f982a551721
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 mlen = 198
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 mlen = 231
 msg = 0073bee97fc97c0fbc750d474aeb93189f061e1a5cf6600c04fb0464338ec7e85252f94fcbc7b2bd00e438480d9af3add92a92e3e2e8acb55077c3278fc7503988a76e9b6062996b20889aa55b343d5a003c8a8852d738f955799fa3426be5ccd3aa6b6eda04d4884941ffc0b69c5acf12b347a74d0580cc3335ba816200f87674a4c1d98097c70f2f27c74e94a661850610ecf4847ab5b58344f958c5719e06ba396225bbe21acb0fdc512b885d391e11b0c0ed5ce6b5dd8faff91f50025c69d43072f7706d80d9fd786e1104125d79a5f4b5fd838815d44fc8b1ab678078cc174dde970d448b
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 mlen = 264
 msg = a1586245d81f96bd8ee81aa30f10c0adb343d74cf72c4dff71550c12873af89fa1874d4731c996243c3749af3f6188ffe9fa45430549045134eb29ef3cec37e72904aa082b1c6161e6b52361e49af4933a8d8c0734f21cafd7467b0c02876f43211d6122e3e735fe36064df7a0c91449237c2bc7c3a78ac7bb0f9567f2576f05802c872adf183a87aa3b8217188f2f3535f877724f35b29e545de4bcf258f13bbc7edd8c6587f733c9691f74b4151cf8c060c3ae9e8d49fe7c77bf477dc9f23fd0f0b67320275529034b84f94176730923c03aa50f9584d9c2d60b8dccf85a13f243f30a51abefbbf2cda602bf3d75e849eb92422b808416c7e56b046ce38e4677ad24d23d7237a9
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 mlen = 297
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 mlen = 363
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 mlen = 429
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 mlen = 495
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 mlen = 528
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 mlen = 561
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 mlen = 627
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 mlen = 2244
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 mlen = 2277
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 mlen = 2310
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 mlen = 2970
 msg = 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 mlen = 3234
 msg = 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 mlen = 3267
 msg = 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 mlen = 3300
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diff --git a/kats/dilithium3.kat b/kats/ml_dsa_65.kat
similarity index 72%
rename from kats/dilithium3.kat
rename to kats/ml_dsa_65.kat
index a1b9543..ba74378 100644
--- a/kats/dilithium3.kat
+++ b/kats/ml_dsa_65.kat
@@ -1,700 +1,700 @@
 seed = 7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d
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 mlen = 33
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 mlen = 66
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 mlen = 198
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 mlen = 231
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 mlen = 264
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 mlen = 297
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 mlen = 495
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 mlen = 528
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 mlen = 594
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 mlen = 627
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 mlen = 726
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 mlen = 759
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 mlen = 792
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 mlen = 1749
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 mlen = 2112
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 mlen = 2145
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 mlen = 2244
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 mlen = 2310
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 mlen = 2409
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 mlen = 2706
 msg = 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
diff --git a/kats/dilithium5.kat b/kats/ml_dsa_87.kat
similarity index 70%
rename from kats/dilithium5.kat
rename to kats/ml_dsa_87.kat
index c7aa5d5..3c0ed76 100644
--- a/kats/dilithium5.kat
+++ b/kats/ml_dsa_87.kat
@@ -1,700 +1,700 @@
 seed = 7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d
 pkey = 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 mlen = 33
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 mlen = 66
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 mlen = 99
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 mlen = 132
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 mlen = 165
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 mlen = 198
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 mlen = 231
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 mlen = 264
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 mlen = 297
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 mlen = 330
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 mlen = 363
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 mlen = 495
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 mlen = 528
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 mlen = 594
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 mlen = 627
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 mlen = 693
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 mlen = 726
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 mlen = 759
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 mlen = 1056
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 mlen = 1320
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 mlen = 2178
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 mlen = 2211
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 mlen = 2244
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 mlen = 2277
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 mlen = 2310
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 mlen = 2343
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 mlen = 2376
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 mlen = 2442
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 mlen = 2475
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 mlen = 2508
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 mlen = 2574
 msg = 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 mlen = 2607
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 mlen = 2640
 msg = 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 mlen = 2673
 msg = 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 mlen = 2706
 msg = 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 mlen = 2739
 msg = 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 mlen = 2772
 msg = 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 mlen = 2805
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 mlen = 2838
 msg = 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 mlen = 2871
 msg = 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 mlen = 2904
 msg = 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 mlen = 2937
 msg = 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 mlen = 2970
 msg = 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 mlen = 3003
 msg = 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 msg = 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 mlen = 3069
 msg = 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 mlen = 3135
 msg = 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 mlen = 3168
 msg = 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 mlen = 3201
 msg = 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 mlen = 3234
 msg = 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 mlen = 3267
 msg = 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
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index 0c363db..e99564c 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -17,7 +17,7 @@ namespace utils = dilithium_utils;
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
 TEST(Dilithium, Dilithium2KnownAnswerTests)
 {
-  const std::string kat_file = "./kats/dilithium2.kat";
+  const std::string kat_file = "./kats/ml_dsa_44.kat";
   std::fstream file(kat_file);
 
   while (true) {
@@ -102,7 +102,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
 TEST(Dilithium, Dilithium3KnownAnswerTests)
 {
-  const std::string kat_file = "./kats/dilithium3.kat";
+  const std::string kat_file = "./kats/ml_dsa_65.kat";
   std::fstream file(kat_file);
 
   while (true) {
@@ -187,7 +187,7 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
 TEST(Dilithium, Dilithium5KnownAnswerTests)
 {
-  const std::string kat_file = "./kats/dilithium5.kat";
+  const std::string kat_file = "./kats/ml_dsa_87.kat";
   std::fstream file(kat_file);
 
   while (true) {

From deb804f101b261b03031b0c5d43e66d6e98c7ec4 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 30 Jun 2024 18:01:12 +0400
Subject: [PATCH 05/37] Updated KAT files with new `rnd` field

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 kats/ml_dsa_44.kat         | 100 +++++++++++++++++++++++++++++++++++++
 kats/ml_dsa_65.kat         | 100 +++++++++++++++++++++++++++++++++++++
 kats/ml_dsa_87.kat         | 100 +++++++++++++++++++++++++++++++++++++
 tests/test_signing_kat.cpp |  35 ++++++++++---
 4 files changed, 328 insertions(+), 7 deletions(-)

diff --git a/kats/ml_dsa_44.kat b/kats/ml_dsa_44.kat
index 7606c13..cdcef33 100644
--- a/kats/ml_dsa_44.kat
+++ b/kats/ml_dsa_44.kat
@@ -3,6 +3,7 @@ pkey = 1c0ee1111b08003f28e65e8b3bdeb037cf8f221dfcdaf5950edb38d506d85bef6177e3de0
 skey = 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
 mlen = 33
 msg = d81c4d8d734fcbfbeade3d3f8a039faa2a2c9957e835ad55b22e75bf57bb556ac8
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 4b622de1350119c45a9f2e2ef3dc5df50a759d138cdfbd64c81cc7cc2f513345
@@ -10,6 +11,7 @@ pkey = b541c1e92ceadd904a09ec08ad306d974734a077868471e58d077187c46604cf2dd604d53
 skey = 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 mlen = 66
 msg = 225d5ce2ceac61930a07503fb59f7c2f936a3e075481da3ca299a80f8c5df9223a073e7b90e02ebf98ca2227eba38c1ab2568209e46dba961869c6f83983b17dcd49
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 1d836e889e46259bcd1ccd2b369583c5b47cfbb919ec2b72c280247cb15a5569
@@ -17,6 +19,7 @@ pkey = cf39b474ce5d8eeb353c885dbc60d2a95546f4d2a97b9f0e46c5e17c1a8cc13926c2d30aa
 skey = 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
 mlen = 99
 msg = 2b8c4b0f29363eaee469a7e33524538aa066ae98980eaa19d1f10593203da2143b9e9e1973f7ff0e6c6aaa3c0b900e50d003412efe96deece3046d8c46bc7709228789775abdf56aed6416c90033780cb7a4984815da1b14660dcf34aa34bf82cebbcf
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 539577cb7f2088fbedff1b53f235d607321857db32bba645f8df3a89dd426552
@@ -24,6 +27,7 @@ pkey = 945c75c48230174ed23789ccb96a2d73e56708bcee08de339cc6dcff654f7fbfc5e449cc6
 skey = 945c75c48230174ed23789ccb96a2d73e56708bcee08de339cc6dcff654f7fbf0d569c84d59fd868b9ed7254465d5376f201542735d9a9ff810767c7b39c0ee199a6ba4db4f57b890453f86dedcf217780435ae2874628666f0d6ea97f6d85e5f6c5ba5c97dff25355b201f75493bad6f535c60379dc5a8255797ac1deadb0bec040908b300922187164a88d998441dc96298a922d201211808605a442261ca05149823109876d82448a99082424c58d22214953144811368dca3082d1368dd8328891100519108e6406905c3462134901040408c2020e00b190598064511432d14250d9068a1a29480c10864046300b416d09098d104871601286c4048e123020e44870810002db824809c5319ab24cd3184c63240643106a88a68050084c24038c891269a2b230000346442486c810040ac2714914300102320c3129cb068ad186086048259c862c08c72154989059944c84000421224dcc045080227092360903114ce3088e2045864ac60de3428914488a83040ee42246a1b688938600a3c6101b358e60205019166e08334908008da4144c59244c1ab3054c244c61b40961b631c4382510122583285021b80d12824d1811881b87651b040a48082c1aa360038329c41461c2924c5c30421c234aa20024c1806110455001b78159b82d5cc64dc086105b380e8420451a804c43b08da4322998b4119bb4519202222123290c2570dba26c0a380023252554363181486663084504c429a31029a2846082384942406e2141329b288001396e18464404166061004d141501c94220d9262d93344952186d21982d22b740c32040d308110293641399841c100920076141c8502290610c83459c060148206280386683204c0ca3240a360642c231009165e2c62d2395048828811a3000d8046e1a392520c384d9b8045a38861b31300cc35062944942182cd0a84144106543986d22008dc3188659987042c2898ba088a0b89109a46c1ba00590464c54b42554b6711a860c8b82808094511b4101d210440c4230411820804620dc864841246899c830603492d81625c1442a230985a292080a303112b36cd9a250e42070891868d0026e030450a48088db10651ca710c3423240860d0cc28124c5882482611b442ad3846c23216e5a02500482250236661b3945c3340a4c002e189669db04465b066d9aa82d4bb2049230680c1061a02631d88030d192850305098a2031122092c3326c209111cc388a133965018768a1828826994b91224be06345a3a3b6f3a2c671be76f2acbcb7b4c01912a79cf8575f554e309c308e0144bfa1dacedd9883fcad675baf3eb24546cba3b800d62ed4af987eb7e6215dd626ebfa9da43f96108f8690673511f8b8ca7b30aec70049e52ca675f4df80e508ff17bcff83f900428928d60857e53c3446eeb23900a4dad9cb959836ed4e640052dff9cabc3368a07984f7aa8d90a71c2a1f5da2f440e0d344ede441b6e5f6947e6350bc35a8c71e343b52446dab5fcd4ca44284720b67525555393b2f670a4f2db49dc55de142bb39602eb71b5ad575cd0d1d94861fe1411350e157aacbb7917f7de4ca6d7b88f3f8b024694d5ad19be301f18b4869b19110f9ccde37b099664abe7c3173b3c4a78539974a272f2a84c4ed589589fdc0c6791317470a14330a271720d79b2c3b05ccafa9a5c0b5fdade7bcb4db34dbf6ba9c4ca7f91c6daba64aed5001d101bb270bee8eaf0b241e28f607c689e08dd60e044e47a03dbc98e93a5fc312cbc44230b301567b7602859c6f47cac1b921ba6fe245ecd66272e166e0a05531317df90ddeaa34b351cbf2d8c0ac39f30db57e6bd734e9b4aad27fc60130dd91fa4e2fa0e030c820cbc416198e6412f41897640d66f9047e6ccca5b1a35a93bc4653f0da20ebfaffd8981375bb02c34bbe0179eec9b68145ca02cdaf6170291d89a15e45af3fb0fa1071a63c5127fc9ae3d49a197269bd48bad67727429f1f49972fa48e8c2aa6f31c83d9da1c0d9078a6fb79c77790dfec5bfff4a4de4a8875feaeaa1a3882198400132aab1f5b58e4f681f65863686bcf19a08d2784c47909065f38bdd3641434c68c320d2a01f9569f16253255249bf99b77cb7733bf76f787573cba2441cdd48f5a078f6d5caa18b9f218931bb4a9647fe13b0f87dc5d9855d0abcbfbee4d466f31aac28fc60d53f6e450ff54929f0a87f261cf6f84ebee948485a771b568007cc20f1a7dd0bcc0eeca3690014f02caebcebd383a9f413f42ba986545f652e83039b294621604fe140abedab8200bed07a2199617869cc5b2edeb2fa48e668bb247d9ebb8d0301d97d0136fa75321ccc85a44e217028032b8862cba26f51d30d209d8a2f942ed1012642c9ce1cf27942c134d84bda1f54111ce001f78ba36d3aec7eb72d3e6a3bf217e252316591196bfe45a3d0e0c45dfb9efedafb75cd025e18a3c2587ae41a4c446f0bfb6787897520462fc487021a16cec77020639f5695cc7e3a3092c7472ceb62286b6beb755c7f6b511c512200fb91268793b9de824aab19998301c5fe0fac57d34ea7cf43ea0669dd7dcc6af97cd8b13b3142f371241c42ce39fc0dc9b3ae42227ea2fea2690078bc51a794dc8224622beee31d2b33984a8a5d395f8cd38867ddd598b37e59317448ef0210dd1d72e359dd27e9f2911975807879f33178f895f213aaa9088ed6fd75c2ebff05bd881dcdca92488da33a40d12cd03104c290cf8ef84a02ef9e5525f8613d03ded34fab11ad8611938ca9007a06c23c78705b8578ae4e119f556ced11fa4daddb4d81ba75c128c5160634b8f2383a2b6d19e943ad624d4848300deb455a869875168aab247735c760e10caf0f8e2a17d90125894d534f7fb29d36203ce66052e1ab4687a4fda7771a0d7dc4f5ea743c52a3900174b79e67bddb4cee5b021ff013c099f9a04a3d9bae241986eb1f58c0445dd682d2c6a447aca042efec175947d970cf48e952f33886f68c39efe298cf454f968082ebc6555d8423df241b09dfb0fbc287fe78db16a9b2dbe40e7c7bfadfafdb97a4f7fee149ed6e1d2265d168d120748e735a148c7f7734430e9e1053d381da69b2e05dea86ffa16ce565527175ac04fa20b49a57822c11569315f301b75fe7f7d7085ee6bd9eb902e8faa2343bd40baa91f2bc341fd37777ba95bf4c8a8fa16fb355f4208a64514f8569a5a1cd64954758a9dfa8467ae38fb471e3ed02c6b966e6655c327a23f923edb46ff4b6ade73fef88fe3d8863ec75998623f1f433edbbf7493afecd9d3d725b1aedba71aa8d58d17d79f305cafa2623042bebbd0428487f613164ef0c95ea0b032a3526e25075940ee69636d4201eb63ee2ddf161c70156b493b754ec0655a08cefa7ab3fd60b524ad83687925a4342be4b55ec6d946328b25d77cb3815ecff1fcee51e3aea0cf8be70d549b46eca8e18ec1d98d9f8c4e5ca476bc7d9b2d90352a0d9eb5310e3afd48a33952513a2fa13b674a2b311b75b2188b5662ecdf5be3476595fb7f46bb8ebe0969da5046809e9524a6574b6d3728e783db8e56fabed0f0e657d58d2444fa3dee45579a79de236e39e3ed4f12d6908248
 mlen = 132
 msg = 2f7af5b52a046471efcd720c9384919be05a61cde8e8b01251c5ab885e820fd36ed9ff6fdf45783ec81a86728cbb74b426adff96123c08fac2bc6c58a9c0dd71761292262c65f20df47751f0831770a6bb7b3760bb7f5efffb6e11ac35f353a6f24400b80b287834e92c9cf0d3c949d6dca31b0b94e0e3312e8bd02174b170c2ca9355fe
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 2ca59c6cf33c53803749f69ef5abfa9482fcee7efd87fbf17135ecc3ff3fd7f7
@@ -31,6 +35,7 @@ pkey = a5be845a57bc4f592e37012ec47f9d3669e3285a7fff5cae360f592dbcfdf1c50cc0fcd2c
 skey = 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
 mlen = 165
 msg = 1cdf0ae1124780a8ff00318f779a3b86b3504d059ca7ab3fe4d6eae9fd46428d1dabb704c0735a8fe8708f409741017b723d9a304e54fdc5789a7b0748c2464b7308ac9665115644c569ae253d5205751342574c03346dddc1950a6273546616b96d0c5ece0a044af0edefbe445f9ae37da5afb8d22a56d9fd1801425a0a276f48431d7af039521e549551481391fe5f4ebfb7644d9f9782d83a95137e84ea3aeb3c2f8099
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = e17e72290e49a44c9c534f211195257cf13b0d45405782ceda2d7f982a551721
@@ -38,6 +43,7 @@ pkey = 2b37777152beae15cd70fed3c8dd2819ef9c422043f7ae2b652c598258fba80e4f54328b3
 skey = 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 mlen = 198
 msg = dbe5b6c299b44f8d60fa972a336df789ef4534ec9ba90df92ad401d1907951eb6285eda8f134277ab0a1145001c34e392187122506aa2dbb8617d7943a129eb5c07df133d7ccde94a7cb7f1795c62493ed375353d1f044257da799f7d112c174fbc35687e2f87fefbe2d83d29d7314b30a749fe41b1b81095638f112bc4563420af235280e466ffbe7050c4937c60fc18d1a6025bcbd489f0c538e088e906abe8597e2c8ebb64f01d225c847aae4b77bae6eba9269962c4b94a9732ceaa2cb4093d442ffbcdd
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 3b7388e675de5c59a78af095481c7dd999c6eea898595b1e7dcda7edc3a2c25c
@@ -45,6 +51,7 @@ pkey = ef2b7c90be998e114415c25e5cdb04c90071a86a3a240de4ec797d7e46e0f6860bc67f1c5
 skey = 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 mlen = 231
 msg = 0073bee97fc97c0fbc750d474aeb93189f061e1a5cf6600c04fb0464338ec7e85252f94fcbc7b2bd00e438480d9af3add92a92e3e2e8acb55077c3278fc7503988a76e9b6062996b20889aa55b343d5a003c8a8852d738f955799fa3426be5ccd3aa6b6eda04d4884941ffc0b69c5acf12b347a74d0580cc3335ba816200f87674a4c1d98097c70f2f27c74e94a661850610ecf4847ab5b58344f958c5719e06ba396225bbe21acb0fdc512b885d391e11b0c0ed5ce6b5dd8faff91f50025c69d43072f7706d80d9fd786e1104125d79a5f4b5fd838815d44fc8b1ab678078cc174dde970d448b
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = dc9f40cabe2e8e4f3d1538fbc1ada27b61b99081455ab0c4c41b5b3da8101000
@@ -52,6 +59,7 @@ pkey = 2cd04a91dbd7826e4f99c13e5ea14d1a6e7a8725e5873d61b456d64cf59be90e513f002b9
 skey = 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 mlen = 264
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 1dade637ae98c393260f5bbbe288373100dd7af37eba913c528d2b7b998767cb
@@ -59,6 +67,7 @@ pkey = cc568aa4a3dbbd508e987485b26a8cc116511265cf26166b535c09160541f87b481806600
 skey = 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 mlen = 297
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 8866693cee12b909e32a0c64381796633666417e1246b51a2643564b464b4113
@@ -66,6 +75,7 @@ pkey = 2cf2986b5f5355bfecf2add674881d6df901a1b4443c6c737a7f78fc7cc81321d6a357f23
 skey = 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
 mlen = 330
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = d6dad5b2746422f4487b72536d70df88af4b2f9040aa45999f8d7784ef696da0
@@ -73,6 +83,7 @@ pkey = 698c191e1ada2751a3033f56e45d2a71873618d0a870beeffef47a60a2a55d8eeaf1600cb
 skey = 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 mlen = 363
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 68e7818f33b97ba6166768c395bd010cef7bce9995891d164303b53c1123a991
@@ -80,6 +91,7 @@ pkey = 926fb9e01874d732e0471ff0dbeaf5d33141edc6b70740ff1d44b701fbe1809cfa4a30355
 skey = 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 mlen = 396
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 35b153a7706109d4a13d7c4b26aa5b56d9e3fac53b47e91b0c10bd4e0eaafc19
@@ -87,6 +99,7 @@ pkey = 321429d73a5c861bae4c723fafa31b4d62d09142ff1524daca9143944f17619019482a755
 skey = 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
 mlen = 429
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 19f1317a8f3b4ac08fe1a30013cdb65e40e28b214722cf2cc265a98cacd1c8f14416e41e7301e43615c42c08357d9b8355b2d18c07c89e2e1abe8f9ab2fdd18fe92007d092a4e915d7852c33e52eea96d0f1203115277f9d72886d530cbd62c78359d8d13579e8aef90abf1248f1a514c1dcbfd7e7c90b203ceb9d050a132e91ead3157b14e329b0b941b62f74d0bb104984a5be777dcf8f1d34ff0eaa1d7b3331e66af5979ec25124ab03bd4fe4a40299322ba021c886f898864755f9092cbc6ad776a4233000c0ffb6b01013f05a0ac6ad5ba436034878abc91c3ca9a2de147e0c500105b2589a4d74f340dcf1b77bad3b9da8bc3313e24d6d2b04e0b344d7c84aa19643ba51f50e0adcdf7dcde8b57f33f3927f44ace88fcccd5c882c4784eab7e9b162afb2c5f833e2aabaec3c18104042e07c61a4d4328fe8852553751b5f72c7e6393dd4ba2c2c0e57cab5d6f5c436c5cecd2e06c0034d7731bfa34223e2990fa7ea104e482ab2f6d854bcae0561d19945be64c3ffaee8b5ecc591f0acfd2811ea1555d9d2fc9180f32f57eea0ac6511269d9438dcd7557bba26602d2daf1973c876babfcc7af49a9c47f4e31e90473bd81d852fa6bfa57f728fb5a4fbc9235f32a31bd57bb746974e316cf84e19782f811d5106779b805ab117d469130847b1391d70736dadf577e95899b638f3dcda4284dba2b4306a382eb603eadd463ea278aeb61af123ea53b006d0f72fbc42cee0048cd834623e1cc1d84c02abc059dc37ee14b32f2ae56e3f29ea5bd10a01dcfdab70bd0db561fe6c70724143882d9fe373a32dbe21fbd726ab82c5cdb421c7fdade5f6db4a5ee0185bee95ffee4151d60dcc8bf0e375834cc3b00ac3669fa6c0d55388a8706b4f76d10c2120dff22d7534429d1877f6061b15a17a0f48b287bc4b05f27942d1732b3ab5e0921346ba15b9eae4c29abcaea448b80690350d94fb0c4a174eef357b8a1668cec36933bd67d38865a508bd2f0e94d279583c9948949f7521ada60b5ecfea5a7c16f7a70a359f2a127e231df30ef05d77a5978f739b38edf3ca4889da05eba3da70adf047c39c88bca143e15b67feb5187f7cdcd24c08290af885841f550b91da23a4795a0891ea636693764733d8b9b73412af117502cc0c7159405566a7a60925602afcbbeba2b92967340b500f7804e15a561100240dc81fc74b6c397617540686f6dacd782629dd0d3d7b1bd9659c840028cbb9a57a6b855c03c395435f0db7cb7e6c8d69f0524cb90e9c5b0b7075efb2b8f83eccab73557157a3148c46de479d30facae9bdde3ea81589a12a956475121d262d0640e0328cc423ed8db747ab6623c1f6a9e200a364d2302067a51f59ba04456d4ecc619e25e526fae9e409a95787add2fa469353749415b66841165b11c13b828a8cd87098acbb3c4424630b47ef81614bf7d637f262e208a17a8dbb8ce85f35c5d386d5f2bc5c367dc065bf64f3e61ad89eb8e52188539694b2ffcb351647b77f0c47e4606adf8933e40201922359926cb0643fb2c1f5ca6ad69c5e91a3b9cccaae76e53bfa103f3e17a88f29f2cbcbc0eb74c92c8f10a68e0d1287973886060f908423e60fe9a240653e9dffae471b1d635e0cb30766bbfd7ed0fdcac0b3ab97ec3261ecde9b12781f7b13369ec960ec5b3a19ddd1d6627a2a8de9f77883f77ae4878fe308640706fb5d7888980c81c561878d39d88e1cbeed4e548d3ab84ab14c7d3592e01cad02232213c3aa56163afbbb6659dbee2723385dd6bc714123647d0b079421c141eee13a6d94bcbefed315728af241e63107148aafee7f3c9bc1b4c023a7b68ba7a2b2cb38962f352be97a7a5a913e3e044489faa4e0026fa3c86b163d7e061cf2f6ad34e0d654e6cdfb017cb85128681e92784a411e9fc099b7269fa69a367e28da7b6708537c527d7f025b6e2ae831fb6d0510f0350ed246416fa3a9cb39481d9215d17731c593847c13e066c7afc13eebc9e54d546521b4e810f5e1a2aca7fdf053723e61a101670dbb278e19d1cb89811021eed62b7ba4564e6d8f6979b62f177fbbf2bc64223b26fdb015041f4faa311da810c5b4a4660ecc1851bca1b533bc4a7faf297a5556d0128280f0c64dbbd2488d6cd0fcbd17490d1c8ab9ebd081782ffdb3b1ccaa20dc992fc076fab7e67f1c3be761de0ebd0b0149ecf312152d59570ef9fa27dc6f90dbaade415d28e4c14803720289255f9e2247efa52780e88e777a0e68fe2ebdc69a2229fd2e4f8cfe36733c83b11218d9fd463a49498d558b80333310bbbf1bc7964ced4a75e83792143f916ee6d572b02bf00b8ea84795503f5709c2cc22c53ed69cf7b50838701d24eb1ab0266154ad096f4d7a80d56e153d7bfa5b874ff9a1c37e009881e8dd8ed0e4085b497d64e9fc18229b80f73be4bcccf950f2df53f6da1931e83cba6dcaeb78283f2537708de1a7b5405ea3198ee0b69f449fd51f7da99f95d353410d843be3b7c4418110671c8394647a47d042a287bdbf0b6e187eb1f7eaf140a2351a447fed2dcd15acd946035e2fc62de253d4c901b024ff6a3a3dbb8fa463c01d96f6cf2a532c20df24caea72ce144dfaaf40eaeaea7d9e526f64822e2adb9bb43ce92a923ffca2940228354421e348a028d0b5d2336308aa88adfb8f6d07a3db1e1a9afeaca36a82c408c8806332d971bbae06e4174be26800bcf22d7a17306e4a0661ae44a1fe4d2baf85e398af2613c68363e47db87cdf9050e39e33d840523e750dcda4d29e679e19862294b35b5e7713c9f45f9e6d1719e9aea41d4a7afebab63a3e95d205ebd84c17124a0aa3249466c2e809c6f5bc3470a459a57f1c929607acb595498092c8b42a087bb43283a9259904b7af9bac8e24d1e60ed3522a2a9e7e164ed45155ffe647b281e3ee61965280c06ef5f88a9569743e1d295825f70ea924700e845a690b597fe10888b784d9d56c622397e58048f63da8ee46fc963007bf0605e41f5ccb4cf1a6647df1d087cef8ae758fab315c5cab9b1589acc1bdeab9c51edd9f1dce1f585c852a92c134ff67d7593fa58248c0ded60da915b98ad10629c994e632576d0b8ddad2bc2d77894ea8f9d1eafbb4e0c01775803c9b9f54a74fa74425812699c4ba0fa5798cc207a7dac2a3beb48d8c00d9d49523beaaafa1c1d7c2918d1adc72ee193ae3377984e4185de020da5d22d4bfe643d6b0a79bb582d6d7d7f1e2399b79629d5becdb9f15aecfed3edb7f67bef481aa8c1fa6df10e76e4f9b29a675d495d3ef792810aabc061c27486a888f97d5dbe6ed091f2d466187a8b5d5e7ebf80d1f252e3646516e7e868ca0a8dee0e804080d19353b4c6072757e8e959abdd1e8e9000000000000000000000000000000000000000000000c18283a
 
 seed = 0e1a1634fb2396e187cd8980ef29663c42dc3ef963ccd491f817a84283a11fa0
@@ -94,6 +107,7 @@ pkey = f9dd5f7ddf9ecf752eb35a36d65b238f4eafc6a96d87c988eaf592ab809b497bdc41e3315
 skey = 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 mlen = 462
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = b0bfa060f1c1a70f1ac55e321e6186a6613605dd732574b5fe6e14f0ff6f7a82
@@ -101,6 +115,7 @@ pkey = 9d8c102a863b46476b536027234d5a7fc36e02cccc098543974b4bba8efe6e3386ef98c2b
 skey = 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
 mlen = 495
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = a33bc0a7a08c13c0d4c1174ddd886aac4c5666e1f4831f006c9519d36b2ce882
@@ -108,6 +123,7 @@ pkey = 431a0b985cd3329c299ff2cdc80986397d0f159b49d8c72ad434400ab7ff8752186ece157
 skey = 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 mlen = 528
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = c7e33fa5329142b668ccdde1057eb7a8619397537f2b4c6d6755b3b9ff936441
@@ -115,6 +131,7 @@ pkey = 4ffeb4b10e756a3db74968d17e5ff126584030a7c2d6bbdc2ae8cde4242dfeb09200297b3
 skey = 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 mlen = 561
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 7611b5b7d4195d5f8b97244b6811748efea929ea272e66435a36d0bd16e3bf21
@@ -122,6 +139,7 @@ pkey = 22ccf583bcf152eeb3fa5a738d87512c2f5ea67df073d9787539e75872df300fb7c58e114
 skey = 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 mlen = 594
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 6b60c4ad251bd0ffb3c663cd02adb3a490bc0237f617d6dca265c1eb577ec8ebe6c7e0d5e3f052fa0a6446677749fd59f9a784e9f87a750d5bd2ee3fb8c0eb9b63629b26cfccf6d7023df4a1087f14f489f746b382ee0e70e15e6a4b0eb35000dbc3e8278e36c9e46ab5c9d7f47cdd9e310748ce5f0eb967846691d2d1e64fbf03601b3bbbc03ca99ba06ea6acfd1367c2f974bd9a3cc2edc494af4bb3e0df6f4255a3f4f4cd41fa4e650d71e1ec8eb77eec66103b595d6119a3fd07ca63a9243024b2009b5b03f075865dc41871004511792b5e6c5b299d2171260c2a956b04e9e3288a90875893dae0d35610c24e8a1c637f95da62bf3669a751b2e41d7dad76f831d55aed6e996d5d3522ba9a528058254664f3dabb80a59735b2083df8f8fa87734fe48cff48bf21800749eef840ead3c8a055830b5ce12e3d089685f9f050ff416cc06e2001fd9695cd4067c11808596b98bbf3a727373e2e191bd2c4745b514759d316e6a729dbc2385eca4c32cb9e6147ec72b95e7791897a51182c707dc1c3ac23959dac83c058e2d8f067198fbb418beca0e6cffa7f871293927110aec4bc205d183150eaa45fe1f647af9e35c45183d0be83e86ec59fbd6ac4961eced485a18ec2b6d22b6a8b5e89eff7b25a92c7a1b7f4972cd26d9eb838ffad936c713e0e64260fdb9166ab63216f74da39c569edbb63c9680d720147b94137e31568a759d888ce1e3ccc190bfdca08eb706cbec652c8d1c9c2fb2021583df155c2f12eb8d644336e385893510af3c8b0195fda1e7f249fe69c43a842e9f47d262ac790282d319ca45a87964276aa68a726a245999ae33c58e0d7ca71f42fe3a80b35d7ca2dcaa8d5b31c12da54663dd8f8ab9278f1d972253058ab428d8f51f05107b3eb596dea5d176829688d40ba4339fd543aed143b70dc6b21c2f5351032203b29a0a027894e158ad1626abeb5905bb3ac1e37178bb19a8c0258e959fca72c1ea2142dee5671cde5c1a60955c67c048bfff5c1f04686791cf077778369e2ce9514c54932c321396b76a228a4231af73f8286cdbab1346cec88ec2ccbd3347768f1afea00bcbbd4e8019e772af1ef487d929fce8bdbd7d60bb10961e19a65f1afaf2c4ec4800352ca1f1f2e4432ec51b2370795f28cc798b96ce66a75642ebfb3901825a08a9c0e719bd05fc80f9d0a4513d35c9fc57e4eb648c8d540fada72cb14ce88236d2f1ea62c76f9702e643c74cddebcca1a58361399c456173337fa0d6b9732e6216955c2d3ff5fe7a98b7a1909e4cb5ab682aea150c5c0ecf0e20c32368fb232f5ed6d28e751b34fa92e8a84af83b6b746de4d11434cc78fbf55f4a5c119b4de4db57bf6bd6534bb8ac4a8fb3a1572eabc28a484dcf8c6cc572759c9ae9e5b97357ab7e2d28244930532033a1f19aaab7d68c85f3358e3521cc1f616f02fe7fd4fddcf922926af1f30e06a9711bdb821c08e5c825dee21f5403001a22cd0cd7350aa37cef445daee57430ee559e6b48d5dbb83e3df3cee1205893b1bdf3f1171add625c1a640cb88169cf55eae6f3fe870dd2fd11f5f789a7c3abfab73b8694c73790053620e4d65ea0e238eafd2a9ab89f6d38ab685face1752645aebc2104186f845ff413ef353eabc148f4ce1d1c1ecd70c5030646ed6db41df246295b533d070089840213862e7b51940bfc6eb6e7597bb3bb17c8234f5b918fd7e4c9aac1df8254d932737e6bb4cc852743acb4d75a88ba5b689fd5729e94c43dd68abccb5b8c74fc789f2cc32e55720a4da49bccfab0ee0bbe67344ffa35e09ae6fad7fa72e313eb3a88fb16f07b9466286d91e0b72617484df4b02e1a38c2c1e5587bbecc09549c989e868edd445ed8c66baadeb1399e2f0dc0b5e82fef10caa19d1117c348b687ce1d92ce6dda024cb7215b75433d6503d1a45a17d2dbeb63cf7778cc2169a0e526d6a6103a5ef1ecf6cea655fab965043c643a97d0ec06b22ed16d99f6ce69f20162d9c3cbe7ab34aad0e42231fadb9c349d3a4b06834205156d04336ef57b73000525dc8dbe825ba7d6ff61acd887d64596b7aaf0f39177a392ed8200b2641774ef8b6935bcad85eb1a94c29615ca42e8f24960c46b88a28ef24fafbe084b789dcdcc883e21a60a1ecdb8e37c4d1d5bae829285fd036d831d4bb7b984cb46cf294262d5ebab6f0caba8d08cbff512b138e86cf91e39946960b957dd8c63047fa9a73408fe8946de290ab0c57711912e7da502a89702ab1c119339f3175286573e368c5b78a0d6ebc7d8e7b32e759af87f2d8b127c9eca2827b8ae10344b91df16a67e85d3b3ad0e8d3231cdf9966a9ff9a5e2c1197a783de78b01fa75530ae8c9b258623acd77d0cfcf489cee8e1f275ed78a27e05be03792caa93b18464bed7a0d2c9f99e0349fbf7c3f99dbe3a427f3f758a17e4e98ff90fa72de390d0bb0def1dcf1d2afc7dbe7b5819992939991551f8e8946818c7b03beb30b42ea21fdd035823fd3c72cbd04ee229355c5b1b4f73fd70e0b7ca9f28230926d26f12b02a80b70aaa043362c1affd0608cab6f496d6066482be3b63ca6f0929010243342e37346a721b46163a9e5183e6c019d2c0c770b8961ee86fc2b6b3d2caf250f105116a38c91df7631d32203488a575da01dacacbedc2972309928e0bbdc410d59650062f3213017f815a21e5b4a9c3645d1dba5c0147ae3e433db94f6fd21f129e9137d740a062349090bf3445c481175370c26779e4574538ee3159801eea12fc7ea0cd6daec22bc28c8f7dfaa56b24ed1d78a68ea5056289a9b8c9af0bb1d9032242696f0b9d9afd846dfcaa907a0374f5d6b221e170a56dfbee7b774f1676aeae25ef0219fa038bfc2e66e408ea7ef6cea48bfe7ce10d019c46345eeea8d967eb323fb7a322fb30755c7f571215347c20daaed303f70d54dc855f7badc0e1279353e2f91f0e7306c36a8ecd5c8f057678c89cf59c6ee5c550f1b1013e9a2a2787d0032a73b84e525a772de2bd3022dfa0657cf67dace8bfcdceee1e7eaf49675efa9edd8d8b8bf4a6dc554fccdfdcae6ff4b997576945a3122482fe6c539923999de756be98c03a8803d6db6dfab758176b1533d6dd925e83d329367116313c42ecdb208edac49a5ec535448d8e961ae6f06054ac0967c9bce079859ed81257f2a29ead63883ffdebf16b2425a9962413e88eb37720fd939df56685e706574cf1adc891878c433225268ad3fa08d1c5dc9e5353a855b834d6080099c83e71d1223ba454081fc1b006fc716aa7dca9e72e89a4192c0c23343a6e77798aa5b9c4cfdce1e5fe1113373d474b4f85a3bbff1114151c2b5b646e8789939abee00722292e3c3e419aa9b7c800000000000000000000000000000000000000000000000000000000101b2934
 
 seed = 5a1e3e05c72cef1a73ef98840da035e4fd2552912db8dae28a79011de4bbc1a4
@@ -129,6 +147,7 @@ pkey = 6eadd24e3908fc3b2f1e4a2f42078cf3dd7bc3bef2f7f9c5ce17b78499177b14f91664edb
 skey = 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
 mlen = 627
 msg = 021e9c06a2e4ef63d1a61958620c40016783879080d44311e04f2a446bcaee5a486d17ff0f356ba70ff1c2b55bf957a59202903ae349878cb822e04275e0afaabc0803bb6cde3741e0bf9fce0c5d5c814977474533dc63f9ed4f32ac3477a3ec9893ef55186728c85b03f4c2e61ca7733e1706766aeb8fea80e233e8761b57fd5a3cef700196674b34a3a55f68b3368b688fb1ddc976ff48ba6a98e2d66023f291a3c617a56ccbdb8732b8c34369ed11f4ccea8fc8f673ad9fa0fd8990bef70af44c617fdfa096695d0c94ea8e17554f4461dc776db2f416448b17680fe4d29b09e57603d8ebf55771af84d8d4b9097302901c25cb6d73932e67c323d12c8acb0e74cb89755f7eb3999d4eab5e1b775e6b5c29d9733697030a26f3b93b3f286db0f2dbda71e1f103878063e77919d8892eb6a34f821b603ed4a898a9f30d00feef20985fef1a7b7af70dd29c269e88687f005d551ef05eb0603fd38745aed4f5bf4c2fc09f0604c98ae3a89e46bbfe907b87a1672de547d651f035f392a8d4db5e7260f43953028e312b95b9f25fff2c0c579218390411d13d9a25f22de4c7aa05fd11781db08977160d48e02372c7d826f5cac37d1a9b4230be99a2d13cc2e9b2b17f0a1044eb9e0a2fba376d35cdd2bc05f57dce4bbc3bf07a09bcde369929e6250efdc61689466b040aea376b09453a2c16813bbb685b54a225c49008ba6811e8bb5b3627f8c281244fdf5533216d126ed0e64fdabec533424bff77fe722cc438ca7587c19d965f0bf085d8692c27c5c84a9dee53256d978948d89abdf9842e0b765be6a507d8630cbc5ca7fa0fbca1cecc78d2e536aa7b2b902c4379777ac0920d69c57cc4e6032252bde99e1a555e80d4
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 8f3920a235eec3659cfcfe62931474204eae264959702f901d461b66d9bb563d
@@ -136,6 +155,7 @@ pkey = bd96432b299699d1976636c4a53c125405e981b06bfd65f7fe30c0ba5020edc60aa086376
 skey = 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 mlen = 660
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 0b2b3eb50681403a0b9a99b25041a489c6d45d2a49de0ec83e1fd10922abe2d5
@@ -143,6 +163,7 @@ pkey = add274fe95aca54843b5f2a8ea5c62a1f8cc2bea437253838b90b7c46e91d7109f1c95fcd
 skey = 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
 mlen = 693
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 8217d32cd15658d39cdca92c41b59f5780869a68838a3579dea48b5e3ea768aa
@@ -150,6 +171,7 @@ pkey = f9c94595e9c502e8f00890119b07a9f7046ead963b3244a16682936bd86305c1cee6ccca2
 skey = 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
 mlen = 726
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = cc625322c9d52898e7f60ae47bc2847e20f3722794de41e30fdb20ca1a093208
@@ -157,6 +179,7 @@ pkey = b281b65084622200047db5d4a53e840cfd986ee70325d3369140ea554aa95b05f7570eabb
 skey = 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
 mlen = 759
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 950226d6ab0b774c5f439afcfd0113b5dbf5905960c445f5e6e03e5d5c687a9a
@@ -164,6 +187,7 @@ pkey = 1de75477423f0979c52e68b9e055333ed3de68a8ae6b5df82807a6c411b9ca577f6c3b89a
 skey = 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
 mlen = 792
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 8632a72aabed9e85e45128ecd7ce77549f70ed78d57fe555ee4f4920f0c9f53aae2332fe701fa98ac6adfb2f7dc8f987fb2e15739c667192c35f915575866159171acf4d525cb8d2ab8968454d0cda826f051611fa8065d468ce0e03156b71dc259f126806d24006ded7d9567174da08a50ff26823e83633aa5e2f4385eafcbad92794473dc08133577b153739b1717961afc10a32e64dc88a7a723fea3720160e1fa7af00c7e262672242a082024c56c8d380c1a2ef7fdfee4ee2628cdfc4f87d5ea5acae8f26f1acf32143ae5b90cd7882cec5edd08a06a7a0839b7453567a1245f5212eaf5ecbe878b8416af608951326419584da579ce3369adad394aa256fe9bc562c33093b785ada9229d1c1cd75ba841d2b7632e6b72687bc0cb2403f0bfe67accf18603c8895479cd6ec5bd985ee316516f799c8c561f76cf873064721fff12a8df7381fc528f8adb3905d899d63b9d476085308ab4b5e12cd2ffe20f02d3fbd58a8a08b375975a818bd0ea319dbe757b37538d6207437e02ebb17ec3a628a921ce50bbe1c54fb6f609db13a06d7ac0031036426333b25e5540f1538a89b1d853a1f8359befad82efdc9ceee403e9fcb8d16352dade66bbbcb9ae40692c257ffe750693bd88fd83307f2ec74838aa03ac11c5d881f3531433c62ad01a7f981f89e5e77273ec3c51e9011219c691f43a81f19dc96eb5e4216f7a8cc95599c18d8315240521ff9cbba3daf3b61fa2974a31ac4fcab26dea026a0b81b3c5316d5859ee43f0ddb4c696e3ebe4f60171ca32805aeac89f5f1c32ad6a2f2776ca629ef338f712199c158b250dd2abeb9d7aafba460b869f4f8b3cb6254f94de9b164155014cefb04a2bc63290c54e4df8771e7f73406d3c9a3725d005db73903b9c2243af0326b068ff1f3c6bc9b33eb1ccb82c8fbdcee2932cc8d51fbe3cb34d168e83115df2627e93bfbfa23cb4efca011c240abe644449d7ea588dccc2d43bc4e9e89cace65e9b65f4b04eb8e6ec2800c2235f54f3be20aa3d40cb894b169be08705dd202d3415444cbb5d1ba904f150e7aa54ff7e96c361ee238be876979a95b39c755cee2d8b897e13ef9d0fbab5a91efe5ef456ff6d15b73f847fe7d836bebc509647baff883fb7bbd9d3c0498e98ffe858666cfac09339a7134956fa926d535460009fd3c381c891803f827d00eeadb7ee81cfccdefdd0e2f764e2fa62f94cb4107f7912410eaa0b69144ea07e006ed90f5ee4d5388d4a2e4e6f68444785ba6240bc226c98f622df8029ac0c7d4856f133aaa626a793404a639a74eea998244b9da5df5d53fe2242d6bf98642738665ee88b8553f08689a74361cac176a98c2a3ed36b9920e04f4d46397dc568fe4444e69ade63d5e3e1cdd63398bd91a441597103017545d435d01b43e7317d9a46c340b0c4ab6c9866a5ab63c18ce4c9a9283c56c17f2e358fbd9d12c230bb0ad0d3f43116d5c42c150a67e575b65649a67b6f24ece859e105dfe88273e4866459333ae976f4127d8a53083ab743c4300bcbc7b55f9ae8058cb17ecbf36021f0e4e45961699a85ca18a6f74f7dabf4b3600dd31b94bdc69650c3d4cc182330cddc3ca18f0e9de23af2909b13649a36e0fc2cf9ae028edf4ba0e1baaac6499b739560f5b716877dfbb0dead1f8f17aa9ea652d2c379b1cc9947b11ba27f38b09441b421785e335f98bc63547e1077274aff66f4e828c9c00643cab076616a4708f4c622090683d77768c2cfe67e8e1c4c680b16093095af4632955be5b94f9492b77e0f4c20bcac48b4d21f6e93669409fd9d3317de81a26cca3499abecac463e115ce9064f08a5a20361dfe6723df360e7e2aa865f047509ec8c48c1a755c6b7daf5ac45744e1f40319e06dcb35be66fca639f55466f687d69d01574f7ba9cfbc22d1559f17b37a571056d267f5a35ca6c7b2a2e76dcc148280ea17081f1aa3db950f642f8a691372f14694b5de7c7003c5c7ef9aa79e69d33817ed8652cf15c6ca7ea544a8fe47b549f0bceaebf5ff7265f1d88bc4d73f4c39bd7eb4745909d2b92c3cfe7f9b3850929a909028ff07c18c9a4d0c132d885fd92f66c81a83e50d513faeb1c726e800ff6f782d5e055cea35010b9099340badec2118273254a670d90cf530d4e93e4dc9b06acfa76ef1a1234ebb02e107d0f337fd7b6a7e971737dbc273ad43443a68a0539ddb5a0a95f36a3964971dd166852f1ea5f93157dfd419bed6ff410d5c56fea8ae4a56500e978470311981defe8f4de575dd66e7d1e249dac4bb4cc39c664ecfd553e7ecb9e0af5ca1cc1a704d541a0d882806478e1f72aba88ca4b79284a30b0b60ac630a85354c4d8961c7072f1e1e13c47485dd6ef43b449292570b1763f2a3eb8ec3ae6b24f7c75f62f3ea200adf2af34890a9c7eaaf6d24d94fb0cb6b2abbeb077b51ef0db8d22e31b174cd36685ff205718cb712aad8c209979121dc2040360ea3120af0c64fe2c40494e96d9e9b44944f8e2fb00cfcd2a58370173f22fae88c1595a1f52bafcbeca625498bcf3ad9bc5adc1e7c0acfa4a292fda501427fc46f09224e8a10b5b2f6bbbdfe5c16d322fdd86f7ac5cb68a14aa73924efb69ce5649e938401b49accb3562420cea46149983409327c984d34a40c050f075ea0761e876fe1aa8f1e899218474b3809e6e478255fd97d3a3394848a5a146bad1da54e477dae0f8be35b2cecef0e732ed8f0faf807840caed899125d2a522865a3535a918819b5f8b18aa8201dc80c9f1ee08911fb33b26074eabdfd753178ab20b445abc51d73556fa10dfad4c3d17875b0f19fef5027a3318481d1837d5ef9290f0aeabfdfc044cd36e92d2f3e6f172a87b46c0a07c683fd977534ed67a9c950ec9fe53cf61d3cd465af2304d4b53df92836860a202ab7d167aaf0ab4dc0c944a2802463b9f49d55a0c3002073adbe111ea9fef4d11b067280f4376ee363456cc700a1e3beccc5051d63d9d81556fdeeb6c2c887110c76ee545ac224b1e07c9038bffc615a9e846f52c015a5e1b4b398cda17473d9ffe567a0f938f4bf6af90e0119c7cfd8588aeeb36fc9f73731395de22a2fedae64bb2109ca8129ad43efc5294f58f396b4a9ce3170ed5f61c8fff04632c611cccb4da659574267c0b99ad20a498c028c3a55928bc898c72addca6d7b148a89e2540c8b56832ab2388cc41586c0fbecd13474f6b267a15c4c56637e9c32c83323e9090d0b268722352aa1a69a387bf061947dcb1e96aaedcc7344adc6ba93523ff7608ab0a2309312a07fce10cf1a264d5558609cb5b6b8c9dcdee4e5eafe08171d366267697076818592b5c7e0e4effe1113252e3037455d5f647d7f8098c3cadde4eceef10a344c5963686cb6e8f6fb0000000000000000000000000011233843
 
 seed = a6b534767a6d839fd19075ae0ba10147c46862bf7bbcbe83f2b72f72f1368a1f
@@ -171,6 +195,7 @@ pkey = 26b7c30fceb4ef5d71d0d127f063404285744cbfad52a8a7c5029dd57a45ce599b648ba01
 skey = 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
 mlen = 825
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 103164ed522df0db131c15e139c0f83d9b1b7a1b6ecf7f89a5248cad7e68de8c
@@ -178,6 +203,7 @@ pkey = 8f70fd6b69122d1da58fbb275f70d9eeab795e002d2889468869e5c51acb94eeb8f625392
 skey = 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 mlen = 858
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = bc962d978f38881085c1b813bc90eee44ad9e7651681c20ba46402f557c454de
@@ -185,6 +211,7 @@ pkey = afe9d17976da571a2e0928897764c4582fa9eff50bda236e80d001763cd533d6f56eb1203
 skey = 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 mlen = 891
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = c3de54854a4060ea09ed92a363f71c7863eba64195e9ac79e7ad7eb6a183cfac
@@ -192,6 +219,7 @@ pkey = 1b36ca8231cb612f0fe9a60248cb6e8049ba7f61c74bc80f3c0c3a5a8e058fa2a3b254a8c
 skey = 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 mlen = 924
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 828b9804524bdd17d0eb387368b01b0e95b4960057ed63fc2289d858201e207e
@@ -199,6 +227,7 @@ pkey = fb9ab3c9ae742149675958fd0899d48d845b290291bb507c5fd42fb9e523146bbd479ffac
 skey = 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
 mlen = 957
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 4a84ca5c3954faafa11ae87fcbe701ebb5afbcc5f8ecae7786d10821e01ada5a
@@ -206,6 +235,7 @@ pkey = 1c0d14f1c1e76b9bf996bf60622d3c663d073722e85564917387882c2303b4522c3e790f4
 skey = 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 mlen = 990
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 3e74ae2b1d49ee6f149076f0bae2d26a5cadfd5de7bef66dfcae6b588a1f4067
@@ -213,6 +243,7 @@ pkey = 5c7ce327b828bc8d4b53a66d21e316f607d9c8e437f3d38ab2875a4d4170ee005864bf4cb
 skey = 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
 mlen = 1023
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 39550bd2782d66fa95380f5f101d827377b11410f8bf3bccfbe0e504fc09ae38
@@ -220,6 +251,7 @@ pkey = 20872f64e1fe69773d60fddcc67f2d9deeed8289ce17907abbdac36204805e069a61ca7ec
 skey = 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 mlen = 1056
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = b18f0fdf9dc4f514107f88cc43fb29190608ebc5a2cd00b49fe20631761038df
@@ -227,6 +259,7 @@ pkey = d6f7ae243ec019b388bc9107a4faf40c66a8529a3ebd79e9bf4118ccc9a3f92c29f22bfee
 skey = d6f7ae243ec019b388bc9107a4faf40c66a8529a3ebd79e9bf4118ccc9a3f92c893e750e0fc5358c143b68de7e501e099addbeec619d3b3c2eba63bf1ddd49857bd6b951a468b899418fb39afa65ab53543a4cced9eba6ef745f201ecb759191a863a827ccde50fab6db9aee612abb89a8b343653042f19c42dafa522e9195321184295410695ac84904368e51464512a52408b3815448120913090c128c1a8425533844541292c8b44511444812b92413446150080413c2802114450ca650a3b2119b906d81946c1488708b3652082188030812203285c30044c0b430d1180604939002252a09a88451b02810242c241751201628c4b41022a328c8000d232628d3164950b289a1040e19120924a569d9044a0b89441a2924e2a4094c980512198583c444c4008858046aa19828d1384c423026480485d13868d80464a3c251138250a4b82ddc46601a08720c376dd092051902814000218a0424c916114a8609e13466433204d9b251a2142c8c020a1c144c802864903271c046408ba84108136889c4608186619926900b45601010211308020aa3504c963002866c40448460369249362c609890819889cb122d89845119224a01912c5a380a0c8640d83452c216459c24710c128a13368c92166e9a38400335881c12290ab06823a12443c6808cc40120402aa3a86982c245991604d4a6489ab2248c362cdb422922a6800a237258240cd9a08540462c58a840a3c231a31200839604038020d200458930020b9009612432d8b22c13c64c1cb781d2329020b170daa67113166e8b106e0888842349455b3488991020e3348e01c6210ba66dcb22698c886504b96182b484d1144ec4188601c18923932520160813480809126620414a13140883105223386408976d180968a3a68002a24d04888ce3024cc12425db08515802821123910007469a88110b272200044000c6448cc47090206ec0367204159150242ecb36400a176c53a66842006c19452852360e40c0402241891b072c9c16829ca82010839151c02cd2148e540811c23882cb886c20b12180204242407214118218b80d53486a02a26d4914520b1645ca42290bb34ccb364ea3926dc1284924086a2440020827700c314c19365122b331d3464e9016109ab28c10354854b608242761d23648c3869193802948164da386299c26825a9041e0c42c5414004434508b320e42003158364000478de2128044464899b60909138cc0128d1a4988404069c90226b2f8198a875a701f162c6b8d15847a594fe02da81cbee6b43ea0f247751aa6de2068c8272a7d8ce605d60af5d3af56f27ea9c2d5a5a7357682f292216049130fcc179f26ff57abc7652b55e0f972cab1eeb61bd20ce19141f613016d1ba42bbda10fbd1558a4ea1c5571267a2a83a12dd98faa9d8eea1453f65bc25fcc062128df9fbe2405effe07155e536d3d8c76a67712094d06f916b6f8be2912ab3dfe5ed5fae18628392fa29ad0de9ab3cf0254f8590d22ab04f68b69cd75d7ffd2ae79a2ac700c28a7ea58a470bd56c4c05fdf6fd6be817c3aa8dc634c284e9dcab174c20dbdd1a0ddc3ed9a693d2e9c1455a74fda095714b50086a67eae288944f5b1a50821be0d74d9120e89e56e6d44d0315a1d023f56bf60dd5a433d970506d31127bbe561241a9f0137121e2858c0173471653b38b11bb62491274457dfce362058ffb1095a20b89c0970ed7988cf020c1d1fa42130666063c613566aa29f9bf31ac549f1b652beea2f45dd7775305623c00f965ea1e7d19ab15bb03db040e9bce7b0d49cf9342f80ea0ae75815d89a9fa3502b28cc308510f23ef2add5a8c75b03d5b9b5a6c0b168ef2328d8c80ce83266bac1c73e70aaaf88c2bc3d75d8608eba2a3567d0e16315f02994e6cb769b5f4ae94204e7c5c2616cf4d1942bd89ac79cd385ebd6bdc5d088dc137e55d906c126ddeaf5cfed640fe602a05d6e9d77f21285f059ae111b35ee44e491532ef7fa333c95777f2c49e48e8cdfac859c25b00da6df29fda00bc5ef6296971217e7f480ebbbca1cdd5134b71af5ffdacf7eb21155a7b2bd68a307aae2f7b964f0054ae5e3f4c167927a65e537763bdc48da159c142cd9891a981ea96224e78905ce3676ccff74ecdda24ae5aa8ee25d3c46c3744a60c05de9b6c710bb85c1cb0951af55fea9769f0023a6bfeaab421e797f301e9d42b50a7efb71060fac154d6c6180733541b6e8a935d9c48d589d6a0695cebd5331f4452ec0a34b1fa323bac722c314db082c21fa524fa1a19ddfc4b53705eecd668959d2e0bd8f914e70e5429f316abc9fa29022096e9bb6bac55cc06ebf890ec191dbf9acca4df56931e51fd42c65c1e132a6d0301573ac385a838407e0a5f9a5daaf0c5ded1e2e0488ace918f3e8205c4d5ec69e0c092ee21e8cb73a57b95f7cd241763ebd3d4307923d0e29c5e377972a1e98c8ccbe660ee21ed42bdde242007671e4b7421771be3bf41b726dc1bb0deeec69d5987cf707ebc4745f121d9afdf690058dea45d6ed227d9abe4be4d0eaa6c66898af171c09222e7d854ba724d2f09b0c29b64716be02f0206414468950f83713d3142a33f4df48e449dc66ff1f54f1d5b45bc82319921c887e4b79e0d3e7197563346971b9d886740d2bc66af93ad01eccbaf3ae2b4733e07d799383c26865f7e47338af7f18b8c4de4b0ba47ac0ca2e41512a17b07b1c847804ddcb2d2260651b405a84745000926ff1fc17149cedd9b51f087f68dd551c0d296edf62d1e0edfe001383db0326fe7f3507879d384f6cda03353c623c6e427d86f1e84b16180a9b4cdb512f771ec3434de54c398567302cf1f380b068f7a6e171f2aaae3df74c61e86ed7559510ac9f8c0f88bd52af5672fc75db145cdfc0384f4a90284397ad81f5cfd8d9b82de931760ba2fd26504120e97cd723413fa6ede327ee69e8fa8516dda6d0e34ac59ffa3da613be53852b85aedd110f43dc1926b719511e7c7dc689acf0a5990a2e4f7ac427c4d805add736edf70a5d3ac38326381f885ae1db6e91bf795e1da5027bcc26f819a3676481704a0e7c2122e250db76c9b3b59e6e9176ec6cf503ae7fd719629e4124b1807286bde656f9412e94a7505874f57e642e6287b9c97ea0b010b5dc3d89dbb0c7aa0e7ec73d5c004ce3af0320ab8295d2cdbb1c0e5d28fc35b6a6225630bd8acd5414c7718bdd7dfa6101b860d08850f96f40e23eee9eee3df9516d57b900fc565f327b4507da0ea55f445724c34d21188582b8d420178a6d4641afede5fb4455ea3602a7d97d79109ca7745ecd094ef20305e5a42762698fbfc3c7351710e6693684bc7dae8059d6752a7bd60dbc09ff3b94fbf40ab3f112d8a1be56bbf14e72b28497f839ff9ad74dfde420fca6ec2923a83da6ee8ba317235f66351626b030ba1e883594256b0aec5301ec223db2e2024cce680b6241e0c20d25cc403480046a179aba47b86c8d5aa5a91a7b61607ae731cd97779a70e224c5220079d2ba5e494224a86750decedc6a86d793451c7c239d53e342b2392bc918301c8c7dd503304b72951987f3c671455429de7c7e1f8457ff1539bb50b9f512d4
 mlen = 1089
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = d4fa14da39548392300a41be413ebd53bd7bcbd045b4d3c8ca44abc9599e269d
@@ -234,6 +267,7 @@ pkey = 92926a6068f3f91e4a88143d04a9ed72b23292b7672b4fade24fbbcb09f9b4f9ac4fa2b95
 skey = 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 mlen = 1122
 msg = 789518ee21dc99cac94dd5298b2f3eb8f6ab8d0705d24d9aa3012f217464e7f203e08e5cea9e44f54a6f73e88d81592826e243b7f0b2a1b3a06e5afde23a2985183a0e430e01c3fa90e9f1db7e69dd8e7dc6fb802933e04a18834c091ecd46f0dd423f532668cee8a12a06bbc7e5ff3b9488b8f4a87a92bb8d6f313269ad95c574245e06563bb58bff6169b8f4c333033bc128b91cb81dd41b831df5103b295f744ede95fc3a0c72f1134a9321836afcfd563192c343040b943f69c0e98e8d740c06ccf840cbfc6bf777c9561065916f13d116d758a151e8ff4c355363aae8e4f49d2a2e062a2bb213aff25662d95549b4b025e70aa3363b50d25af84a3e5b0ffa598ce074733ad191c86c351592299c26c0a4933573ef436b73dfd0c4eacf93d361afe5f824b91bc178ee8381b9efd52302ab8cad6c08c7e090393b9b8abc78af374fac6e60bd104baaba524e68d75a759b94176105a9cff2e5b9c3984ff61c5afbf22b8e1b9e4f9bdffec0b19c2a5c8db3b8b2c02115d101805c1bd6652f738f02600e38998ca41ba8955094fad5bdc34133d4b523ede66cf483f1cd5acd9efaa69703807410939974d6dc033bc696541357da9881a4fd1385671b6e4bb889c68b544175c1e2ec1395dff4cc87e037087c615caf40804d5f44a2de301961a59818173730a45cf4c2df172614aff7199a40c9ffb9957242a89ff86b36a4f4d60f15db569c2fefaf677b35fe5f12ad5a323397714286e338ff6b9080fca50b657db477a52a93b243bf28ce2743794c361f443ad81ebaaeab2b237ebbc572d8586c3eab1f42baec1c985d28bc58b296a11d96a04b0e1f7f6790b92e450248804f3f62b5865941bfd444a910f31e1d6b79d8906e7e9828618f960ec14124fbeed28e1f58a8bc9d31773442fedc5a220f3912d0b41267d427c0c15bb76f9200c54b5f050307e13f1eb3de92b864c994a3df4cebd1bca634710fa342e23d7c8a5bac1b58aa321e215e4418428206f05232e2bcd1b5ee1bb7e34e7d4c93088991ee9dd643fd08b0185a2f0aeffb0ef0eea3acb4ce234bd5479a4f4296001305826f23083cc9dc99011864f250e77e42a0de26ab09ff6e3f32552f6f913256729b357cbf5dfc825e91bb5d3fac1f729803d431d339955960ead69b1e54536cfd774341cdfde1d1f527da4e738b2e292bdc884687d1016dc193edf34a37d284d026d33698295e864196e0bf16fa83a35f65ff2b38b7030e9e63eaaf594f272e07941313d538546bc84671739af822391ca4dbe6a579a81f45ff51fa5b7ef49beee7beba4ae07452c13366668f02752923ea3653043b26c883799fe6352f95144283d946ca87143b74c8a009c024d073baab9bc4da6c87d35fffd753e1eec7f01944639e566fe17a6f715f4197d1cba58d3d153bda37d7d2d5e19620ff0842527d109333fa2ba8bfc491689f4551bee6c9d13bb9e69ee4f44b782bb05d1e48d293bc15b9fc706d52b021c7159ff7df80e55627dd7555795f1fc616830a4ba2c02fe1a19dabe088e460bf3c5a88313c443179c593458467faa468791ca74e9b1e759847b6939f
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = c796fd12d1feb1df46b162c38292684c09059e4463cb95dbdbf498a4dd4f7f00
@@ -241,6 +275,7 @@ pkey = 417ebf9322eaca73903d9a2ac8056737efb18c9117b52b61a13e2fdb89f7cdf9b1be40fba
 skey = 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
 mlen = 1155
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = a18a366a5ecacae4732dc9e954333ead153203013bac4e3c50bee15269f983fb
@@ -248,6 +283,7 @@ pkey = b642c23a6466cd8b2a6511566cb9944edb585b1bb16e881c927a38424a91ec0f0520f1bff
 skey = 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 mlen = 1188
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 585e714d565aa66078bc2b12699f1e86c6ff30a1abc8cbd19563bcddd2f1f6d2
@@ -255,6 +291,7 @@ pkey = 0c6244ca381e425421508b85b47f9bbdbb10e1f0172c28409ea566204c3151ecda61accf8
 skey = 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 mlen = 1221
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 662cf70d3d5e95a9c6a33bd7c6abf0e8cd23ab2d2d9420878c4835de14a6c606
@@ -262,6 +299,7 @@ pkey = ab98c860699692bc2a6a80e24d455a4039d24b98f8ef218b8ba6b72258611668ff55cf713
 skey = 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 mlen = 1254
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 1924a71628292aa3d2d34ea72e2bfc2520864205f54ec6f19f7714733aa34cc9
@@ -269,6 +307,7 @@ pkey = 7adcea32c084747dd4e22e14966ccd766d2ff932a985f2ae5a8725ab71a925f2ba70866f4
 skey = 7adcea32c084747dd4e22e14966ccd766d2ff932a985f2ae5a8725ab71a925f275cf85a56315cb1678afbf3b0bf5e67edf158ed97c87d3d1081e9e41c485735131a3156cceb1dcc6feb3f31a8616754ffb42643da7cabc69df7687801dbf9b84c38820993ab624dd258bc122e061b2222f8ba5b895b421cb98474abd75f7feabc142029044522199459bb86900316c88b64824318ec486895040451b364cd2360201b42c5b06661c930913264d042770ca064e141785c0282c1a284049800403a20042444c0809604028521b358258062d8c48908946900a960ca4a8891149891a262d4bb08d09996908042943b6851b100903b4519b340a02b4110bb64098a82820c32019930da33092d3308411362c8a300252c6649198410c04201219102116040c016904c18899840c00a16c8a224dc13831441042cb885040460909490a81188ccaa8019c864463b2480cb1600ab84519244084c6295340709ac0251c420548206d619688c2a069c3462a10399184440d52484419b30d241789e138205112014812308ca69194b04103972961024d0ba26d9c208589422288b00124c3900bc58d099989882264408205e4806d2100860806045c36881ba630d2940c4ab48c0a29808b8608449040633666db102a11076dd4486090024e0c1209d2242e00c2110b202262063018872124212e0437322408668994109b3650e3445048048ecb224612262613412859806803355210052640c82c0a196d4a144c12c965ca028a6138854c1442084626144846c8444811398a2127312231821230204126291ac10413b9445a484221b824a4902588108c822631d1a27093c450db106dd1c0415836065926621aa9509a046110396a142921cc086ea18691a2466004c400138308099029213028913069240406d4c4701416216324505838291ba041e2028de4906582081192844819320c248549e0a28d1230619b126913262c84482952b4680a22688326481c056ae2349221198409262613066122260e61884540b4308c22801a427250467014198523c164139031111480029068e11612db326d0ca36952325151481248c408649465c9360914c72462366210407052444da3288cd414801ab86c1a4089e2346009a10843266d9c846418096020216451482dd0100213872559304e0b410d213070d388855b384619a349129590412806641821011480a1c2891c332c8444514bc090ca2486090950d08265401030cc8211088165e40832e2a702f7ca461ad99e54f130c40111c8d1d269a3d71fafc4c66d3cbbc0a668a0aa076d87a158bcac885eed16d6e53584eaccf6f2c7d3521ddb0e1369f74aa8a6c5de1de04beaecdd126b5d3d7be1fe830016c91ec6da1603d6aeaee0059468e5c2b274e76147f1b029b5d78e0601767640229a2a1c8d3ff8ecbe8348701307cbf886986eb7e19a94c23c2a3bcd73cf93575653c0255b069322f957d6adf6be5f55f34249fc05c908426e044a73d406b975d1eb0c068c186951e53865962d8bd471ac9c7d7120fb33965d4288cb1980ad72b66ca3e092241dd828d5605f84e288dee3f15b3f2d10e9d68a14ea1bb6921712bad99c1d53e72df6779e6d76da9a513e7eaac14de1ed625e2bc85e81e7435d2be691a597fa787e52e52899bc116c8a31da953bb071146b925b7622c9a90113453ab928463bb05ea971c97ccce893876e2cb9a27ece3ec3faf721048893f0af5e5176c25ad19b6fc842417c49936ebef812ff4fa15c8a87160650a21b6a5c58731c7fd92a28b15e3a7886d2fa888f2b161dba40385f0700a0988bb85fdbd45238dbba577717078e5f19f688d76abd636a30566376b36983764ca120d95b510afa1f210cbb153d64580b5c9265c75b2ed34b54138f5dec3409bedb2cfce3ca31b30be70297bff66079e6abb86499573264f0c2062a93136cf691f663c35f96d28957230a810bbad3691f7b22c7404a0a413c42d79c85e6b53d1a33cb42fc084333c06d3fec8d42018ae2f7b55f21f93650865713c71afc2e3ff18dd68514fe621f5b8ca93221ba7b51007cda3bdefbe000419b3cfa0af6415856b1ba7dfdb1e47827567d1498ae9badfdf72cd35ea2ae0810bb749ec51bb2211072aed0084e439dc2b4b564e3ff1a035a91e6b1d97d0b326b3e22cf20f01d6a846af43543d1b2aeaba3ff1c4ef9fb5bdf4e48d552d52ae9b77e44f367bc1e74d28f263c8f1cc5c590478c093a041195808c6cd6d193cfcac92e772c83e31e2d9e610d3ab010a81f9f7cff5fab58b5b34fea5b0acee841619279a6af807646241d4a582b01f8e0465c6729fb3c4cb5ee7c8f3581649138c00f2bbc5d05fb9418938394c07171cca022461e97bf1be660b2fefefbbfbec4bab1f412d849b65d357e298a8318aa0240beb10761bec16b42d1d65035fac155270a21ec1746f6ac33831d6ac1800d0d2c50fb2ed7c273a1a1d3be6881fbed4da35fc0550fa2aaa65752d9d672869f9ac810fbd652ea0b6ec22a08152b8053cae96d1ebb3204bed80ccbed979a6b2fa4e8ce30fdb45917929b7ade046bfa0e482929cef574584ca438fa39be99484dd14f58d44c0660370c1cbf4f99e10683955534ff6dff7e80130858970f9ab02fd01944d0753a114a87e9fecf7ff3a71a7b1a3f6ce5c37076ca07c684d206479b9ae6a9ed0827576ad91eb10e74c441d70562a632d82ee41ed69be020b26b77c3fa5aec9529deb8a511c8c91e3562cada1b2dfc6ca39b9f7a5e67bc1adb2520e30cbd691c50c358e3ac1fc589f7295c08a7e596b0eaf1b240279e2f91700915639e1e67e291b2ae3aa387830b03c4b653e53181b4ee3f63b332f419f81d415a043d4053141f087ad5d7e5a56733625d19cffebafb451d61557b9b5f03ab7813d4c6856a0e2c1091b219cc8c726803e1523930e054331aad0bcbc085b9911b93f5d25bcbef31b51c8b4b52d12ab4d82c2b029b5a8ce767274960a7d503d9ce341c24104401f564b62a86d2f967d08ecdbbd60552c48b1e4cec0a15eb130675a17e87333d864984d93a62e85976f1d28132886fce416776c15bbb54d20ac0991ce3e04eb588ee98ce8bdcaa5fc88e88bd45e5136f5d31e2c9fc57a487879f81323311a2dce49189b9e06930a79ac067be6d147fbb1646b760644d3797f200008a176a225a9c59c6249ff60dc9cb170a980376b5c993403cc523017acf1e216a5785e5c4a7fbb0f0c263cb733a79662b808f8d26bea8a74ab9107ce0f85ab360398d1715a644c30f479ddb6a43a0df7258f28ce9d4478460caaed93124f668e0953cb1dd84f8dc2002b2b42f95fb7ea1893c714b8ac8545d24bec059d5a56904eb4d1adafad03f26b1ad1cb35fb365e1c9f50239650b3fdfe921a3bd737c5cabd169a3fd79b51c718c268017827ae685d53bd082aa345d17e79d4a8e8ae6d94995674fdc4d32f5cb5b735951129e050fbe594b11e896f20ce9a788bd546dacc3c91fab6658fe262cda1e9161585e53a032ba715eb7c7033111ce2451d8eeec84a4d0bacfb6fe88a1d5cca1580128016c8b320c00ae9348c4a8444d448ff260c54ee97761fb3816a82b06abe0a13fa68068d705
 mlen = 1287
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 46e7e8abcddb00a3bb9742e7074703d4a20caa92fa9fb870498ac712df413c1bde0ac7e3f90c95fcb7c51bcb16a17356e084ce021e9fd05da7dba199abf28da2d41b1bb91179445b35baaf08c76a54e64b8100e784313d8ae73654dd3e3de5a622bbf18d3695255b14411921893c604f73c3e021aaa0ea8544a98c133927391148f4c56291828c13cb3be8f83112a8d3db1c98cd43f1e18e50cdb262a765f203136a884c2bda012b449119c80b4895f778c06999fed35698dc8cf496640f97daa8fabb925ebda19f03f373042f0fee1e495891683cbf31d3869aff921898cf6b327c4f223f07027e8c0f222e364fb91b057bdb1656bb8581d1b3d96e973ad68017e925c6aa8b5b9b83a339c215026d8c2b17a9bd0e4b529e8e842fd26b83884ffcef02b0551485285aa056a1ffc701c18650742c83ec41ab33ae811f5426d90f6e95f617c945490c180ecd29fc135af587bf92fb8d043ba59a08c8e08b94ee785eb392e581f21fb7421c304ee7a7f8da4b96dfdd573f81951c10ed2654a0538397fd9a09f2a7df1fa05c6a1debe4e1d7f0dbd7335dbad68f71c008b00e76b5305697823bc566ad87862519185ec21dfd3ae2b4bf631206453849145a0e5c903b38beedd3babf7761a682d3c2d1d941346ebffe5ba69377b79a810be41bfed555f164ea673c4960fd9265da3502a8037fb265e9d5e528e5fe42fd09f685b3a0ec8b551aca6033bc42e11b5504dafc2a9a01d4897ce578dd36e887832011175039b127676b8e6e1e6222407f4caa45f5ede8abe0308fa38c10f8558fa53fe6637db60bb739e7cd5ad44acb32cc9f9a526118468354cd1352b3fa7e97ac009c10a2b167847c7293bb8e897bc6f23c275efe0d78fb4c5f05b7652594aa165a1670b348d3f06d3f71d7de88a13bbada087ea7988323a6ec49dc9147f040a9a91f08d5cdbbab679c420f99032a3bfce4b0b1e8ffd58488fa920e10651a7bdf37e4305846aaee9710bbae1cd820fa4ebb9f1c8588aa0735c2f295fc81c3f599c024723ccc2cc9c854ecace81fddd9189b5ee476d57eebf05179250d2e1d76d2f05a8bcf0c74989d0640071fb44e0d17cce1833a518b19d5053111ae020cdc80d85b9285a9a69a28fc6bc674cf9dca46491c198560a0d72d225ce3e703f4e0f3b80f69d3d62811ce22b80a6d124dcaf9e5d8a4cb1f7182e734524f7cb72c6ae33efa6e30a86d13d5b396470bff4b46b927570fe68a88c24428d53e5136c93948bc6cf150ba0428457e9ada7eef0163bab5d45a9f995d49a4be99244b0c3c2e53aa63da3bb97cf86e2be1a035cbfeafe3e9dfb251bacd93f5661559d78842bb7eeebeb19a71ad0db787be05fa366c1da097737807276b410d4dca7a8fab03ee9375629fefd571ae9f8ea5a08afa4c2277f964c8c366d919c6aca886b9b087e6631f58907efec254ff36718c5177f27967d6a132e95b61d9a8bf1d7287ec714b8ccbbd2666e9969d64afd68b4a35085b6b8a4039c7bfb1b728367a36e4395649c3d5e88d6b6c2a340c877048715e620446998e245445bdf37def9d97b3fb0ab8f05c79857bfb51235020f8e69092654e2e28fe68a857fdcc8b555a1d791e6c053824d04df15b799d1c7d056e496ca26e1275648986de052170139dc470708182793e769b7a7bf80b0820c981c5d4c57616e8a07bd367e603ad28687cd4f4216c5a5ca7b2fcfe69f06446ab31f0498f8dfd8a452e13e067d727f40b5dd1f1fd0aba474f849ac0cd24e1a366c017df056fc88899edce629969557283a78df2836757ec3434cc92e35c5d9e9197e57b499a9c9ccef4bea2ad80f9da6c4c3c7653dd398cb9adabe1df9edd936b114788b02c7805972cb79a99353f3d873dd23db93a660838c39cf41f2c0a5e5f25190f1cb1df36cb3c462511e841e9289a587b19643c7289b7db6a087f5462c516cb1e0ee315a3a37a61d0ba6a13c852b38971de6fc859a97fd6faaf5f571d1f33432b8679e1d3a537526be713e90adc1d07e4e1c4b71b0734a4b685e1021702ee08c9f6f76e98ab0ab0714627db800c05968c535ca480ddf3182c5d1c60432116dee8f794b8cc5e94b32c769d1fe07da0dbbb250629a907e63fbf257afc233084202a6726257a09db075d549415c4333ace2f75e519fa32bca13e0ad3fc0fe1cd244df75aac9671b5318a89afd8cd6730023ec4d744359e4cabd35a29752e6f7f8db4a9566b37a7e704ff1c7706d2cd41ff6a028a506f1fd0f5201f1f48b648c8c977f6893b10867f3419b839d26b1a5d962b99141bed246603906af28cf1197157b6b83b1b6164e1bbab88beaebaa4393300e26ea070c7c1444e401fd624fef2638404217b0aec879656c139e0817dd3a34957f59ca4863f289105056c746dbe5422e5e49880445f95d0e1dd61a25477daf97d48b802f8408c7031fcfb2cb0e0b7f77070bebc16242bc8f5a6d6bdb45ab52edfb4e5e0588f4e2a75b5a8b580aacfc393e391a1538f6718f489bcaf35617f9a9e683f045a6ff12a65806a6f7b833ea6d7bd3abf5957e8af250af91dad175a5b8cd64b363dd6731c7a4da34544d7508c7a76b457fa7796d3e9f9968bb75937ab8210b1ff895b3a27145308fcb6ffece765c549a249c0dd93c4733e7d87efb491bcb284d1239ac573dbc3aa849d0d7fd5256f0fa2b0d44a059ee989c1b9c3f2685d815346ec2ab760810f96007c78e4f4e1a6b731101fba41c3e8774c616eba7908a438fde47cfb58f915ee40c0a9ba0b06220d593ae4c204abc27db22977a3db20673cc19221d285424648da56192c1375be8f373595ef957c841b1b1121978513fcab976877caee13215c2eb1fca7d4c6952abfcebb10215b26f2041e8c803d15d91159f79a05ba2a69d0559687f0391e4ac9d604273b714af4786ac2b5b0befc79b47d7ea9944b0df1c80a389bfeafd128226cac3d0039b2a71fc12f1e6bb55399c027d784e51908bad042671809338927aa7adb43472cad3c66b9ba3eee2d560fd89d983071de379b75c68d359254c76edf2d44612ca4dc9687597e1c050bf811ead26890e3e4331eb8f261b51e49274e07a0dd64f1d55e976b2bf65db9d2f81891c6c7f762ff2643c26594db657ee0ad507d5f8d078b14688e4709cc1f11140bd2f7e3df187db0024e758c4a5f01d51fad49b87f4e07338025e0406593f58c894578ae29984ecdc23ea5eefc54b596e6fa2d9003475bae1bbe33aa6b51670500f7a898d90f916fbaa68f541a99fa847b94eaa753040494b525c56016b0ba811891980de1dd141f355f86a0a7c0c4d0d8010a0d10111e273234383f4d5d666f7e8199a1adbbccd8dbdee7e9f703191b21232645607b8f95989eb4bccff20d0f13141f20314143464b676a718591989ceb00000000000b27384b
 
 seed = ef7ba21809ae7e0bc3230b6061c5fee206d805572cf1345198e1ef22a8fe7322
@@ -276,6 +315,7 @@ pkey = 33075b839a2c1e78a91a0dfbc761719c0260f609cfa5ed6c1735327f4d868d2669df6ad53
 skey = 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 mlen = 1320
 msg = 061934748c6758ecdeddf3a2df78574a470621496ce3f12e5e4555febccc1a46a772fcbadeba8b2eb5231b5b15deda5a38076c737e5d091a8ca8482f84ec4a20a51ddda391088f2c3926f8e1d8b77dd0abd606e9ac25a17a86a5c75adc215c5030355c4a1b307c1cc80a3bc4a7d4b4044fd35d173a2c7c081318f707828a3438dabe0836c2d6c14e1643f05ef8405531d5594411ae4dac6f3992279cae379d7c1762b122037301d3ffe8efd1beb4e027e055527d485d0871f2013e7b25cc26531c2ca6ddb98b31f0ac2c3bdf400a0bae942c9d4c4003f9952b67af67e85f572edc3345a84b6dc3cebbaadb7e3c876ab2da16ed0eacf4858033bf5a4f739f9e083a345c2bb5d8611dae90d25ac45d8b3d39b4de584cbeaccc6f5b6e61524349b50e818bb6b03c7e5b86795d49324ce6b1603791f20b3500a1b8ade82359263470d777b35dba38276096445842ba5d5e960fb2ab58730f970a15aa42d9737c33be700127a7ce7cade024d3abca59ca49f9a7edf44db62ccc07a595016868aa97a140178dc92530eff864c24954464ba886db7d74be7b540baaf807f1aebd014680ff4a51e16e1391e32069ee823f3d23db72244d657233578cb7d29a33e6ec31df1fdd43b51742cc30efc54be83149177e7bcde4450dcd142eb2cb745f8865dfd99dc84ab92750f1cfb0f3944e4e4eaa41261a1e8c58d9b230add792dce20d2612823c0ff9f82e04b61e48dbb83f1a6dd5cc7f92bcd0a37ab3053803d1188029aa1fed9ba04f4c961588c9ad2ba7ef1cfbc50fa69b799898eb0dfe9668260ca5680f91a10d2bef8f108ab28fcab693ecdb942070d2b9b8bbb22609c8395c23d7482c31b69b0f555b7c079d3defaa5fb302ed92619c058adf334e845eb1c6edd903c0de2aedd3d9830943f8bcc5954b65df37c901a17ef13fa75b0f2c8c1d2e38681874aebfe90b463f2cc7831958fdc0de0446991eb3c3612cc00188dfc1078fe458d2e5b80efa7bfce800c6b4ca0e570fa5858859633551da28f36f1ff418a9b7ad18aa89b4612f9d676d5fd98bce6f144cd7458ca9f2bc732a36a4d186ea290a009a870da3c1f60617d56ea7554062367121f3e5e569503aa573b172c6278dde5aa4ccda79d9d8faf41c6c9040c1d1d3cb78b41ffa8a0180395439f0d1b72e42471a9100973ab3bc7aec559d94d2d6402374ba5a584de168395a156324e1e4149abd35c72ae0f79863cb59ee6ba22145e36e0d85d3caf8a427d38c96ce489cd0aea20d7960608c074ce3cd0494b6d6d5ec8895f0f03ce78982ad8fd6784bcf16825286c51325662f34726ba66d3a91eeb598124d6755da090ef863fa31ccd5b08909a3279a35cfdce24d2ba16f42ad280b029a0e27137a671c862b0e6f73ff4a1de320c4daffb5cd4ac3522ef1c10e8a918005535f355ce6366b43a757938594366831dbf7ee72f311be4953edd1ea1c598960745d3dbb7f1e2d882cc063bc0791d18c6376a8497f2f91389a13aa96dab78feca081d761479848a5b4cc2e3d015f343b9000583e95e785a45a06842d7c6c0fe9ac4d70f085503d7ac954516953c497635ac8b7698bb784f73fe6e7f9d0ab9473e828168df4ec142cc1fe18fa067525915adf0764e44292a0316ef3c0a443683c92c4661409589eabd7b4dbd43f54317ae0e3d1c69c35a7868991fa0bc2f83430d89821b91a08ddc2d314a717f5bc6f3d89daf163af73e10c61630139e3feda723feb2edffe6c7f364fba22e6aab75e267065b5e7575946c56265743816b2cf12a106ae21921e3e92bfb7ff80e105468f8409d6698e8660b5b05f3f4bb19a0bd4be3569d24f51795752be74c429aeca5be737de8c01
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = cb0b305fb54e1cb23b63ec1f6f4689137e5048d095fb3eadc854c852ca86be93
@@ -283,6 +323,7 @@ pkey = 44d264af1665c1e9bef951d110a6f3c5c61999639d068406c03365249a0a716cce4d6c752
 skey = 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
 mlen = 1353
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = f92ffa3a36f43f9177763ad320fd651d9357c6d99f09549fe6af12943b58be90
@@ -290,6 +331,7 @@ pkey = cb247c80d27dd2fe81aaafe541223e2dd323d5f0d7a13b8f66655d94a3d04a93343504254
 skey = 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 mlen = 1386
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5d3cce926a795abc5f6632cabff8bf66275dcc7e4a4ab3b8399d23e62a28bd16
@@ -297,6 +339,7 @@ pkey = 5074c41d9a250941032d2ffaee8f89799542e294610fbbe9159fa98c0c1e4771ff2fcdd37
 skey = 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 mlen = 1419
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = ba2386ba92aa89049c64ecfe60fddbe136815d3874527414b63ed32215f2e06f
@@ -304,6 +347,7 @@ pkey = 2056013961e354ef176843fed2017e616010e951409d250569cb4e21abcc258d368bc755c
 skey = 2056013961e354ef176843fed2017e616010e951409d250569cb4e21abcc258dc23e3baee1e216b4c3e7a81a1895a01b9a9f0d8738522413c84235d81db88ddb476b1153a8fde91e95e17f576894eab0af20a6beb3bd0e14de5630df41f64d0aedfb8a170aa5648f29f6353e552c0ded068e3f0901b7e450803818e3bf52adf960348880104e11284dcc283208182d14215298187211a64841a4909240844048884ba08592025088408c61a4052017611c359110122a623886c4a490d4028942b21020a088dcb86111290e49924d0a452a1c452201110c4bb8610c277111a13019b76922c841d0468961022e048869094109193322094905e022111ca985921821483212241366e22492842228ca12515c1011e3b2040ac10918236e0145916096640a432582a86453b229021108101165c8204910c370cbb6054c825120c2418cc06014438199426a1bb34940204d10a17024252e01394a02b249113965641406d94261c436922401061b9829614441932665a31205d00869a3102c41288a084051a1a64904812151a670d40684c486308326920b25095c444dd244409b908091001204a9690b402003018209912c808289db9491649441501420a4824498b22c032632e1200d113010214700249444594070d806881a4465a114059b14245296304b9844e2c229c1384e88908dd8b06c1b958d1c264d20392a590822d2c2514c080d99943160a24461468143c644e4046a49b009e49271d40000c4a00984a060d2046e5c82918b8829c0126414a564c0c0449b22311ab561100241d400695b240e1422655c060d219149a01292a49481d8408de180258b92849c208613c5509b444da2960088125214294d51162a18251293168d20984c84222160a22d1cb764d2108a2244260227244c4480cc2269e2462e41326820a88c81000654261010464c23858843c26d43b868199661a244626312600443244aa0900344000a426e0a982c89c04858248e19867108b9815b224e904892d936866204021ab3091104869104811c112e0a3432212221029908ccc69192481212c08921920d1c002200c061840804e33829231149c9888052348d43440c0435329bc60508c5249b86252314100a11011ac36ca1328e0bc521232886a020885b18298c808cd108524bc20182c86803c544402609c3808c23b2840b32298b0411c9001100223122370d419271dc202d193311214726e1920c43348410040d80282461242e6226244924089b8d0d733d32c3abdb9fb5138ac1458f13d5b8e50c48a815cffcb06a9201fa2d9e8ee6185a8fe1885bfca380b47d6bfde711123ffaf8271ce79cef7499fbe2e010efc4000f99f49612fbc948099ddf9b0926ffcbf5595baf618c3bef6efb19c10f76fd634b31924d09463188c1019f06156d07c7ba1c9af93448a9076264f084d09633553a6b12fa00bb7e8b6f899b64af268e3c84f9f5538bb0a317b2cabf2d3154e55c0310cc9745e1b75bd9fae30d9bff6b25b1f5c053167fd532282f280148269fc6a04a55225e9033a1f0f7ec9c4f3760c337f6ef29aee3d28b4a4cf0ecc5edaeeee74664cf975ce8beadc7067531b3c9e43dad569f7d331d3be9afc362a455f5875c1fbbea817eb5c556f9f0a60b1f7c1275b57ded9daa9edbd8c3fef2e7b310ee2add92e0328dc27a8526396fa881df64113fa333d7250f85781ee4b24ef3592b0ff8cf9e1eb8832d1d3621e6b50df83f97776e28fd09659ce647c77d9d0cf3534882753be52f011945153a1f3309942cb910aa15013bda5ccdf71b41d60bfb1b2db19145e8b507a0229e1ad4136b6c49c58ff9cc7ab2b78fa7d5dfbb5e8e74db8e9c59908f7a9f2baf6345e751b97f967cdf7f4178628d16de109af61588241d5aab48c769d52f6ec137fb6fbbc9bfb45403c55cf52997a9636a4831849cb0b5c262555a519affe2739849d6700af0ba9157948e9b0f57160105f7b927154f1db21242032621cb1e8a3bc2fad072d7b233c466541e82cc7dbe1fb3ae25cf86181b01ccb6b8c7553d3404495bac1971390dbf33e41d422e79d312d009aba4e47af440907b9b8e81e9d417db47ad1d443a08083d71d56fda7e73c82b5e04721a38dc88702930a3a1011e781d191646cd9591ce043c7c9a157c12374e5ea7873125d111d76dbf16f6d5f431188970e9bef09b015dd55b311e00ba6b21f623f4135286ddab66471d2210aa85d0c87a7773ab4a56bcf330901d6c15176326e0fb8cb86d611383f8c7c001ccc87b82555a03fbf51affc84023d79ac951b3754034513e70ccb6e8e4a3327fe39ad8732931db7f30e04baed70bb34e5cfa2c469e5ba82515d91db6b10198e552697d117a73512d206c5b60a2c34820f4c1b4908cb43b2ec8e76bffe956419e605dcbf1f2fd709ada43717d5dca2e8b8d1fda8145d014a2571c5b92e1eeecb9a19f30512f0a6bfd78b1f998a7db0457446998765c6f821cf8a1a7a8c35634c08d83e46027ee893b9110cd01471ba7ddbbc484cb18fc05e0dbbf90d48b85b0f473e609d780d15905097747552ea688776490f0a12bfb4eeddd1e97cfe8c0b49961b2d32d6ab594a24b49b250da729c4557d58f1147bfa4e8de83aa790edd11e938b037837d37774252ab406799a3accd6216d65063bfc52f272f87f0f4f7020f2e7f5e491a7b80f400037772c686aa82576d044b244df73e46d817c83b14efb4feb5bf5c93cd35e16efedc1db7db4a6f19c498105fec19c3819fba0148469e20e97a2285b728b0678b39b41efabc5854b134e14ce024e9790db077e2a8657b83e65887e9b6a4520d77d5f59f50e55503f2d956c17257d06777198d39c6519b2a3058506bfed5edcc8ce7ef8d09be30a9efd3a142a834041984d99ccd78cf3aa4a840f00078ac9770f06ec613e5f7f8aaca2edf57838ad1f551e8122ab680c5c24c7d0167ac94d7e742c04da87f61c5e5c60a1766804716701c5de47d9e5ce9202380c02733d55339f34d9025fc23fb8b9a22232d02287bf156b6fd80bead836e2a1b71a82bf46037c6f5fff5312e4109f28d195917cc40733b31c24431102ab01335b1babf759a9b9318449faf945c7fff55e3b18611bc2ab256bf4d4d26bf6702175ff87fa8b4d0ee5486d25135a6fcca4e1ae3b93b2054c122ef3fded5b9463d9d82738c8160a5c0b3eee7053d80aa1a963a779a1c1d410f45fecd357dd30d977bd76975c2671c78021c8898ed01577e9b40bc7bf5732e83f7a537f6b1261bcb4c8de30b439ded4bffa311e9de1cc003b42ffeeb74be678dd46f43afa6c6218cbd3906a2ca82bc337d6a3889b8a299a3d58c2e7560efe9ae036a2bd5acd27e219f4c5c582c28183cede2ab95a6b3dec7b2f7b92269ca6f404a4c102f52f09ed6bdfeb86883a586f30c91221c081d64021258889237816d237b565a781b9e897647ed26db929b270ee15b5f656ff86fbffa3c1f7811636f2ac8d311b0a3d80257302b883ca76e0a105886ac22f9cca91b769e2a34f8cb3d703b279fa9b71340999d98833b36278ceb35fbcb9f3190ad3586c354340f0921d2caf849d996a76a10b294b25cc9cc06e1cb447839a689fe0bd4e216
 mlen = 1452
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = b4e1af25e8dc6934ba391a89984a358702bdd36838babebd982638703f20eef8
@@ -311,6 +355,7 @@ pkey = abbcec70ad82c764e63d72627ad8ac948dad19017e5bba517d85c8cf781fbcfc0726ea9aa
 skey = 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 mlen = 1485
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = a62875a3a6d305e120dc7975962552126cd844554857c2943872a4e524a6eeb5
@@ -318,6 +363,7 @@ pkey = f55d9b3bca9328df438e5e818ce35b2d04509f8bde9ae6b9f97a2dea655147e1a3ee6d754
 skey = 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 mlen = 1518
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 76ae71ded1f9e73af77a2feae4eef80f87414dfb7580fb4ae0325bff20d74a5d
@@ -325,6 +371,7 @@ pkey = b1f55d9e3a707b3fdeeb5fcd9d77a5bc6f826edfc6837e8f04e2631fd7a50e52571106bc6
 skey = 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 mlen = 1551
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 3446acd6d0f897e006d42dbdaf7dac91d3637e757903c849e5caeac7f4850480f19c5ba1f92cba0cc7474ff7f213856a5cf2ef62c267689fd388af8e8c9fe3e029826b0d6f2fb056fda25c261810121e73190c91bd5418579766f7834f64e53c9e26693e34fb0383fb39a2ceee0312b23953ed09bb2995b06b6ff64ab59c5af8bbb8ea50ce1a54507b129adce441177479423651a0aac0413aaafa0a492ab70279393d975063dd4b480bbd022912feac8092f3be8098d0d48d9f606cd439c925322af2d559174dc5388998d7001735bf34f15962c87121d33bb3df3fcdb94f3bcd00be49e2fc0c977d67cd6d4223cdc4eb93ecec00b7fda98c8431bd728419a9bf26c681cf9fcc53acc83f56847df00992277a26a9cfa533f57260aa1b1fb90096b8c047667ef5fcda184f5258cb29882d084974a865b39781e5f8e602168d893f08dab682b3d6da307279d4066e6bf97b4cda8cea711d3c0b3378f7d1a5be1a842a2e698b1121cd0fdf8ba6b562d637ce55237f116e52f5f9c43099f06e1eccb94d09eb9ab996f6917a98ca75f56045cf556d7ec5e2071fd0690f39411f814a00967a49689588a71719184e02245fcc2e290903a8b41a55f5f4f179d41923cba1c9d4ad9e4bf4dc679ca8824380e5c623ef0f20669558d8e3b11f8ca9a487179337f2210a8fdd7ee4473efc1d3498b8c06d0baee7b76995cb6025c6f5e254cb20dd34b7490ee0481f15a82e9596cf5fd70ccf0253f6b8d3dc00a0e74fba091c466b292388edea502ecf187a1f69bff020eef8ebc8cd83c4bb4f6cff0c3a3d96e6f63559c312f849b66c150549e2a65b44f62fae8a450df02d1251626d511f7547ee1f084c14bb38e20ee50dc36519e16a66e10c89d666957a9f9fefb42e80b02d9aa1f319bd2351c0004d5b3a7ba7e636cdaf49ecb290af735b7953b978560b4e28c35ebb0a033faa0fd8b9de0cf3265d29ffc5eef20a605b1199d8b91f1481324508d16535775d0c6842ea2e56477c4a277b7cfeeafa75442a2f9fb24ea15999721a473db55623d0aac8cfed8fb53fcf2790e05c5748ebe681785661d7ee7fb5544858d8bb97e5d4e7507910e551b0cc4a2bac778662f8888fc1a970599f6d4bae68259cf6c46c42b57e3394cf4e20412075563a111a80dec59999f535540096725a5fa8d2a2f366a186d528d6430afac55d249d9849720a51b0b05fd9f9377e57f2bb2b7430a254553ff82e10b5b07391d8f7afb7bba70631316049a0acb57198d6f16b50304353f570a79769a9577a3603fa515e80d05fe98e98c1252bf5be804ee109f460d7c39a6c8a73877bfc2b26fa7897154da51c91231dc89473a6d1b2d60a538a33f003d3dab8a4882884d6fb1c2e7a7feba34b766436e970b9101fc82c903f3634ae7ea6a121ad6e1d918f56f18c981287ea36fe80ac0bfea3636c7f018fc3eb05eac8ba4eaf70b0a94655b14228ad0c97632aebf761e6af507df9cd33656f7b1cb3d1a46da818841df82ca53917cab38e2a1f62028ad0f29f8b1d16acfd2cdb588af426b9b5ab42bf250ada7201cd78068b7db94cd77d65eddaf11878abf510a083596052e15cae430f419443124313b00adbac85424c07934238af2ee8413bedc7bf5a3fd65582e927486a53404b96818ca0ea5f98eec39d7bc37ca9ef01f74a38dc92f2cce3f3f81460dbb6d116ccaa979927017f1d680f2d1cacac5dc9b81b8e4c754c1586b21b89b640c9499a55f99f206ec23b575f21674572bfc3821d6e7262120ee3b7caf2b6b5635edb1e82096251f66c9e6d318a2cd60944f547731556d5faa2b562a0cd22c8dbabca60796270024bf208437081dc4822b4f460c2f53aaa30a764a4173c0dfe11332f1fdba865ccd0937d8127c1e1f78a232888891109a4e528aec3dabed32739eca82cd66da21e3da76110494d0c570c23f730974fbf204c35224838514761e34418c75a2680869bfd6df3ae07e1a5736617341fb2025d74fc38af85561142940ec2db7845b6949e7b73e94e5bf69614f3c7293b0cf9c376c0aa9b209d784f416baf0680f34742d888b5e977697bea620f64907b55a673c2a5727af968605441e86bccdeabb3032ededd1091afef8c7bdf2efb6fcafb4042a3e76f60a4c35dd45bd5fae9992f60996375de596e40c9985b6840e85a0f8686be85bd239fe2c770ef61918ff580849139bd85d02cc13c1448acb2b6d70807bc2bc4d9ec06f31d2fdbee937bf2a822e246d282d53f74bd611881d53e96e10f9af268039c1c4144c287eac5a889b1d16febccf979a2f58df01e46aa2201447ce38f26cbc2bbe6ceb0bef6c5d63d247796dcd69b6dcba87d124301158f7f9d911bfaeb8bb6784a5fb7324105cd2b03cc161d092edf5139c85d31c07917ce7abc71856290b558bc8a45e2a36d56dd6081625927ab1d20fe04355f275c7a0e08e1a01a6eb03d7e350a3d5c55ec3ffccf6952bd7f27cbcb7a5b6236023019ae342134761b78a17a2301c1069e68577fc5cc93e4c4b479e12f3057d34a7f71be8612cdfa7cf3facd066e3eda0c4a89505513897efa4dc2caf9b79ec4b8dcc04f4ff9fe82716b26a074a7a8f0daf36f42f9bb5aea7078978cb43fe2c8976a019297be6b3d41a4ab6e606065ce137d981eddb4c0f790b8cda10f7ebad2c35e0d34ba44f6efda78ece16bef87cab21f646d867d4920262f3a18ab66186a6e57905f919b550c9eda8f7447b8041b2d038bba4134fb5947d8bd5469a6574995f128f4632fd44a98aeb5eb3337944e5a4f169700d122c1d9b206d87fdbac0fe7a12e7e01bd812462610b437f35f6932e0605c2bad593344d8b85e83947a4887ca7b17e1a8c07675309b5519b31c584230ef746a060b5263afbf2b09ba3a998d5efc010660db34d7dea588c5933c2e1c8bf1833c0751fcef108ee950ee78f1d36bb29c84c31f1aa62c789d26e96b98664b347991e7b8f5ac4dd2f111d5168a2dab274b35cf1e59d30791959c7395fe81000d6123d95f43a2a9bf7964001426e6cc7a2df069ad7a42bbc02b8337c3b6e0eb5091b76878e826df166ebcbd1b902988997f15bee3e977de3e2e24af2e6e019549694fb1a123098b436b217f47a05ade46e8efe1678bcfdf774032c732513d2c65152c90e66147ce988790a785fd7bd0d1825028a9191a3ef8671d7cec3ad8f7597d8fdd5e5a0b13aff85d3fb79c7d9cc92aeda5e4651db0f74edf722afac5f3e7eac7280565d230e454f373201ba33aacd459018e14140b510b604831c1511296a22f54578e8054a027dd90e13293d444c4e555c62ddf11019262e34676d6e7f8c97c5dae0e4fc1d2e747b7d808388a2a3a5b0b8c2d4ebed0608144d4e525354577078819092a5bcc0cbccd6e1e3eef500000000000000000000000c1c2d45
 
 seed = a8f65be046001a6814f537915be3f03f3670e1169e4aaa6d7e726174acaec77c
@@ -332,6 +379,7 @@ pkey = 8f1602c7b0c804d59da6acc624e97bd6133fe4e6f2213d1cb9574df3e5c9e3d92b7ebd39c
 skey = 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 mlen = 1584
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 802e08c14f6e3446bbf7f4666c8ddf7755dc718c3e02b7865ff33e9d8290abec
@@ -339,6 +387,7 @@ pkey = a889a9d320c832654c7b08e64766750c0b0142c293601ee8410c399b0cb0cfb5b3fd8bf16
 skey = 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30096dcf5729d217c1e845c5e37538b649f2e2f6df249600731dffcd15c8d8b2ce7ab79b0c576159beb943efc8ef9023e9acaa46ebb77a3d1886e9bb
 mlen = 1617
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 23d7a85a824df3d904a511281a973c979f67f5bfaf3ab0546e85d0597f91120f
@@ -346,6 +395,7 @@ pkey = 219f8358d472afe3f946d59c629a307d35e185d22caaac4a5cad3156e26d125bb26a57628
 skey = 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 mlen = 1650
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 771cbb7c9fbd9fc5db93e3e4de6c034e58be9bade93748c42297142124696234
@@ -353,6 +403,7 @@ pkey = 0ac94c5446f048004ff0e54228bd5fd06f68a22a042853c1867fb251a3cfd0a2169918e3c
 skey = 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 mlen = 1683
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 4ae6141398d0e641b1b06b75f7aa3ea6e721a3fc6d10ddbcd96dea917d04ad8fc34dfe9024632d2b89d41adb30e42208f9de43b6f58912dd9f4856d431552bad0460c5e14fafb211c5907ec56b2d37c00e9de25a195a198f97ed2316d17fe00ede3227dc1a6b18f701930a6fc76faee113da0a3db62d72e1b0ab46ed3bb1faf45665e8fad6004b9be3a2cf8d749ce989c634b3a3a8475b349d3cf8a609133e57d1d76f15896527002c075d65045f61a5e541cd48377980b6f86d02db543d31e2d5dd982510f4b2650cbead9290f202c0306713ab2113ff7ebed95608f7a133c3b8d44d132780de8ae5abf09f135abd232a6fb7468cb32173670431d8653c9851f17bcc193cf1db82757e0a2fe4b317a176904c870cd2298d104a1c2f57ef8c4e2c45c25dc15386a14a7a558b8aa3e46b5b6b7bd35d0e0623bab62b7317d5091cf786c92e08260ab7a5e86ce186b08112a625c63114192b2d5f20c2ce9f086e62a0b08da9ae3dc7b329abf02188c163820fbdf5f0b9f1dc9c7eb18ba176a580459315bdfe68948725ee29d506f4980e7950dd98f4ea9564970d823b374691611146d0a3996c995a812d6af2004f490915f96926c963415d8ce2b26c0ea3ce3d7d97bb4c0d6341ad008a46adf56edc062462dfadb06999071e9a2c07fd159c2fecabb73a86f9c5ade83ed5e0ac82cd94f269b10914c2385a4148ce3162ab438a3b76af82e240f61ada9b137ec496c38de3eb3ff1f0ecfb0a3f72ca9df367ef5e7f27d9f16f722056a427e27ceaba4cf17bec1f33c6e82d680fe559d7e648dd43fb0cf65a27b26e41816634505ad4b838a69e08bdacf99f89ad9018ab51730bfa943c39753878d4b51b788a98c0d0261f7e072048c10d5157498ea7f18f6805cef8e7deb64a6721034b0242a350f32755c17490600c70fefd4cb7d440a673e805a572a672bb79d4af14a0742154f90843e60e648c6577a519ba53975e776682aca27607e6381e02a917282d830a2ae15dc6ae30c07e3efd57a67ee773e2a02e6d87ee7575b9ee45fd33684825501fabb4330075058fb99dbde3b3aa99c9b36cf2df406dfe25a64bd72db3ad5d7d4091957fdef5f12cc96ad37a708aabb936d70d095755d10f9b2a547af8bffa2d5f9555ed7e712d9d205d8050836f3ebcbe50ec9b39a267e221983ca90cb78fa3fc61d1378bf799ca68e2ae2e152a861a6ffcc63b263fa3b0a287288f07647044d505f96ac39df767d5dd20dc171a5beaed6883f9edc98bbe8950b072181a3e00f767adeb533e0d93ac5068010e90300abdefaeda48e4306e23e2aad7cab171f0534cf55a49f5c672d13010bd24f5113a2f73d221fafab93dfc775c66260501fd208c4db28cb303d646e866742cf5933bbf18e542fa5a7427665aaf29b230a153a5e22117b23510b2b02d620b6f352e3d575d225a8b2764958d354ad7fad7bfb5c835dd262395f8b7363eabe7416cde68825bb02a5d619d3e4855e87e31663f6597129b2caaeea2d241384fcbd21723c3df848050a346d9bb7cf125b6348c20927236b22e53cc1d35efd83683b036c5a977bbebea627592e35ca35803d10c54b653126905f65a98ddb8e8e5ab8370e9e07f119951cea25cc39d639bcd893ad3b68aef415848ab1ac7e15b459be135efd9b1e9e5db7e5b5f7ff27989f51a4f629eaa428b60b216220092138db6986b3a15f16d9b7a00e8180973259e9e4818018a5433f3b449b0cabb94c47b41f0bd8556e95d00f4a5dc9cfc82349cf43b39a94ec9f65de91a077d0af06dc7cdefa15ab76a9da67604672a79cdba0572f1b4a50e96f27449813f372aecb3ab4700cde06bd15f285be7611865fa9f0b6fd4ba33ce0cc5771cfa4b1620eae65e2de41a0a3291bdbf271e19d9af8da740cde2acf76d331cf2d0a1e2d7febd3f6d6985760a18c143808e670a0f45f3a21f83749edd1d7a93eb972976405c8e3b24473989ed0c64384027d03b5aa63b99fe16501b9ceeabf9079d3b65023c57712f1dd2e948fb3e8488865527bea09b5387649200fa6cb4a9eff5067d5bf413c682f02f0cfaca80c5cf81bf6891ab1a695ff80936be32b3b3ee303ad6334c175c03004ebb4d153f566e73e074937a92a52a8e4242eb2259cd62286c02db040269316f62c20b1f4c8803d5e95a1ab97c3aaed6333bb2f2499ab1a8b3daaae6413eb00a7480b9268be2eb6a202d223d7d16bff291c085f5b627620935f84ef42a3e31791505b31ca0693b41729c13fc6c351189e13ffb5e3cc7afedc7b6137e65c8c50a1829e8f06cb9493df4ea682c56d0d6341cb9213d37f7073b77b2712655cf8614fcd7c0fe38212608e691eba235a008c24a987b0d2ac164bd25c5b544994c37451d2495d3281082a4203c0a7ef2d13d791bb15482ca3af8591bd089cb29c39a48dbb8c07d1369e4496c227765d7eb45b81b21009a82eeebf9735f900a3b1cfe013ac40dd9dac446c78910fcceb80247e75072c28ffa26b42fca5c0fad5d27bde2adf44b11a5068734a282ad42a41b3c8eba75b2110ed31d89a95aa924619d1007ccc2a7c45dc0aa3c3d806437d42d906f260ada4c4bca095eef0dd61d40de7be2e2c7fb581f3a402e4f4e965706b3ee0415bb87d010c558b3608981cdc7c339162556c86d193679c9768a96052b19426422c38cce885fafd556a61b02b626a9f12b7348841d5054205c61591947da95e1f3517f5d73be07735e8157d37de13d505aa92425e4fd532c9b133c5cb347e3ed650d25f0b2a7c3d970f66d3b32419aa17ad69023e3a8b71fbbc4378faeddb1fe533451935517310145f4801c770ae573190a027c5c05c52d42ddba9402783fff3db321b95025c5c43f6c9190514ae51631d306a9ad386723797e4005e6202d043ec68be93ae681141a7269a5606a2682ece1edd55717eb671e72a75ec42cff44e6c07f680fafd28e8b2d1c0ddb82a0bf089ed95dc1211150856416ad532acbdd50d85327a1c6f72d2a2c0fb954c84db80a67e87f7d9c4b1267ecf4f91bef843e6753b005ce9b0e221e8b8a3739ee46d070641a70325eb930cb899ea048d73d46a0625d4708c32d78171e8116c8934d10ed5967e936bc3447039c14f7fc4218cc007589b50ef5801d371535c6f350c3137e412598a8fbd674c6e7e964dccd45abfb160b69497424d9b9be20351dc5f54f97a507d0febd7afcd7589a99468daaba8b2e0372ba968961646caf967c8c859ea2c2a71ca8a2dd4abd3a2ff8f17568022c6a6c3da0dbd2b9c0d87444ba5af06df289fd96c62bd54a1124366f8994bfcbd0ebf503060d111f2a2e3a3d677ba8b1bbc9daf307141d202231364156576e709fabbdc2cacfd4d5d6dae3f716323b3e414e52575d7ba5b7e10000000000000000000000000000000b1c3441
 
 seed = fa812d8cc3a9631a0239474eb93ad3a2a3480f2d973d3324228ef92a3b043163
@@ -360,6 +411,7 @@ pkey = dda8cd977b5f8e35fc3fa35607db97f2986b1d4d131bc793bd1823795d7494b5b113f3444
 skey = 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 mlen = 1716
 msg = 0bf9a7c0f63cdcf3f850ed7c5db6191eeefe29e498a19f9d89be4698821abd72edc34317b4f8ec2736dc83c24ac195bd55aff00e797a83dffadc7970fe53304f16f5dd92e6ec362b9e283e41ebf121fb2fa2a3f60124ef3ebf836ae51fdd55ca9f59b085ddd660724c072b86041b50a3a446cdb20a45ba65380adf007e005df2d9aa16a9d22b11dcf6f0b1964f04f45441a923691a15d80dc85003b9ae281f2b5983dd1a04d80a4d9c4372d9820bbfae3af7735e7c71e9f085c0a6e4bc107d9e4ba222b38fb236b2cc3a19dd6067beac460383ff2bcc771a7f1aaf092fc72c292fc1d5c6fc6b9715f1e1272eb22f8e0b33a2830e31bd6c531677902f6a95cabc3e9c1ae36f77037a785fea355137a581fc14e6bd5f1f7ad1a5dd19dedd448b47b558c22dd0fcbf296a812a726e7d1b57f4688d3f577104cfb15fc63c27f7b6051c7aed7d645186fca63ad9c2d68bff442466eff76bcf0e398d2bf54c2ca4cc614839e9bca48ab2cc53865803710a98d313aff1ddd06a65680eb83c640052db807eb2f38ed0cc211128044d331fec3e6b0b2f3b675c631fdade62c16d1719278413ea3f8e54ba34ede7e73f3d94802d2f9cb9794d257c46679a3f00015945903190b97071f8fb55f8696253aa3f39b3fad344fb88224f5313b43889b768171895f7aabeff25e21e525ea01a996c764a3acf12bffed08f3f751f5cc094b50b325f8b62c7a5b3256964d48543690538e634e5730354358534b65eddd44a526bb4b15e2042b6210f503eee06d00d615ccad10d73cdcbf5264b526674d85c0ed31ba5ee584f21fe6d13f883ace4b094768865e43099e54671240e8e2af8a7d7d22335b3974ce860e7238a7c1ca8a009eb51c8636f0659189ac8ef01c871e9008957cece0a367b63bd2852bde8690bd74c6d956435d0ab82f94a90cd00fc840dfc7036b84d51f1ff5076ca0974db6cf25af42ef7dc8c30c2b04ceb2510e86ffc510bf4c931639478fd1520ad571fa17958ccf8e37f5f6360030300ede3a33871e9582808bda2233996c5005fd0c23d99261f570ad9027767f6fc96d18ba98e8ddfc2b79ac12cda5f2367b4bb6b99a3e07b59882e49a92aece85339bbb18ab9644d20a3b2a795240492ce4eaf09d9ef728fb82b1de7b64b5d391251ffb0699335ced8c7ce642ff1a79f04c3ea0dc37ea101188361afad236eb218cfbd1d0ebd784ce27dcba0266ddeb87b59b66a4f75bb44665643fa358dd3d0b69b49f45a752b5c410e2299a62be4b57b32b0924a069a8e8c15d754cc34debb0d967e70693a6ffa58cf7099c2c2458b437c7b205cc7e815f6cb494080f9eaf3017e5ff918558dde415ff72e954ebc2ed4c20c8ece38cc916060d22e582d54f74c6c181c2601400110a683f4a365e45ff1387bce4e152a740136bb762b03a99fb68f6ab42620b2e3c00fa8d150944230a6330409b27e4aad1693e2c3dd12216c4e2ddbc5e9cba68b8b5417a7b2edae7eb67d25f4edecbb087f93dc9c927c33076b1c71a2b83b33870d602562ed378805a690dd2a427d86c2c46ba4741f3defeb91a05eace975c836e52868cffe52ca92f97de94768161a3e953bab6a28016782909ec53c02f35184aa9ccbd5b793b525204b72deb63e104376893b9452c3f2c492f423cbef1ec87c85788cf3073ffbbcd67ff79bd038672943ae4bc68da131dba8d7b41c83b4e9cfb6931987b270c74919bbd40612f823114e4bb148671f1aa62bd2bdfcc8b0b24010ec112e883aec9746d0f5de467addaf51f8c070a359108b1f91643071438f098233ad9a94d0faa665a39291a98d14a861905ecde4755d00e690429c57580dcb6d51bb6186ce72ebb1fa8413892cafb8713e89775013e546fda30aeb8af9f7155c08b25810c80ccaa5e700c124cff59fa32e0293adadbcc7b1a99f67e66b28da614c5a4ccd706afd05388c65ebce07a543d3dc1e5a5d1f307f675728d4c629a04e9e455b4da35236c677f26edc622c1fbf29568d509ea0690af4cb5dbb4e418b6162888e43b458774a31324bfd5ee8d2152e4ad43a3007d7d4af5fda172c2779837ad3a09e135de953ce966727a7183bf77adfc76430666b526692991d3c9db5bb377552a7801c548aa63f6931d3ee91b875cdbcbb7441a4ff81f86762332d7192fbc2f7b69a58db6ccd3558047f1940a1cacd6fa28a000b9795a2860394bf05f0120e6d85f96b1fe9de14e3ed66a31d747924b6ff2620778e0714aeb34b79a5d935a0306e55c36506a292c5dc568403551907e49a43a6263d2915108916f1e27cf3529d1b7bd1544af83a7cbe58547f192a93ce5c5bc6d652405ffcb95345f522b2d34e8ee0960bb85537a46121bd9a408d283a125eaa745bbab04e2231c19ae95e13901c69e5c9c4d70b104478f4a70d64f81269a8
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = c660b84d558a7e6b4eac47c7b62135668e0ef0fbf74d514eaa3d0d428014282a
@@ -367,6 +419,7 @@ pkey = 39826162274e46bd7b6694336821b46abc9d3db51d8f0b5463e07bfa704155d3d1ae586ef
 skey = 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 mlen = 1749
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = a8d9a48d026b617b09a9314cd765c8e2ac5957b703db8475daef51d1d6a73c8a247de3602c04e3b4c18fcaa59c97767abcc2d6750e29689e6a40aee6266cf54d85a80226b9924590c8d60f26f36b9a45b2d2d49d7d9730dbb87de5785d837ac2a25b1c788091666156f7776b441306f0c6d2dba4d8cfb0622e5aade95310dc45ac4b26a5fe54d01c7275795d4acfb58e5d44191125aa1218229addfca32452cdc0ed7887683e039af8bae520f57d665ac122be727b5bbfa0eb2cd2c1f2653a5e2978b8a68bd13ca2308fc111919d9dd3cb0b98902545bdd7c346af098887d114490495650a5970cfa04dd617534ca93ca3db6fb9c9ae4bfc9c79fc190dfb8d79b2238f2bd0e89f0a4c8f03b6c0fb64200ffd81a3eb587628a9b60ef21ad174bb62dac4a707eb94cf6875ffb6a7b48f736c05d77d5fe3d8a46d0417ebddba9e51771eb79cd52a34538789fc0203e0f54c990f64eb63abe64f7b49c85f032d5fb0cb91b90e9192001ad04d7f6d27a30a0a5eb8cf962a84b1aa4c9d9d655842b24672261c889db3b5694a44fdbeb81fb2a7fc5632c9ec659f80dc4c8730fde9ce6afa93a5d30f91eeab1252d0800b9116ec744e78bf41ed4e27e5a778fcd54eb627c9df65ff8bfbfaaf336422534d3ed62ee82ebf50df33540b398666ffe34b4f9d8e3a7cdd81e0cabb63247d444e458587acedb686e18645ab485d11644a3a8cbc034976ce27e728e083d25d476d254b3126fa9237e75fe7276e4ee12b0b94e000c70a367e9305c5b965a5ef47fc491e6ca479275614e680074e671264b30d6cbad05207de1d687821e173c31b72a86ac45cc90dc620090bc10d9f0b69e2dfefdcc532f31d30b5761ecd5734c2bff328303a8cf636d76556a8e44d6e29a4eac9af39f350b2d56e01bdbea9cc580719c6d84be6adc8723dcc246de22b5b7232beee7be72b57246e3a18c153eb315dd33569cd646b559669e5a1ae8fa8fd419fa5736d53017401968c62cdcde617fb2aa1584b0887ede79f23890945860561861114df353eadd18d7c5faa484ae8614c2bd74168fc51c1c6e105e7a9beff7edaa6a55c9cb9863aab21c111ba0dadd0541f73c82bb822cd272b5c70df68a9a606704a9fbddad1f1df478d7aca66a9c02af5b6db2b8b78304307087ff7b8a51270e823eb839755632481573a48efb2487b26ac9a5d99b8d6ffdb1e82b22734a3746a9352a55297789ea34357489ef75b4735ad491b827c0430c2f62ddfef56a5aeba4b9ffb03427b6fc7eafa7f4f3369e1d9ed7caa737037048349c79c5a540b5150b587213d65934c04a1f5460295a32c03a42ca0640d338d63dc2a45104fa30f8dc8e95610abf439ed40a9aa6a9c52a6c05d6e460862b60f01a4780b2aa7d92a4ef7f98a4c102406064aa49aeb5053c0096ecab23d634de394cfb6e5368437c1e67f834dd2d242a451a66b31309c1e9b00e0ab5c31bca7ca5da0922db812d20f8dd6179c380d7cf4d6e96e2527defc8d8fce54f55c8494f580762f4ef42988780ce486a836d3e02db9893837a8222cb337685478c0cddade2726637483be6302a53546aa9a6ae792b69a82ea4554f5582cc97e9d6b742f1d702117caadcad5019198bd272e9b7c858fdf2aea9b0de76d73f3e81f46a87cd240ebb0d8f72e3581af09f0dad3d33469c5371c1e3423d27dd6f39f9043fd050dddb98c96c159a00af313252a11d30312b5990899051e7e03a28bcd954e101a0238528ce9fda0156ca1ac649b9f000308e7ee53aa1a8d119dc86160611abf8d130caaa5455799540182f18a81964deb3c6863034c6eb680d2ca5fc4950276fc3bbc657244a8b42d1423dafc5ac1aee6fe83e00d2da4ab07ef4a6f792027ff98254dfc50a79c70eb9a9bd6829067eb3cbafd83a8f18c84e8dbd0dfd7743eaf787facb9710ea8417e0329159b6cdb2770652ebd4d89c7b981e733e850f6583bb2f120d19b5b51dd260b1913e5ca74d91db68680b78b794193060bb07f179031e53e26f975de15c039a045958e8a476bdd7ca9968b4913d290075c819201c4cc4783cb2c5a65d2c82f4892ddb5d6b11fc58ba8759c1729783ae8fe422c01da36c59182ec1261cf94cc599c8a6245809394758bcf965ce5321a1edc2662e1f3295376caa393ea49900d6030dc2c000cd7b0ccf10bf142bb028cac03fa8fe0789cdc57e723c5a9766e812c41f32f8ab78d10ab7364e04b801b373ab4eda0d90982f8ff7448effdcb68589fca28bd46ecb6993147dc1272b845e38888e59665bcc5d401046a19a886001096de5412fb19ac48e94ee2d239d97aba98e106ea8aa9e95e6cd35f995d19dd93556e779a204668e7fd432c15c8612e93e02e953a66a23c2514cd368c7df06fb644768c67d53b3b2af7259850285e4b177d31dede8a4b117c7e4e2d9ae7b2c20800d6116da9febef173222d1422e0e6a8adf5b315bf640253918fc54b33b47f5e895236a5e748cde2badae7da7f5c9f2e8848f8fe008b9bd21ceb4f137c7b112d77921c6b9c2016eb70e6d1cbfdb0cf9828ab16a1508b46f229093397712f1e32f8d7db62f91ab45b2881315337c02b5dd0a0c20903062c6d86dd6b9363287fbbd2173728971de9b6faf4c88387cb3f690b36b37128197d24eb2c7e39980e6d48611173c13513859bb6ac6c1162c44d865de8d94ea70c6f68da7117572ee3a8f8b50a705ab79329fb9fd5f2b8addb3d16d388d4538e7650e84ed56056448522c2b147da02b8ffb214e3f80ae8c2ca0cf8ab8328fb227d9ce586f11e92a3f5f1c3746a60230941a36ad3dc2c20d38f11f4ef24cbcb447eb7d2d1326ecaf616642c9eb84a4c15e3071d2eea0954a4350176753b175a2d528b333a30e4062f1cd36430a9cf8fe68c811e838717800006696ae00efad51cf5e6325600670a95411e066d632f8ead2a4429ba14698f86205a491c32e720d8ac538a2c80cf82b158b2b875ac120190dd93dff8cc6e339c0774eb92a6d44595e6824b993ee7b5e79941f4bace663b18894d5790656e3f3546510a6e0084f6b94303a0f1cf48d206bda1b7776dc43ecfced5e6f3f49fe44fc776c8c04e6fda6f9f6aaf2ec4afc151229b2de1e88f4bd2d768d5ad84ee5747107624817478be4a77df5b992f34c15a84caa9695efc58401153c381ef58cb8db6b2482bef1cca28ff03834cda38742e0b7a4fdffd47472e327fe4edad018eb5c20df287652affa88addb14daafe80c0e8ea1ac3dc8fe167091c0f388657ae09c854c3f3c51d2812d98e4c214984315660467ab221f1051d7c8c9ea7adb1d5ecf5ff0b162530586ca7aec1cbe7f706292a323d4f565d60646a727c91a4adccd5dff40f1220293f4246585d6c7b9697aeb2bdd9e0f800000000000000000000000000000000000c182c3f
 
 seed = 929f309ab3f90cdd9c21eb77a7ca762ca3afcacbfe3e67b056290835694ba3d8
@@ -374,6 +427,7 @@ pkey = dfa47d54ea735e1ac37015d78cc3e51ff35a03bf20bfc684f88be0a2316cdaccc478de00c
 skey = 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 mlen = 1782
 msg = 6103e5b22f934203b5ca87337095c9a19267afb9695d309beb8a557bb7cc90332c4a03e1d416d397b945b607268f545928104cffd71b02864e010b666cfcb68b762fa5ec839b5aefd0407419441b38e6d881bd5218df73c675df101bf2c53d90ff86d4a3c7db19ec9cac044e0467a36337aaeec32217faf86cbd7bc2b663421754cff1200a8a66e18f812868bc8d1c8ca495e6462da4b8b96d4167f040f04927a7c27ad35cf174d42684ed55ac80d14cbe4cc2570642ddec4f44880d967e9af77ee27d0d3dbaec9067fb6fc957ac4a136c1d564e17f59ac4938d43fb9050d810989907125c47fcea6c162c723e79f68339cd1b3bf596988bd6e215271385cd50616868c6bf40fdc34bd30e5a00773e2c039723f2ac3a3fa45f4ce870841762d7435bd6ccc5fd3d58fe059ee455a806fde89155c84797fbb73691a1fc6921859e99066a3239e31f28d1a46100db1917621d9e61473cf1e71f9850b584b459d5690941e676a7dd56796313ed9abdbe03dc75afc1430dba27fe0f8df48ef7c339f462af1a6d30a5f8b480dfbbe860c4c0bc136393c8fa0875af454273c3cfdba7eea44eef1a4060136948cd98b9d2c19aea4934f3455f31dd15be6545134f17a195b6bc409159c0975e592a15e86ca4943ccacf4b46719a072db8c629b67768f1956f8158f179a0b645320489dee404c8d0c4e786cff39b324053f102c118e7d51173cec0fdd017f213b2b07ac6b2c7dec04172dd5396a020edfb74ed86fc31952d241a7c3d139def543d90976aa70599792e73cf73ad0bd4a359bf60dfb2ce96a784d8de5e23a95e831ca6ffba6b187bc5f29a7757185ec06ac882572ec6283a1875b54fe4f295e1970bf311dbabaf9f894d3364d68f529c4ef9030ab934bcb09459d5aac61919946fd28df1ac85876f979e8b8528e9bbe69f03deef136eea6a8fc86f31bd64285c8c9f49adf53a8baa7867ce52e72dc4a63929df3ba2662dc77d71f88d8af42b8d67ad54884ee11f5a6b3b794f7d5610909b0b740937587cf475da903159994a262b6f32a3d1723fdaae65e636b71cb0ef0a744f359bf08ac8231ed2970ce8c451266f703da3b57f85aceed4c1c174c50d9c226f028e972ac124faa6f60518699cb4c499220ea51a538f9ede67d0e98e1bf8fb4b24b1d8ef50a28a93e20076f8fb812cdab04871d331ff434ba66dd4577b18dc3f471b3e96a174b58a7ac2470eb8463a71ffcba2d064470fd2d4e15f9491db09df3e3ba376a3ddcc437312be5848db3b9079f2ae046798473bb970d725e1d7c6fdf405ae387dd7cc1735a7fc27d1a476592a514b87c9017e1e5d37e338f37916f3c72c5f2af75185b88694d4e8e0a93fbf20ce81a7a0c10d55737b6473fbd92bbb39febc6167336beb9c235997796b9c0dc18c353e80305175bb412acc29e647813d0003f727ed0577a7c14bcf67173da569320e887bdc8f5ad27fd8864261e802a6753c6f9bac844b5900ed0d4274c0e6ede42367079188b10bed5999501164fa4c5a818ed6ee229c3e0e0f7804b19eaf5d1132be1d7fc18be834c842b21f8ddb11f8cfaac10d2e124981ed698ee7caca211c5624f09c62e1d451429048b55ed0f8a714bb77a0d4b40f0a446eddfb27602b7bf894805c4aad9252658f6b21a05dc0cf6a3acdc227fa867a4e5b1db63a14de26a79aacf1900a7b7d867c15cfd1daa712f2a1e2a6c7b31b121465539cd0164e3ccf79a978b543ae9602996448c6f68069d044fc958911ef40b0b9afc78ed014d94571f6771ea5e2306a7cac32c135fec0bbf1dca3cb0b57daa239c01671718017c907048e0d19515cbf430d4b3b4ff4fc9a391d15a38b39c4e528fac04ebd3dc69144c98afa75102d21ff961bad2e1f25562af92554814405c4ec08dae4a0cd28be592c9c9bf997cc0fe31502dd541000d4640d59654d26ca2a17ba4cab0518ee097c05b2984ffc56e8182368e216768e0d07e17fb64003e95194d04c6e00e08386084febb6cbc841e8f3fe2a069c45554bc502c27591ca3c1dc9e6b1694ba2c1bc0713c1cf738db22ffeeb7443d72d5bdb975d192976a58ab33db58f5dae497a0b24011e15e3256ff124dd99af6fc300d1fecdcee18dd4fbf25e901125d4e80efa8e2a211701b74fd992e63376996994e054cc00e7e1de7db8e7d2898a735ec4920dbefaaea66b456cf6a12324c5d56762313a627b3523ab1e2c1c82e4fbab136ae4395fcf2672a58011d96bbdcf2a7478305756d66b30a4ac44e48b18a5964aa89f14187ea114084d52b4ba77755ba04c34777409bdb782b7b645e93b4db284525e2f9c9c38d73b475dde2251277a2e6c3183d5dea78414e22cc8fb4b2c7efa797cd4a87ac81d3242ec8d2c2efd6bcfd69c39f14b0b365f3151a96f75454a3a1400c76a4390fe9f2e7a22a0cfa687a5bef1c905d3a893b0dfd35bda184f25e62fddc2a52b6a67e76f550abe4cc8d1d63cc8631e4cc315e46d3015c3b8636b92b8d07075d401c654fb4a
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = dae1eba78ad1568590348088aae88c1abeb59626ef65991cd76ab81198e52837
@@ -381,6 +435,7 @@ pkey = 15f9d0d26d06cd69b0add69ece2a194c7453f85796d04a62440d5119622f6ae0db3a0145b
 skey = 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
 mlen = 1815
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 15ed428927a7eb0c7c2dc7a98cfbb77bdd773fa8747b8232a6ec4b87cd7dbce1
@@ -388,6 +443,7 @@ pkey = 448b8e9f9ce85f7fcaf1a2c0c3bbcc9e0ed82fdce983e3ff8cc819dc4a037d843c3516a60
 skey = 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 mlen = 1848
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = ba7e359b1f669783521ad35edabe97141a816c2fabf0ad0e001e21f73ccf7736
@@ -395,6 +451,7 @@ pkey = 7d6e1f0074bc19295f8d43c2de1319ecea303a216ead3b2d9d93a58cedc353b38be2dfeff
 skey = 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 mlen = 1881
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 9daef95c8d5a61d3a3a267fefb9f37d6e677d7ba26a3a5bfdbda8c281be89ccb
@@ -402,6 +459,7 @@ pkey = 87b9649d53376d1011a7a328af862da701c4ef755830bc3d0421137f03b40c0cf329fc10e
 skey = 87b9649d53376d1011a7a328af862da701c4ef755830bc3d0421137f03b40c0c5a7f7c7c1eb1b8caa00d7a92a17595a9fa3bff205067c8ac8f3ca0ccdf04e8a38285998325e8c6bdf1fa6ee6575dd40781a69b0332575871d43a2d4369d867a2d2535b451d43acd55e99de00729e510e6492c91512a9c5bd45581a6073593643080532d4188ca00448e1220801878488a44484c4011c8050ca426210260d24987004c2250347110b1232e094405cb48008373089b68d80107111b6801c264ae1383003b2251292096042122043680c348941084002a349e4864493a828d802048c980c01436294a66c40242ac432919ac8289240509b222010a98d00a70459460de3b850c4242899a865d3c4600c043091902c88a409c828851a359184805091a8519346119ab22990a2610b054d583042e01232039748da384211c96519866082300c24b79162c21111a9458cc405da1248a20040508031a2880cd19209e1c88c21127104491061b89101c6291a18661ba56d5ca4052109420a484e90c20c11220c01024d44c4282244068bb6058a920103950c58028664424c9ca44999186a52942920b760e4c66452c0852000904b247202190003b14819440c5c4092dc2261189925992666e0966412364e1c180559082d5204112224464c006821081013a12843008d831429e12206c8264d13a04dc0064984043219490519447124140c99461059b225cbc651c0324690464ea006890c186a0a064d02849080200e21b30cd292241243449b2608c9204650b02d93802dc2408e12c88d80084422410dd0c0642190089a00865014265b324aa0b201e292640c4470a24069d9a224a3b00c12a40d98184984426d54b62801b10891028c14b99160b0009394285c04860c119141220e5b946de2102618b44ddac40060182ea0a46513242da244455430800441719c104122338214b78422854d414892098571a0100109344a59802c24c20113b76889300d94b400440424640600d3104061260e53b609d924201907469a42728bb48100804118c34dc3886118260a089508cb143222876d4bb05053380810052da4b20921108c210331e0944519396923100e42166dc2002683464d1b9645d9382201c245c1244e1ab130e4882c20a66d99406182b44c81b2091189080a0711d9c25108446181404edb184d20c1001c26290a353298b288ca822c22442dcc22629b44688cb60558b2201043015240059aa6409b4205234090c29451a2b64d24a17bfc537a472c842e96bcfa36529de54849357eaedecef54a3018a0249b3f5711fa3e5dc001994833fe5dd41c504256694eb5b2e0b455341e3f789dc3bedab360ab6f94d54091b06ea6a5f78a72f86f5efa335699267d184ddb3241c15a646fa8bb0143e72353c3f362b60145a2081d37d981cdfe2e95ffd290b9f0334c8800dfbda1e7bae591c15003fa1e75949ce369c9a927899b3af87c506be8ccdc3833ef37220f6da449d5feae18344ea97b5e0543b27f92ffcb854c41171e63fae6498cc2cc0151e95553af2c470c5433c48da3babbac3e1050313ee7863bcd0230f5848647e3384b7a4b0e951658ce2e3a9d680e2fdc542eca126fe849e9e73a8a332528e1f819d0da9cb7d80aba6049c7008e53af4964d629a746fae0c6f2f3f12084f321bf06374ff5d95f38c37304271854c523f8f81b9b4438b289fb37356adb59757f2f77add551446d96ba6a2382d342ea804ccb0e79203fb77c193ef77fed67691b03122dda163dd4c00019d61fd3561396f633910bbe42708fd72a231c8df98743204ad94c777709893b598d590beac4207da850132aca62f289257fae060f989e49ffcff3bd75c9f71e69ea228405952f03bef0e8c4d6de04dde98aac206b72c03623f8b223b56577c4acc5bbf31f6533fe70b5660739c5bf613e69645c749e1d2a6feacaff93db9cc9e09b1249a637652fd873fa2030748df74b2ae01b889452336fdcc111805f3f49b7044e0c033c5cba49c58e5a6f495de5043b8804076dcf26f63b64c750973d7f1276085ea8aed766324daeb1189858f8e27488a5144809033b808e53dbbf3b9772efc532919b4b395265a3df3db276ffe2f95a870934d0024675ac6d7da86030fc7c38f06fa5b7ceff560b58ac2c2588002531774eae9c458a60257241b313b98a7f658f6eacde18a35b092ee17ef4e28a8ee5b360d247b601f05ac7ee8c94d5f56a3c909d818e076943230db468f02ebbe855392a83a0f909c6a26171d1a7e9cbad924aa5a99e441980e9cffed4b6b1d195f174e32900f0a34d1e8db2618bb07ee3f79ed3ff1e0a4078d11d493a9531bcad223d7863b5c4030a76617ca2a573b33a48fe38283194bbca4c71d6cb23698ae62fa6310f76f4e8824e4413d20f480c9a09bbb59879d42e3b898cc9fb791dc80221ae1cee35652761f68c828c0700724f8f93723a65c52f6eda606d8a6d3c2720a82fbd76d4bd07f67758d40712fbe34dc5f12123a4fa3125d5598b096b62345913dc808f4a7df3770650bfc2b1b7526d5b17136066135aebd93f012e8fa38ae9815946cc252e8ba09d4df4b9d9678ac535ad108c82fcc1ddb91e3c3fdef491dbed7d7764120a516ff1ded6356adf18929151c942e99b0502dfdd1d1d94ed362623e2cee241d54979ad7bd9fa5cd9bc41a60f374074d464b5fac23e92d9a0bab544826934f850d7df942c04ff67f7f6e00aedb631a04ca88217b01cf393aef7bc736adf8ba19eebf9be5aae9171614dbd834a93a1282aab3d9840d5616c6678c6d6bf14cb8a247a99bf57813a9d5e4ba860a4a15a479f6118fac3d8751888b67acc19dd1c0911e8462d8a9a614358c1f6cb53ab0b4dc13b48818b517cf9e4be4223ddc7aa5cfbf839d8b025097573d55710a07ea35668889d8f195e3b9047e1453a349271f1ee613250f340cda6a6eeadfe839609bc5890146aac24c8bfb5bfcd7aaf843f689db670804bd50a4979d6acaba0fa327db91b6684df4fad7477af66795baa0b117a7a277668b33f2ee25d6a0e538f6157bb518dc050215037b58e45b3f3a7e87809057b4751acb645613312573e5f4a9b16eb1d51a60415b296b5bf693b5ca4a4f7d42932f04ab845860eb4b0007b221229e4d8ee7a4894cfa09413c30509fa06d7dfa5ce06998a18ea49774c465e7ebbb53670f31a05d82e629c62ec5b88e02a6c9ba331050a0119c54eeeff8c0ac7d8afc6884cad5dcd6ec56917375cf106a5f7bff27aa6bf118bc6b66bb67e6c2ead77e9074fb0a581952843804dfd4ae6854ba1173850d1465967b5023ba5d3dd5c0902815be074f6ea3621d283ba2d45e905965209e644beece90c47d7bee7efa26005418f9fdf73f6ad6764777c30622b761e2ed7f9e1e9e62924c5442ce7c41b4a538c8450e24ed5a98710d992c39416170db54e56b6d537145fb4da9b820a2d718d7fa9182cd156feddcc04a4d7ca20b12499f291fbb8d6bb7fb051767787534771bab5f31fe3542fc6c207524cbdcb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 mlen = 1914
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 0531b4105cb209585f9fbc29caa57e64c2d40f0829931a42caf7701717d9096e
@@ -409,6 +467,7 @@ pkey = 44e7afaa01466ef01ba7d58f8585fb0d552538947c39254f8bec4203490afedb166924039
 skey = 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
 mlen = 1947
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 7f8515aa82dbc9ec8cf1ded5ab58ec0d08cf686e25a8c01fb1109a3c68d19e48
@@ -416,6 +475,7 @@ pkey = d9dbe0262a34fd4d29b60ab6fa6d34fdb2857d1722dd9f5657d84c7996353fb87e992ba54
 skey = 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 mlen = 1980
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5af3838060e0f83352a75a0ec4ace2ce8ba119bf89f34cb4d6b8e27007cae7fb
@@ -423,6 +483,7 @@ pkey = 247c4a88615bd55d4e0cb9a2783c201cee004f9801509ddbd831f5dfb776b5496a605ec8b
 skey = 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 mlen = 2013
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = b323d48b567f7effffd47a7c9abf0add5f11141737a8af62b56e042ee498ad6e
@@ -430,6 +491,7 @@ pkey = 6a3dc0ff5041a75e88e10871b4d438c0bb746c428f5b9de75163624024dcb47ebdbfccf88
 skey = 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 mlen = 2046
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = c1cf3107ea9b283419e27dc563ecce950bea78c048a3f49fb42128819959e51c
@@ -437,6 +499,7 @@ pkey = 837eec4689b69df4925cd36db4923131d29ac3ac1f4b0f055c8dd6d73e3e952db9299ac17
 skey = 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 mlen = 2079
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 56c0b7c255a1757b9b559e2a535c9db077e921f0613674adfeba24867936d0c4893ed7cb4f78db22e738c41cbf1b3d30ca22fa6d459c531894c7bef2d608622c3ac33a53b4f5e01b83025a74df6a9ac8d16a923b0723a495075554ebb412bcc3a8cf13473bc40dc9d66fa929cd7d6b0ffc655b137bba2f796801951a04961742027c8999176fdbf7113ef46020559fd9131ff1dec58839645240929ecdd799c58e2c79aa425e46ba9eebbad71597d85d6abf7f1c078aa79ffc77f39f4091380ad6d94e509a720a9079606e6b2bba92fa99f50d53dbd5972951c9bfaa7f26db06e40f56fed1de4e9f91f3699c9402d8da2766c8fec34e0f40ccdae46e6cb3492d5d4f07bbf8e053df78d081ae04775be9d45b6f1d80500c4eb3ead235eb60c52daa61121fe41bee70b414bf4e34efd6107a04ba725e5fc46156b0fa19b421bbe631270fdfabf1c1cc33375e1db75897faaa2a17859c1382e8db3187cab1deea300a51e21e2a6758d4867d200ef63a4bf0d7558dd7b795cb16bf925fd074144c0064e71872f39705ac526640619ff2b8a0eb28e69d074c08923d7065c987083aaef95cb6de63c3b1fdff34fbe84d24990144c95465d69aa384d87b32454df7a660101b0c2905efd072cd700777e0c789b251b0c62f27f081b17e5862acecf22bef4e982cd3fbe20d22f54e831582a5e0f4b7f302ad4b8529da7813f96f44d691f5249206a9a44c55faadd0a4fe6394709078375c28e9887b9244f93458a62b8225810d79e7a688f9b102ca6c2c15d69a147fd0e58eb3d0d9a4c5a33ddd684e5372608e60769eabb2063e5e15a80c51a5fbf2979c2ee7d1e605ece6778ca77a0098aa29ca8411760c885e3d06d878986ebf3b336699286b1c3069d22a2e1430862503ca2fac96b5f525efd467af1169f6e2f173ad551f96bb692996a442b0ffa3812848d8bf3102cb5368a044880829708418fc5f91f8e64e254e5c6ef03df06bbf5a1b584a84285576bbc730b1f955a6737bc1d1cac6bc83e880fbccafd73382fe79aea68ebf4ee43a25cb0f254ef25c583c2d153896b936b0823b17069e3143d686c147480e51e5b7a37043e96335a7e0ad2667c793a73b964549efafec9bba5320ce9bf9b7d544576f7ad8e7c6d26290ad350d4bfcd81236320e207aa5dabedac951b2c67ca7a202573bea79897d3c497b311b75839f2c91138ec30ea888d464cf71348c0577d0be558ba09e16e95af8dc5eccd36ddf7f6836a54968f172f69da890bdad72f32ce0e170638835a9a582da28b1e3acce6df235890500d5f25c53f5061deec6ee74e90f83eee9ce7b8692c6073b04a479d0a132fd8c8fc594734cbcf73f7432429145e22574be0e886803bd8c91af15f631d90a05a3badeaa9eefadf97bcc9f01d8f9f10645b432913a75c9462367d8343bcad4300162ec6ef5796c2b14119cdd2f5da143cf112adbc94792e7fcbcb3c6644f11669e0a639928907054700cc13febcdcbb64c7542ffcbba4fc9215fd27d5b4b8b694d4e3ffa8c78499e56d39aa4f1da4c0052ee06eeac090bf34c266edd60d682c5ad67c4938f238adc0f45a8c65bbea97dd2e4343c510b632e48dd44d2a3d3a09a7f2976e3150124d28dae83910098faba474798716c7dd3efe7a631ff10c3998b1fe78ce2bd5ff70edbf95e72b6969777e4276749710297623872a8de274fc1a8e28216318a53b9b1a3d7fe3983962652df7419dc73bfe3adf13b284d31eb20b94c2bc19a073e51fef388207ea9d234c9268710e5ae93a220b2bd3b4acbd2dc8a29358ca77c029a36458f1b3d59130a403853375e8f98a1ccb96cc38b5f43d871af7d71ccc905e928ab5d73099040eca9b134779bec32161c13e32cf30f3929c31ab8149053a3e6a9e28aa9ae0d50f92c977de4ba57b5e4ff0a914b76765d495ec4afd0bcfaa6cc5bd7c7852ed694fcf101348f7c4cb7ec43f7136d0c8fb28fc6348a3b7a9faae50384a418f5468c758529f3febe3af2023472b3cabe43d55f9c673507597d6b34b17a5d3d232c75796860098dc698e0b69226b9dee5a3164940a17211e842091e887e0ac360dab2f2855286fb0257a5774240db98ebe71de13d8b4dbb8a58f1f741d4a48ee694b39d42a06deaad7146555d09834ce5eb43d5305f33b81e2ea9bc9eb4a9cb157d1525b8fb13f63a1d70f885e5a0f07a5ef286ddddb01ba6fe5b3195194887d992a584a72e59578ac4276878490a09fde219cd6d0734901a00066321c36540519d4922ae410d977d32b60d699449b7f251c6666bcf271804cba6d0922b98f9298aef35f652505ec5fe1865e4ae4da2507638c37ee3f3eb418398a704aefaf66dc702ea189ba1f0e47273b0549bcec91cabe27256bcdd3c88dc612aa517961f8564030033b003a22d2e44a8487c8df67fd5ef7a510c43cd637465aa74452f6bf90ed462a3a014798285f464481422020788be1eb16365f6fa83fabcc36eceaa2c3874d9fdbb41a1f621aab976b0099ac4e944adf9b033b2937de0ba8c622e77f8ee7da783fbdb5e16a1ff8b06d5db199c9a08d16bfcb38abf10de2862817ae1ea2ea9f9fbb5a28e8c9426ce3229a0ec45e2d5fe3c3bc93bd92064f67b8205a23579dee7d4808578307300150c2bb8c221914e02bb0d18dca7b3a0bf95bae65881be6c1beed35fb76e49bce9240033ec2ac2f70487236e1f1dea3fb0bbf5a8d77886615835fe0e6c5bcdc6446b718a6d9402c492c376fd54cdca02ae1950dd1e9442420048da0bcbf49b06c57d872e0d7540f7d61b150ef2cbc4f9b4d9a6d51b39d309b64ee1a2cc19317f4b5d1a92d204c0816b545752ef9873615f312c53170047c1ca56c6aa4b56532539c7119870c4741a17243f396a5159b1e1bf14afe1c74215c447e3e42e72f3157a5e2d46fb5730c43d021bcbf010dccf7231c53d64a66d42387e9e38566d659ab62125405c76ba4d6ff26df8ebeb18bceab3596a227f0a2d5b52e5d63e2e710157653ecb903f66d9aba29164ed127d8e1dd03b648c87f2eb1a1a8719e729883d88b86fce02abe46f56a64b8f094da70d4a3407fe716b583aa8b39dddb6b01391c3259fea16e95a389d621a8f98ceeed768df8109ec435b6bc18579221cd3506fd57b132e6f8f81fc1cca55a623d74aca9b98ad0479ec36c8ca9ef9c3132b7b8c4ce8faa8aaca3820302b7cc28c8ce64d00e8b023ff2e2cb6e76a5366d73b333f37058e251e530f57b9024e4a2f0e8cd6528c2246114eb263988ae9d40645e076e92c4cf3f560a8764819bb3b97d1ec5011122742465061727598d2d5e50f4f58737c7d91979a9ca4d1dbf3f8070d2b3e51535b5d6e828889b2b4d4d9dbf1f4101c4c4e5e6e73808ca5c0e6f600000000000000000000000000000000000000000d1c2f3c
 
 seed = a50fc40f0d9efa5d254943dc599f7dcc2f6d197a4d2666d5d69cfaccda560817
@@ -444,6 +507,7 @@ pkey = 77f4daa54d8f3b52d07fbedba484684bc89e2289563d34f4e9b6b4421c802f2bcbef72710
 skey = 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 mlen = 2112
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 4c0f0ef1ca8073a562d5414584edf268913d53d5fb39fa639e02e900891ea82c
@@ -451,6 +515,7 @@ pkey = c0debca7fe579c205545baa954d756ad0dcd766b1e1c1a19625e5c33dc942f2aa473faa94
 skey = 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 mlen = 2145
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5ba8ad9b66c93cde7e7e616a97fed8aa91bc7235fb4db086cb4021877780c6b4
@@ -458,6 +523,7 @@ pkey = c5bed41f1d4524b91b8c04d0646a6fd5e53a8b08c837b62e9d94f795c1cbf62e2088bc7fc
 skey = 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 mlen = 2178
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 25d957b9bf68326d2efec93da464f43e3df16dd6571ceb1ab68bd58e87734a51
@@ -465,6 +531,7 @@ pkey = 6ceb15467f0c206bc58b642c4bbacde4406959b6b8a3759a2ffc8cd486ee0ff693616f69b
 skey = 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 mlen = 2211
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 24f0cd3b05d964f82d3702bf0a613139808d49283286294be57e13a983c3c961
@@ -472,6 +539,7 @@ pkey = c702c4f190d355f9c9377128fbb818e39658097e04aee9201f7065ac5b27ae6551c029532
 skey = 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 mlen = 2244
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5ef2732b63a1cbd2cc239ea6fed62f7feb3102715a5bafd8c83aac33702faccf
@@ -479,6 +547,7 @@ pkey = ae58c1a3facd6972f42739b7921602e51577b7ca885468544b000dce43b36e97634aa7775
 skey = 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 mlen = 2277
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 6a27b1666ab6fc4483d14cf84ede49fedfe05bb24e008ae8a01c52d83b8d40fe
@@ -486,6 +555,7 @@ pkey = aaade0bf29948eaeebdb3a9b5bc962a7729a4026e79929a457d5488d40985b29a8f25807a
 skey = 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 mlen = 2310
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 2a855572e7e2add2888022bdb585b61577a75a31aa8acede59acb27eeb2936ae
@@ -493,6 +563,7 @@ pkey = c435ba9281752ce4731430dfa63d4c05280227a9c3432949d6ebbb7f5327e72bbc75224a5
 skey = 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 mlen = 2343
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 7967e9de70a7f95e69371f812c2fbf932cec07ab4c235ae9e8a6799f3f537d36
@@ -500,6 +571,7 @@ pkey = 481790f5476e7fd342d746c51113c172751930e51fa565a304a1eee2e2ae7f403187b9dee
 skey = 481790f5476e7fd342d746c51113c172751930e51fa565a304a1eee2e2ae7f404d32212f5959a268ccff8681372f0e601e67b73c867144bb489f6a2a8110d046d3bd99c95bd75160f688bdd39198434036ba1c0f1976496a3f5e9423516c96ca04cd5076c5dd4ba08ead5635e2bebfe6579ea2f8a52427bb8e6086595091ba8e1b47610248301137810a076200c649483810a130888a245091207298408c59868c11398ec924052396051b381001b331dc1288204105a2388d228348db188e418281c9364ed1402c9a30121b2365190290130011d0108698c009a4b6698ac280521011991600814265a41210a220651127855c28699308512042284c1208dc2270c2864551362e43486263288093346010324a893284e20084e3424219a80c5a320c5c228a5a064ae0a86063380c91402a11a429d9444adcb86412446582420662362111978518416a1b136a4c000a0ca1841039860a23010c27058b10281a186ae14028c8246680a021d89800e43882dba69198840cdb948c08171120b06c223246c02245a288301b068ec0446418c58003396c09912d04c725d2006ce4486940c40808868493c86009268293c84c11812c412288501629639204cb2451134904c9988c0c992101a36564802dcba23058a20484428009154648084eda221262b60c59986199022819206a081290024811a1844454002c9bb84d0a882c203910c0a48cd89289214048e1c2294a0411dcb248a4c04121b82810886d5002880c922144a628522009ca422d90a07121c06404278ac836120c0229c132862139660417610086649102080442529a128863106482b42d0cc36018036504160549466601439004444581386dda468e64480ae4188c18b78942084990344123226063b0609448901485918c069202a9259c02624bb600e34000128484400066822492d8a40111126954142d1805496000251a1969db122ed4a820e420829c3830a080218c004c1a2326d92632c2108194c28d50002c103820d9b030d9981181466a183426d1a82542a40d88020ad02890421010d820925bb0000492895c380a0a3010121686c34621c294504a90102130401a1822122572143726da300e4b36402047919b063098c00519130851166241c444d134129b224550c84052a86c613800c220609226100b462114444ac2a40500463282449119c868e41822a31465d9060e81006c22a1919a4089dc94454200854182694b1466d8928d44a0450892040c2588b9207d6a2fd562fa4b1046a3c8170af5d54199cf04c65729d8244b93b257c360d71665c057a159228fd06caa191aacc75c155a0c7c794be2dfd34e604686bd5901cae531b3497b515192882110242eda25378824e2d1ca5cfd1cfefbe5eadcbbb85bc863535d36385ceb2b1a9be8327986205f41ad2bc02f9bca40b27dbfda0f44a1f125be04c6a9e185ce0c1f9f10db178e14bef83ac36c17b89f422a07dd7e1e6cd8ea2b85455ad144da0205dc4e897f107ecd8088c4912add3998de6ea4979860f1c944261e4ebc0a98623a096c309a252352c86b95ada93f1de25dd0818e7d374332afe848f13e160587f765810e075123f484550aa02b45c70a2bdb23fc860942445c3d129d5757ee8bd6f670b998a3d414631ecee3ca0cb8c3e8e9c6613d12b909fda90a5530d4a2d964420ec6f138dececa6ae568bfc508e0c8d5875494e2a10a5db378d4c0ba64fede2242b24448070a5fa859c93d568674335c0cdf7a8e1478fa55413a392ca8327c73d13f6638786f8a999c9d756e1a302c7e6979878e787daab1d683c460d41f02e1046897cdd035f2e9aa0bf2f2011f2f1e275fbc3f09b86bcc97e1c8e59cf0cb490a489eb3d4f3bec2cf75e385e9acd13ff19b9bc1e73d98cd80a4d5957d884f1d2a95e9f51b216d4d107171338a71816e26b34262a0b3bc8c96be5b1f0d101616766895655b61deca78a0a9b2fe253bf4d31fac40707ad01406ff7f356af5c5b210d138f1a15d6e58ade30270cdf7e3a66b35d26321d190313d8e662c2079424e83de63e54b4e2208b1b26af927784993be12ed31b7d34bd6a6e08039b8be85d90d801229d7942ec122daef0a5722b9548e27421af41514c6d585f9236ad218b79c9beeed729ffd077e2af0d898e081d97f4b9d866e3895bfa193faebec330bd47fa7f3243758000de4dd9da09a8bfb1ca9cd3f23084562baac49424456279830b3672cd826ef59bde497edea1a06add54a0291a55294071eb236cd6b3e859ff73e62d9ba911de86c0c3148ab6db59e05cb9734c2d3675ee986cd2cc21a497cbbb323045621002eacebf501fb068aaa51b85c52cb87b4fc222c572881ae9609c92c931b3e977321f86bcb77fbeda511328b437918b55d78d952cb808644e5d8c672d7c62d9ed852473188baf7ccc260644d42c0207ac026aeeba318fa1586ee36ab55885baa6f8f1c73e3dd9c927418b46688608a9812992a8f3000586c5c4c8800a90be90914bf80ab7ac4328b7b865ec2c38532b086d389935a9261ed6e9ee9b9873306ae645ec3ebc0357aaad5534e7aa4ab26d5ade29bec67f92c16cc13204669a69ddc8d8d52a9364fde155255a96d4dbd9cf3e7b3f8350f63ffd71197825c120d3f86806bd8511e321f44d0a9630911f199789c177aa86e7d421f81ab71e35c6f136345cf0c4eb871061f8e1faa07e4ef2030d891c81563e99db91220f0c2d72ad7e1a74e4fe3274713a0647526ccd9a4fa4aeea5c22c23fc51bc064c7da6cf21928cfbd822f55a21a8074655d7d28122dee5f29ef48b7dbf0dadf36a58fb9ccfbb81327c94693cb93d6468ad5d5390c1f4dfd5acc8c49cd7390c4fc7f3f03eba1b44886c59871202416c88229883dc9e021b13475f9d63717465b79102b9081b696845380bda0bbc48215d30eff70fbcbd996358fb80390955b578e6820b4ef3c66360464f8255fa5dfd3f91ec6e494c865ce8762a5a6b01b197c552869ddeea40ebd5281ccb068ccd7037360ff5f384f4a23f28d41d35baa7eba3eac7e964365da3fc3b9f5a8d8d25dc6258f93731737f5b39db41fe0690e7388c024b97a19832b551e273a2a592bfbbdae25078ed9050445b17ef1693c7cbdaf89ff9739fd92ffb6f7a07c307d00819d16057749887431e6fa7108bc62c5c92fc9e94b217c62b8ae326605901a19f81dbf92796c2e72aad6928ca22df9be59b6f36c47368b3da6968321fce44cb0782fd6eefcc43ff6fc73366f59798954832b1d1f334c5081332dadc51289f1e375d5807197f0196a42031c5c5870ca26aca84f3fb7512eb395dab77307152e1072b8369ec902c53a2ba05634a32330b1573cc67a33821e64e13639cf0b58596df2a2ed6fc16f1555293d3f9ba3b0f982e8866c8c4ba117f472b7775825dd4f0b580d0df89f012c5889d39834376f050006b03f73bb74d5ad3c04faf610a5b0fb5b7f03cb6ef8e85788ceed90c253a5901a87a0389d6498fb4ab31da54b5ac2553e3f099a1b5874809dcb8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 mlen = 2376
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5aba340a8e541568fbef49e77f94cfb4b3a5e9cf14c6755ce6412cf86cf62898
@@ -507,6 +579,7 @@ pkey = 40a0ae510d93a5bb64f6d765f898a368792820761d76a6993d754fe4e7fb4d5e7e7d8c980
 skey = 40a0ae510d93a5bb64f6d765f898a368792820761d76a6993d754fe4e7fb4d5eebf21059aef7d0b6e34ac718954ae51c6d29198383f23233f6e6d2c20341abb032740457d2e44ab641c89200960d9276b75326a35f9030cd36edc33f570d559bf0a06c176c187db633d6229ada15591661e4a1c4fc01387079f10caaf021869ad3a88ddc002cc4a26858b080121562123952588428c93220013830d134211aa6518a208ec3a44d59c8015c8228a44206632608502660d2088a4c823121824003307018a38dca086411a6248a280c5a406941482e4c164a19a21142460a40240c90c029ca34450ba37001a791c4148c08b301600870da00400349245418311c4586c48865103866d1c4502337120c246ee0b08008c500d1c425c2268dda860ca0462ac3a62598966890a481cb1644e20444c30252dba2894cb04849984d1ac165082108cc024c02230ac3402d42066d8a02001c178680286248b4298248211b10454b80089b2225d48249e1148da3044cd1828c1a3305cb38490a41801a10690bc988e0904402000c1a94100a172984c448e114690b818424c32804b830c1a45199b811244125a130460217120b050459b820d8361209b82c0336441b168819b98808b94ca3124c44909053025002125203c47113a22cc334700b1002db24641a44429036814a8264192204143548e100915bc88dc004700896490408210ab670013061dba04544287249206e44244488a600510650933201d0360819962103233042a4418b06485a3481cac868540424e4c26949a86519228414280420397012c4098bb0448a22620c260ec4c47119a23151c244a0188e0033041a375184328894866c8a46720b29050b078a0bb2219a222e04416d9bb6650494105026710b130c1bb268c0246118042401294c1b47458b34700cb6691b890c9a444000325014c181082282543804c1a6050cc391d2824914a748c0b01004243118275140a6891b096ac496900ba0281288715ac68000932408250d91168609c5299980298ab8510c4969c9400c5c388184362640a450d048121301919a903054086144360d48284d03380011844c5296810340818804529bb049a0b00cda30681ab72d4c38800241305cb21014a51104188a2121045818911b4311c134904ab6010b888c02128ca2327013166a03b94588802908468510216964184d19132e20c60dc11684da24410a448a5c282e9980511b168211b45009224e193409234764e14489e3245208c649f51b3aa51e4dbb160f4bf89b02effaf1bb92821b9e0efb528c49f71dadf564e784be93ed54de73d21c3abd357abc24678c43a0e48d8e98e875037b5fbe1422ae5a0ff546eba46297078df4ef2d6d369dc02d948a7937bb1779dbe731f10c59c138598eb7dcaccc9d3fed4a500c791685edda83358857c9d21b1542b22a98571c9fc9a5c802c16188c369b0070423e8c9598e7aa919c1078b92e42d1ffd8e7844cf3ed6e82900e192e9bad7b3de87e1f407ce9cc1766f87fd2899ed8904ca7d4b41a1525aa9affc15d627d25029e726edb46b0ca4995e87379172d9238a108f2a78d06bf6c9ed3207250f889f56939a424d678980f10e8f38edf2b19f65d8e72e7f79b707e921e5938e3e7ee1d14615f3ee0d09e8f612e2f86234233243b5e9b1fe33da635160c59aed839895096f3662bd3a6f1d9ccdd635183eb7d6e9af3936a028d8450ae6c1071dfe2fa73ac91ba6ca209513dd7dff1579232f999c4a8b51e19d0f6b24f9226b45e3e00987f2e4515a7e8fc30e94dc0ae772e6cff36a566b44641e07f9c1a7e14731bdeb6bd3721435a7419fadd7b4a07548c0fa1fc1180abdc5f9d4ccaf552fe85f3d6c73d12b6aa90009858a4571d5e1a52d331ba860b9aeab641dc25b5868048ec59bcef1182615fef855878b8b6bafb3f4f7b989e10e4caa042c24ade84f8c3d29e43d89ea4408e5403544b8985a3a4adef47a4cbeadac0c67f4f38edcee86879e530254d71deada09e44ec8bf64d287289ca9f14c7f474285dcc78f6405fdc4af997b980b06f4f9abcfa19ad0ab9e066b514a5aba98b91283de3fdeeb09039dc9da14f625a4f6d1ee83e08514483af4031864d85e9000a52ef174dbd781835a9f6aa61f01c6fcc3f27ad5130cf2c95613909a18d6d1bbc3dbfbfaded30e6495a8230b60e0265b4934e992278cc0842e376f1fef0aae4f3be46cc3f9fc8464c4663dbeee06205f5dfee30f4cb7f249d7493fe85ec67a89b0e1dadcbf365039eb5b2172c167afd922a8b043e8f1cb610b30943fde8b7cf8bd6a00de3c71cbd5d40859319550755a10b65a09db7ff72f953c46876ae48f330a7f1ff9a850e1ba35ba472c99bd377fb897230545b467655c298fd1814e425bb1f6b791367713c3544a9cc39e01863b64ee1c02b22b2e391f6391f4af7008d72c4efa884acbc1d2b795583e64570bdd0bbcdee1041ebb4713354b03471d3422c4494fd435b277070faf0e901af16aa67fd71063b0cf186c7c34c149649d5f80574dfe89e13415ab57a4ccb1afb64901dcf7330a73c9e7ae70fbb54a04f378d6907bf0b3d19776605c453606d87f8617c93ad1b64d730c2342f32e8ecc20bd96f7f147013ce0590a51791ad65ee7851b3eff070ce4d4b48c18c6a02d477039b46a503fa267be0925dbde98ace176b482d1e2dde2348c7b784865ffd9bb8ccbd0e11311d79eeeb71ded3200365fce118ace2ff88484a3baca6e2c5667a7ae03ddd341e0207e68d12914c96383d6d5afdbafe17df223ed593c2bfb5def075b8e735d9f8da0b8d04e48d51e67b62c9004edb8d7fce562f3d9052317be9910bbd061a096ccde1a3b8c902f48d5f93049c40302fd5d117145a0f1987fd91d71871f3c0fb61e3d737ff9ef73fef4dc9150b70aef22b2057bbfaeeb26248a919f1676dbbdf08d687194800fe46267ed42e0fe0be84fc089b9e54e383c585deea5d235d947201620ffa05f19414c1052404c2a926956cfd50229e2dc832173fcfb59e8281227a23e9f25a8b9a1f478b15e714811f97fe7c02938263b5008aafeae8a13e319d0b9f209ad19c5cfb9322edcfa5859c8ff75dd7f61d9e85385787d99882f7262c767251b78f354382222ad241eaacd60e2c79a25592e19fce664a553b1f7da5d0edfcf1a30035b138c3b371ead8c09ed2e72e521e6bbf27e13b42bf34eebdb8167370e6b94af9837f1f95e285ed5e8bf1401bca4b684fa3b0ac445bab4ff93f39f8622afd8b9dac128743f991c9e4c51b31ad3a65b357bb2090627d80fca87b4fad2dfeb3aa0aebe151cc4e1c0f04fbbb1383147443a220c527d4091c9d7fcaca00ec695bdfc9dacda1a7f4d9b947ce42832acdef4516ba4f894566c9ee028f130a1ffa15c1003c232a9a35ac0937f9a05bddc8afbaf34b4c05aa06dba0230f06c71c3e5d84cd5a522be1f014be92a2fb7fe984be117ce9c65ac449dda79145a845f9468cc7540442a7ea224f224dff382bd3366d79b9d96ee84b148e09222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 mlen = 2409
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = df4853f482cc1d0b3a2d71e9eaca064e57c5d100df79bd004ba81b43eacec401
@@ -514,6 +587,7 @@ pkey = 3a2793dc38cba2f36db066f8f55d7b6729c195aa00e988511ca354705c38e7990554d6e19
 skey = 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 mlen = 2442
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 39f6c5942185727b530aa26895acabaf42c19713312dd090bdb7d723d6ab82b4e131aeba617ff6728d1e7b161c039ac2b33a05ae12338beaf192663a5df26a04672746b22bae2e2681b7fe0631f1fa437d699c568a0838b16fccb95f46ad8af5c8fcd482b28ac1b9e87ac1801adc7c69b2aab1390c6bd8450c19621380f2d9215221d883e2fe802245eca25405a00557fd66cf4ca4393eb18125eee94778868b5d72b827a81356015e732cb5b2b779e02f6b30bf1174a0b2dcd132e0ce9f7d5af122005bce9a92826bb95927f5edd5f6bce50246ef8fa9fa0d0b5650ed49205b5ca7e52a06aa8948d886c1e6e5e2adc0e5b3b9124867a172944980bc66d16b2978f53e12d628dc9b02a423612981767642657caa099f48ef707c730ba923f776012f4db16ae666100edde1d3d33f7020e4c0f499ab4c4b79a76f006ee79b90a59c6e191581db69dcb0d7c9d7421305362e450f210f1b5ca17e36ed1f6038008183a04a1a4475e45de4c3df5619eba79a5cb9806cb208de7bf055071ea806bd5e4a41935bf1980fc6c443d5be848c2fd132e045777e03f09beca2af0050a18b38338583a2bbc5ee4864e1316bd6e46ff9755e2ed90797570e5947246b426a87cf99b1b185a5cbd4794fb68a6bfc07684d1f113a283b29f8c4c4ccaa94805bc52b72c873e64935e5c36347d47aefc39208b4fe0d33171c5974dc2f4952286773f4a3b6fec18ee6a0e9f37f42e9bafb40b202f8c75f977becc659e2a5a95708b426612282c008fd0a7bfda0173b3e20729a337b19aca0d709281354b4559fdf99afc9193d7cccd17c804ffec1e84d9d8767ff3a7c2f58a5d641ee75f7d4cb3d9dd093601c38bc3664bf8ba94ff277af156f3d8699cc802469ececce639a404a166e88bd73934119e0fd52988220db91e403e84e44e55b6cc09744f61a99c184494755b3587134d0c085ffae22493bcb01810dc6f9ade5860d4cd7069feda3d8a4a6798d75fab37fc19226cb865f18630be7677e10379364b6b63dd4eede17f0dd53fa88008ed5c455ff77d156c6f3468e0471f8423141ece49fbff424430d2a7ef5e7eda5e5e938b18820200643f5d08412301d5f25a6b1bb0836e7979b32aa18c991ecf3c069635c63033bc599f5c10bf8647807f9756a484efa14fe1f86f060015d7940e8348c23b3d0d724e8ec8f8f007b0d96d01a6ed894dac20ae1340651fb5a40e3c4e76caa2db271e1792f719526344de35495271476be8dfb98c3dd07dd25cd6a2a26ea2e71551e11fcc69c4f5327028406c091bba5f15596399557cc216b77438d7b70de3891df8b302e35835a22db1c6d0fc72536e2c3389f8ce9f36b8ebac39321c9f518450db26675f5e1f233aec2efc1f234616c43dce57c2e26ac8639aecf67f0b502f29d62091127697d2542291a9680c1000bc4fa1f2f68deabce9d62452ec72b422fa55a55b7652d6a0b09fe63425a39c5553f0f39e89ddb72fb3ec38181e4f0d1dd9eb2f8fd6152a9b082f4619be3b197b5199f9fb85996ea61e9603c1438414626a7cb4799f638e6f35d14add7d8166480c46537936083c2003036865116962144fcf57ca4073e0120407eff21dec85b8ad19bcb1df38cb63defddb7ecacfa6f84eaf090385f1505cc7d67605d3d17e2a8a889830f428d9d2cff237e19c4ab320bfe4efd45af9bff33873b057d7ce89cde66c2d2830d91c41bb7f7ad1e159cc5225e16d9b423b92c755fcef3973eb7b724e2975a2c29235c1cb70716dccd58601400efbd9e46dcb7af5aa703c882d29b57cec02dea80adcadf030b21eca46fd61731a4498eb1ba70150fac19dae73070ebbe1f87df7bddc58157b73140c27ea0b875fcf94bea29da9b176f5ade6ceef732a610e581e949c0b45165420b1826b83fc8a4692fc9bd2c5abc9171f07b8a4f1ff505aedeab74c616c39f6a188c90e77e7002fdddc177d7a369b3b712dfb33d45988a80f3448af693c08e3133a3fff9ea513c7f21a9a4c5c071b6cdddc1623c95c1e70417e793b83287d79bb6803b50907846021d02593864eef3cf4490f08a8d1c983c7cf55759765112b903bd2d21e7da03ea3f0a46ccd5d4d5f5c81f66ccfc461f5b4d6bb8eb8b701d240c99ffed8ba36ca9dfd78a065c086d8b61e6b48a91c3529841dcd3a5f052c0e4ff46cd1f4d3386f5e538180abffa4a9f780b8bd288075c04cad7f08bc4e27509a76a8bb513b49b47cef70dce19139861138b3d9620596c8a07770da234b0131de662bce27abdcf34ad7f184a96a2e7176b9359ad151a7d4575b4eb2b822084e03d09f5d443a3102db543862231cb10127392d15cd51992a0dc4cd5d139832d3693c99a93e4b3b998285c65f2972b65b7a06580805cbd21ca4d7a2f31deabf8be9e3bb2c2a47e4d9de359508f5f09794da8788bc19afb526bf6857e8ca2091a937e8241de3b4060740aff991d8e7b1e38790ef197b420196cbd10de6596425dcb39c52f96cbcce74324ebf5acc94dc5e5c0568e894e3a607c8ac060244c074e3104054cd6cfe4016ec4262a51338f75af3a9564992c9302030198d1c83112628b8d805bdbc9c823181cc38fa8a37dad83c913b13f82b56ce06b886aa997b9872697be78aa87126aeaecea0f7b3154042e925b2d4f0c3a73494c5856e14754835472aabcd520626daf9d99f91ec7543334c732627dd702cd86f3049634c1acd493970cf2fef2e3b0bbf276d2b646d979e91ba829b0be436caca567c5b715135cb7a1946203510b52b4f19ba9efc5ecabc1ae4cbf8b6dd10e4782b775ca864f60c51a7ecbabc8966c9a9042e9cf304098464821b2046d026a5bb2c9f28a7aec48baf67d37019c3d03eef90d3a49986f2c067952d8a351903bd8aab729bcb20a046e561ccba8aa614ed33110b3e050e383a6c52d03136aa1feb34fadc17436ae6ff52e61dfd1fdb68acd594a10a2b6d6e922a89587104c246a97d9089c2cc17f88702b82e2b136d849f62dac556bcc0460cc66d5c1219e20dc5871c8baaf5017c4c2aaa7f8458479af2ccde796a6152ee933c13a3eed09987f6e00e1de917c0e1beabde06d2c38c2588a383c7fbeea59ce613934c32f4f77bdd3cb693c55b4ab4cd4327277855a6f429f0cd7791426a84e322965d13a46f2229ee993e3cb0607133f9116086fad5d8fe2dbd74ac74d2dffd68b8935eae840c6fe54694eddddf96fb7ec46a6aea4baa27a91fc1f83b50c8edb4202d6d8133d93db13e0a867e0878e2bd2852ffef4b95919c1cbc0a4cd717656f09447b50931d1baddca3912051a1c222f37454d537376797b94989caeb2b7bdc7d4d9fc0517606266679195a3b1b5c701183c575f747679838e949598b2bacfd0dfe1e5e7f614181e24252d3134464e56616484a5afc0ecf1f3fa0018243a4f
 
 seed = 95da16b844baf559c2cd6e68b237614bb9927d90811106347b5849fee2f48640
@@ -521,6 +595,7 @@ pkey = 58af116eea69ce1a26e9d30b703d782fcc5f29a80ee143cb73de30f664a8ba4e04b41b0b8
 skey = 58af116eea69ce1a26e9d30b703d782fcc5f29a80ee143cb73de30f664a8ba4edf6a7e98be7676fa67b0908317aff58682888e7e7482eec1955ca4441d34079f5633f2bcdefe2bfe4cf955adf28fee9f24c8c4db4ab1bf2e3d006a0051fcb50a177d9188116519659b8c3b02ee5bc6fe797e9f5f686bb307a51d5b268ad3ad531086284c426a6122018a18821328260c159201370860244d10178154c471e13412cc34520c152641420908486aa1162c8aa264c838045c849154822ca2442de0c22980c64c49100e21406141282184c468d2c08d0a942c4c984d949225ca3441244690d040084142210333015820121a366a1a05518904051cb32d1c324c12b3604832911c845018c4301a120213b13160484524b38514298e9a8240928251d2328da4885013252583b64423c891883204cc32929c405201a769e1380524c32c82868d24152103362a2092250418860b458999a6855bb241e1241143365202c88082884d0a012c010512102369d0b08d91c24008074680322a1190915202402010420185682036701c868de1b4001b092022398181c80c0139441a2726198021923465210811d21204a028861c018a88c448d1c20401266e20255064a450244469492624a0486e9c4089db286084b408d8806c5c46006140045a24519a203199c22d2303002024018b0642e196914894801ba9002446716324094a166898200101230654842513c52483c24001c22849307118874cd3b2601c366c6124890ac91190168653c67012108dc3c871883021e2a64412c040d4c02941088e22c60ddc322814a04ce3285204264213a391a320668b86001a3808004831209909dc348a1aa42d19014854268e99c26cc2488ec022858b846000142804367263822c61882104014d9a144c5b860d224388e38884224001ca34051497600bc68402438a592044d0422a23448a0b0666d2983044984119b8019c265161106611274918444220368893447018440088947193b041c8b221da3406d248450a461180360802948c0ac2800cb671490691631812d2028618402dd80668d20826a3a83011c2449110715c326d1210721a3650d28268c316306396002304509a424203472d4b3271d3002adc8285832869133632ca00421a422221022a18376548006c98446d64a04484024ecc906194244900956889286863184649a464d4c02524024dcab60891b04080c25150406144882102322cc4a42909346a83b0000c91491235088c482ecbef49d8d2fda2644b52d674bb0f5e903f81432c0c68aa5bf9acc7107d5b80536ef2aa0aefddd9d2f437ac1445666c417efb2fa101d5888703db614292109b7bdfd2c91112f3084ede6a7751a7ea78f680f6b58003f764f0730e47d5768622ccb06dde380520d5449e476b2c7732e382565278ba8fad1d515f06baa2eadee9c62a215b14c3a6883d568d099c76387c6c7927c482b72f7449656cea686b1f2f19a8b1e87a8b901b1343a8e8ac3b12a29f242221ec383e9db09c4313601c6be40ca2b6472bff499ba822989f17102cf9eda9167aa5db6cd03313b429e1df29a57031d62e5140981da999964ebb3e6be509a0fed0a9c89f92effaa2803b9a34af0c2f978378c395512751533ca0bfda3942eec129dca721f8303206ba0bcb37f793a73dce7a105c8bbb2158cc0f0a793ec0fc240988ffff9fd0ae2eb23c0d041306336a576a60c6e38427596b0e0413e111f24da31797be77eb17dee42e4fa2764eed4afd22e8fb8b312c9edbdb81bc31fc21f43d830089bca3c888e354d5fea0e327620d5f635cdaf65ac7091ee04d6a000786d3bbd8496674f63724a90e24644effcd0b5137269a990d82df16a3ef655596d44b59b29cf7269028cfc1d29a102b275174b1dd8d5204949eb1a330d3e214f96b3d64465026d30556dd60882a74bd97dc6291e47481e456d9ceae35f6763f2b60ec24d1585cef962d0a193f5b920be23257a27941a24930d5b4db420c9e255c5bfbf04b11e678c09a940a190a17bba0117d1cb2452e7b05ac75edd0076314211aa5d15a86173bf9f23c4d342c5035291014271bbf565ae90297deb818846d4d18c14adc30deb3cf8fbb148d9815bd48cfa8ce7dd22c84a2a3b5873c34ad73d475ada9f3aee3baf3bb0dfcc0075f4843baff51f80ad83f7a10deab95fe6311733c47d66f65a715547012394f36ec1e7099cd26338ed951fd0f7bd9f96d78fc6136aa5877f1afd2e2cb3c1d6ee8737aa96d23a92a8c8738473e86b5ae8e8b020043b05859b43bb870c744a089521d1a3106cb5ca5807d4127e776cbdc5207650ffeae70ca9aa906352b6a3a9f14e14f4e03c7fda6ad0b3e7495d0b97adb2bb20c2180fd178e47a07045210c9332b4d839245d1703a81f559c036dca146e50489f7da9e1bd9505471566db676728a3b27c953134f5be71c22f15dd6fd9995f4ed808334926a61c79a89629ec08b07ac891875fbe3369a87b173ed02110fcc8bdcb205b4f10c83b7e0fe3d7f9ac12e19cfed0ebc2a116a4295fb739bad0cb5fbd404fdbbebdc06d154da23caa6f29cea3d68a198d3a4e8b6998de2068acc08bd3c9e6d2196713fede73364066c76a68086bbbafdbe61a08d4dba175288604c32cc0543c2412269e9a8eedc57eaa7897dd8d0891e1262a6afb726935366422927f067ba7e33dc89e471c0549b9e59663c3e1f0abf7ad1caafcaa2145ac2bc9f7cc52c52ca705cad55caa7b525db7ad6ac0a50f0546000c6488843d4bec93d2c80dee4d2b6070ad2c1c26e2ae0a555aa918587b6c4382ea674b66f6a4d0a73de20bd16971b3b407c7f5ef0b4a5e877d1e3d67cb1c022936f65011c8fb08efde0f5d3e30691d470844f760d9089301df58d3b463a59ab34063e06cc8a247ffcf5bd5ec3718010c043c7be083e8b9a78da0e76014ca4979f260b256670133c82ab998312ae2b5c60daceb68901d5ef9044a0d4fcfef1ae3060997b4973650fd0a9805f91f28194737bddbf5f48b67480633d28763049325e5058cd3b12497d1ac7b6cac9d2b831e5f471a60d1879d567c7fd5bc6860b057080c889ed5c3b355d1e06d2795b90eb85ffd440819e7de76233d74853e1398453aefcd119975cb1fcbf85a4b5488175665bfde73b82529778cb123e25b13116b8643f2f3f302fe2262b181d0825120342e205d29c87d09a9f350658053d6dca40d74d48ef427c6303ed47768619ef226b9fea015e1749020b1c60f32df9d3a03ed758303c474a70d3422eae54b329e17332d2a96c7b1b9b91015b798f1a4be6dc10cf86b84da67bdea2e7290311b43a51cf43bd8f7dda55050bc75995f31f753fe10b2daba89a3f378a64160547d0bc5ff19b92970ca9b15f243dfc29e6c22f8a19c415bb3b6a19dd6347d3be470fd9f0a1d102cf6608ba0ebee4861fe0531f918cf30bfb40f8323b3f667ab1b9aeae5b50b4519b3584bb2b1744ea5259676cbd2666df5a599511c529d61493890a1d5f1723a216b02891dba4aef6eb63c0b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 mlen = 2475
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = f258ff1178cc42a3cebe238c8418b4974812a05f43b8fa95639cc46bc0738bc5
@@ -528,6 +603,7 @@ pkey = 10fe2116fee80d6d9639f61b4ccb8263c939ff238347a69d1a4f258e822f858adfd6d6f89
 skey = 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 mlen = 2508
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5efbbbe99cf5c2b6830fb8e990250be308e662200526889ea973c8d33823ec19
@@ -535,6 +611,7 @@ pkey = 02f802e0ee8a8855d1efa29d37a529e5b02bb1d225afd42fc3c9006a63b4a4a3774e1b660
 skey = 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 mlen = 2541
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 47a048d8799784f6ec385eb984e70c62ce7c8a107232871b69b99f7bf4c3dbb5
@@ -542,6 +619,7 @@ pkey = 1fb1feb1d4f63af9ae4003eebc906b58d4238954fa98139927cfb5419a3115a81380e1dd7
 skey = 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 mlen = 2574
 msg = 34fcf4626248b979a7a8d306cb9ed69c4ccb5cc3729d2692e0ba679d5c2feaac54a4e06d4efcedf78e19357dae263e1b5d107fb09618a9c34f54f19a738a66b95e6f88e20e01f879f53e8f4c371b571e1438ff70e0a8cd00d608976e24501b2ddd323efe6c1302a318cad821c6ffe641672bb80ac62286c69fcffd93422911c46d43dc9a1f00a73e19ebe6cc09a9801f2a1da708f0f1f98e7f1a18529010823230279f487911cef1e784a229d9e311bce5e2d368e6d613f791ddd617d0f37f604b786ca2bab754e8bc4bd3da37e66a54df1d3b268a5a80379a30a52b1532e8cfabe24168d83cbfd61e2346f901c361f771e0be3e03dae8cc30614c10fb8dccdcaa5b9a25ddd8d61e61f60f22308e12adc137d3d8c53cf7b31984cb813758baa19ac178f2f0cd2155ed674a7509a3cfa7ff66d2d9b1e60be50fe7fb79591c500f66bb1d35edb80263f4b696a3dda0b9b2911d01e76e9070d99db93d1d0c3874cffa776ba24424a6b453526f7c44eafabe13c0750f9df33e82105930139e70b5cf1b09dc3913d6bf4a4859f67fe814ff038f0fdab93522a35e7f81002a395989d68b8b7e4235a09837cc6402a5338da08e7c73dc63c43bac42054c694f4931b80140d6b104edec995cebcc5629f85d09ded8257626f9fa4079adef81d044c18bf2277daaa41931b62a6028f89f95f06d8a8fdeb95eb2eb1e90c0d8523e0b476b158e3040f212390ab2503021e8d6fc0733b963cc6188fb2532829925b59c8255d89f10b657053d0fa1d8e76c84826a4609284503d3a101ebfe7af93edc423ef5303cd946c8b570511e38eb04bee0060e678d03e4134f84f279a570aad0332417fb2099e3f1f279ce7d6ddb080c5d83064d107bb560b21183ae165cbb54cc75313de72d40d1cf5173455aa55c5c356d7c40a2a7023dd95d3f89b515d7598f800dcb7bf68b707978ecaf55b794a17559bd1e913f4472b1830783bbbab5f23a760c78c46157fd1b429c445494cdf92fec8bf9fc217d3ce2697bb6c671baa793cd0c1c84f579f0daec400beada799a9f417fe4744145f21c6f8559afa7a514a0e951f03e5e68c17a8e5816f3fcf41774d26be2edc11fc3a42cfcf00f817c3d0fbf474fd7f30c9c3c6be7f74fcc79fa6ab07cab037eea7d83866673a74c087b5f7542804071d53ce348d2e836749e35af0fb884d5d53abb195ae1ee6e9ae35dc91be359bcd510a7801fc243c07dee92373918aa4f8a89eda3895a52456f7244d1ff007cc7b1a52cbef4c1ade1c2c0ac189ab24b3f260475e1d08e7c5bfa30a1cdd71de5ace80d5fbd1d0f17198b79c8eea0365d139f2ae73cab6fbc9a79786896de0ce7fc747d68fa4abab662a09e0e409f7e652153352bb92f5da1836b0e92b0b644c821b2dd2bd0af193ac0f8cf5b8d88432f0248dab09b46fbef2ef1899b5981e9b33de4e9927ae50890fefc35f681e075d8b0169a2e16feda6392ab9858db87ed18acba25575afd1feda9fb3fd01ecac13c245df6972f65087513f505187c4e8ea54b6433fa092b6cd3af13f4718693904435c55d273060fbb5fda76074691269493e86f287922d074e54eff04209b2fdd3417d8436d1395e638d57db75d68f4f819141b6daf4d13a9a18629cf5f84b0cd02e7a397715dde5476bdc467218d11aacd6ce399d9d54645bb27ca43076b7e4e57fb4f7c4f4b8d0aa949719d731c3a927fdef1533d773cf1bb562d5ea43817a5acefe9eb7e51029dea143e8a1d5f76f9bfd74a26c6d38f54194319a1aaabc4daf45efbae770b9e9d834c09fe45c15d4bbc0251d3df2f2f23387dcabce6ca7a59625e18fd997770d164c338d0692af97c749fb746c0d3944ca4b2da6d3ad7b8c3aa922fc029cf9ac5580cfeaff50cb2e9044211ea522bb5769beb7a7bba0743f345feea9aa9da6ec5f0579cf7a5aa4dedc832fe3f65185a31fd49c0d259e3b7f8fa96e110d130f588cdec30d0fd4860ca6673c46d961fc68a4020fb03ae24b1ae12967ec1ed19abec0808a7ef89521152033f70f406a7005819d28dfc556c79de18584088f40be40a555eaefa78e3fa3d9360a7cebd963555cf208dc408a07ccc1369f98bd840f5c940721064e6c7cb241ed0697af0facf36f05632a504870abf90134a01af00d340f7a5d548a8078c2049600ee454d15eb8ce58c26b3c8185cf9dfcdca7d4b6dcdeb82230f993d51e701d8387b06bd45b4b61dc9da6d3b4356f50c1d4ad2b467d36ac092442fa90d1deb014475ac7ce90c974063459dc951decfa30d2de4c70fba39a8b6931217d0924ffa783c8c3daf048908e4aaeaaa3b7c98846278afdd1753252f39caed7d334d8575ce3ecfb2edec31afeb2bbe67fa929a267376293c2b2f295cd8dbd66106e1d9518be1798949f3315e0454d018c2b706fe836fb37ab908d9d698af495bd285a74e4cfc7612d42121f43fdaa7dcf44da82897b820514d66b92983a3ec819d2ce208d688b6f0aacadc0cdd619d815cd231ad8dd9b6dbad9c47e16fac098d0f4279ab52055d2ff765af6e3618c4509fae6ab00fa23980efb19a26e0a6ea4c9a7dc699121388748449c429b28ad2779f5642f05ff58b68ba3e289f90eb27ce06392616c080d659338caf274d46a90d58f2bfed25e8d4a8c62030a5e89f6b1a5f6112a38661e2f2b5a37bcbf050812dcdce9c0a939adf929c921e7da0c30815da318eb2f350f286441cc92060c970077623eee68b8c6fec9fffe780a6fc85fd7af90172951337af57339e98049132a4cf58874a7418fb7aba0628b6192bb2c43102ee6b1d7e824725d9c75d34a8b69df4a6bcb1f96b57767046c99ec6352751e2fe1075bb4092672379b3518ddc884fead5bd062b0336ea88bcbe0d22e066566347feb617a322bec561e9aa9d2177eef0dfeeaf6231ad56d0cd9e300709c9317b3d334d8d2ac97f96cf2f45b8582c4128d95da8ca207ae34d3daaccdb128c11694eee6d3e8e6ab767b6886b1f7235d85a4d9c7c831c5db8ad8323f63927a638e19497cfb308285a03ca2c1fe2ac4d919ad11511ecc6f28e7d0e0a614fe21b57bccdf83535c7e2c40840ba0014247190c580378454751eb3f2361d7193e160b9516f7ee1d683b336b873c8ba22e97480a61f002a73844c78309c0a3b31be30a192a62bdcc3d33a7a5ba1f6ae0404a8558740cae46e5fd15971b41c0bc39665a9b92eeb3328c328b073ed5b3720d37a1c097af8a6fddc3b2b067680e6caa760368b0e1c052e804e9f80f26b52596202ff2e0af7215999eaf7d3ee3e8916744e40aa1154322dd068aa15960dc38671a4f5889fbe709ce1deccfa80b9d33ad2fd963fe0581a2ed7718a27ca62819d05baa3212ec7cc1c5472bcf579ad52d5e1b2bee637d9827851c419a4cb91db57b2a6cb4433c1bd209648f1fe170abb964b272bcf0a263ce28cfa3a9d1449cffdf643e37ad97182f0031cb334a1eead23d63a5c2d0a675d0ed000f37fd2153e1afc4ac01692701014927601203ed2b8a477ccec45c1f43190e4fb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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 1d9e243a35118bc7c50a50746e1cf19c9fc310c7d54181fb95f44753eab1b94a
@@ -549,6 +627,7 @@ pkey = 9c8d58f80f7e14fb50e5ecfbfba742f1e29fd7da1040cb12e07f2ec235e6d92e4e33e6ecd
 skey = 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 mlen = 2607
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 0a46fda6ba71125f3415e8bb6c2d8c00601107fa563e7f6386486a88f87701fb
@@ -556,6 +635,7 @@ pkey = e7e5f228a0c97efa8f5ff1d0189161280844372f9463c61a791746584ef00abf67fcfd17e
 skey = 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 mlen = 2640
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 5229dfe11090effbe94ee161054cd5ff58b31e23f567b282db42eb1fe42e44aa
@@ -563,6 +643,7 @@ pkey = 730ebca946d05b5680714d3de5c2f7e09f4b29f5929b38798f7c1db79ec0d917b29e86ac1
 skey = 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 mlen = 2673
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 18aa77795aa6d7ade8b6cdced81a1959a8329677f042283dc8ca71e13eb3adee
@@ -570,6 +651,7 @@ pkey = 7b2ba93a78f89a116ab7ad274a78f9b0c809ea0938b510709a192348cd50572c646ffb8dc
 skey = 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 mlen = 2706
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 4b2d6ec32be9c5d8fa11f3fc0008f4f26b945064d98362ad912f452692ac383d
@@ -577,6 +659,7 @@ pkey = c9fb8933f769e24c73d4f2d8be98b79c05db7e9213b039b175e540225397169ed7283b3fd
 skey = 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
 mlen = 2739
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 196b8144dfbfb47ec01e96a6b8443211d6c9c4aa7853a8131b5218349bd6d953
@@ -584,6 +667,7 @@ pkey = 3e867517b847aba29e8efc7c33f89a353c2f953a7c043fd3656e1877fca932a25eee6f188
 skey = 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 mlen = 2772
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = c171793029d0cbaf8d2661a823243ad50d67f2619533180f25b50c94b1310389
@@ -591,6 +675,7 @@ pkey = 1f73b63c95e6bbf1d454748bdd4dec6d3e9153758979fd12163b3aac929dc11412abe9930
 skey = 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 mlen = 2805
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 615fa91f3d206b908649399f216950ec7b2420eb04aec6abfcb7b4528e8e33e6
@@ -598,6 +683,7 @@ pkey = 164ca5ead1412fd79e3167b7f7bfe18190c810316f37c3e75af638a0240ee1b17377ba433
 skey = 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 mlen = 2838
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 626c19b8553b2d9e5a47a758615d80b15be11fd016d3a1962d8de58ed5ca2219
@@ -605,6 +691,7 @@ pkey = 92d8682363c4bd6f42a49d69d2437251d8a26af1225d8f3b32e7f8bfadb035ba5236d5601
 skey = 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
 mlen = 2871
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = b0d4ba39adb4e8712b3a3e6495aba2f04a29e45c68671a960bc0d8d89900c97e
@@ -612,6 +699,7 @@ pkey = 0ea33fc56db7715252bcaec8d0e77739d4ce3c6845d741467849b38ca852a1959a696ae91
 skey = 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 mlen = 2904
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = e04328a783c10dacd96702d2e726bb11ce4ecc571564ce7cb10722d1c98c2842
@@ -619,6 +707,7 @@ pkey = e9d1258056c50241c5bbcd8e50894957d9bc2bc57aab3cbfe624aeffb4f7a01104d62b8d3
 skey = 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 mlen = 2937
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = cee2e53099d8cb576f8f76c5c155470f87a6ec5f7d73256a0a2aee62cbc53597
@@ -626,6 +715,7 @@ pkey = 617ffe99c53b1267451a9d4e20a9564e19ca7080be14e622e51e9a62c9885a6a4f39cde80
 skey = 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 mlen = 2970
 msg = 4d83349dd620dc2cc0e9ada524b9be9b195973a839a042f4342d69e6b38918507a9747fcdd8b751d7c75abce2b482b3313d4c74ea4e7a4a91f2e08a059536b651508307b7f4c3aff5cf1579f90f32ba1e847778673e3956713c14661afa2d11ccf61fd8f9bc914d4b6e6d09c52aff7fefae325c180147153c9ae1924c9a2b8de4900bfbbc6797558b000c5adb9a8dc4cafb458ad328f19a2c55d5434bbfa7be5057e56511529709992bd6527e913b46abe38dbff90d4ab3c024a66fc0f8fb34afb96e22535a0ea8f313a087aa65355d7d5989c486e103fd526a7a6d812c0e4d8c081bcce4dcfbc64b68436739451be0c4b67bfca71be955ba9f9a23c223c7d0ffb1b2196c9c9845b6af341a363951e2008bdc4f3296dd0e1e3f480f2e4b0ec77a002eccfdabcc58d24cb0baa26eace96decaa0f6bf1cde0175afa65ad5c23c5e71b50df778208edbe426aa6e876c12440d7c4fccb42d039a14509092784baad37d9b8edf186cd4fcb3d9f8b0397e951777d602b8af613060fdab6b358302b3fd28437a06694f36ce12a035f09d677e48d077cefd1676d8fe51541bc19e3a6d6a5d879c4f9eb4713b7c0f3a652f3a05d74dabff79a302fdaf147531fdd57924f49e52b298219b03d6df166b481f232fc85c7cf52838969ced2dcfc18dd8c95891c498fb49289d1a982922a0fc02c849ac3bb7fa92cf43a64464d5bd919f75ada287fe657bf61dc07b3808c0fd0d71ea24de5353268b2c17c989c29465ba49111cc479f51a8cc623cfb6ff68149e52c77a7d85b5ecce66c05900ab9957bc7ed39e03649a103b5b6bfeeb168b7c1f30dca84aea509fec2b215dd95558a2708839396552f517a8fda28c3ed61f84e1b2e0dcdfa708de50d44bfc65bd4e70260c437c8b5b7158ec7e2301d9c7aaa68e0adef89fdb601711ad2998379145b29ce3681b513dc3ba9b2eb668c1b53697833670466e21e767361c0a4362e5b8ddc38ee6a9c4dc5205eb808b93c72ffafb635b4254e4f4496bacc753c8ed0bcaa88db683ce77c8165e8ddde665392cccd57bc07573d83cb3aa10648281efb08f92aacd8ab6f9b5d7fc66d29526bd57e421220ffe375b26c61a0ddbd9807022eb3b4b681a43e7719f5ec255c1e19ae6c542d6deef3b94b6960c18d0d7c8110b88f995826073b874042faf97f1ff034b8257418ca269f5ca588223393b0179f9817e08e7212d0d410ea259ea66bc4a00e7fb1190a732bfdbf7adea0e4550be90c3e37bf33baf436955742a2632aede259235702ea2e079d99a22c9755ed34c1e3ccbe746e728a932b1852f692b103112b303033ad3ce1172aa066860df570d21ebba51fab72d5afc4ae8995f532ae384cccc3c4a295af76a803fe076ccc920a80d82a9b614760ec43208579ef5dee164356d62ea33953e55195eee9b2e2018e6fd9d19a9f49258702dbaf6edbfd093919917b1b6734f012e2beb4f758dd481fb8a8d7796e755c6647501e28862b9f5b16ffa1c5d80dcb07141806fc348881a5a8891bb632a4ae4292a102d71504d0fc12c79d15bcd0799d30c7b9e72625a7df7dbc7ecf9eacc627ca9ae5d71e264f2f2a9d5db8593f3a90f3915ce480adf800c99fc2c8692f2b57b492bf9d84171f8c29af8d5549f82d3730927096ca18ff0b0c0c0b8b800508c44d5749b92d7d48f7fbd5c86e408ece0eae639af475073df5ca2cd5083bc4ff8852ddf5c399946a6b21b0841d137f583e0dda3a6046f082872b783eca3e14b21a2af61bb150847026f2371812b1a2be72024226f4613da860ac2ffc578dcb171dc27b896eefe49f885f9be4cc8766f37038e01cf20dbb661f507b2ecf2b023203a6259b0a018fc00b2ca9b3107b605f04388d5493ae7cc4bdd093ce761a92847c2a167739e0750b427b2aceb3abc5ff751a5f32d36b589787d4da509c85ead751353ab2c68a9c14b8b2c8166aeb6f27c7f101221c306aac74aab6b4e795525fe12038725d7af3d2a6d60e1ea85f2b94ea24f1b72fed9ddad4c8e5da484e80a2150de22e6adef41153d7b4331e8f011a3cd48dab02876b067312d0dc736e465f99ac3c9c56321507e79accf652e3857c749ad92dad15350a6b4b67229a3905db18ab2053e2d4f92f156a1d76d0aa891364002c991e632b53fa217aac1709f37f3402f43b0753361eb2f595f9fae3d7d96ff050dca0b9657f4c3ab49ebdbfe8816051c4e0aff32c5137749d53b062cb61f7201171b5dd716e9ccb38d00e50955596845dff602200b30d375a854ca4e9a7276ca1a1d9ee92a04bcd78854be251f7080aba6d8325d40b37054596ad80211a50afcc1dbc177600a70e648d8beb4fcb8919214894cddaa6d63b6f6c445469a6866721d4bf1117f25dff9d65fc8fbe5b0acc8b9039c7f94b2a5cc6068a0489e2e13a731dbe1094fa8558a601addb9e4dab04fa744cd5b95a9d57c52c8124ad950a5944dee2c55e5c8540dbee5823daa624f57fd5be994bab3ad4e74ea9443f8b6024bd6b49adf3972442d88e61e04fe8478ff28916584ccb65fb15686991d5781cb7eda067745258ea671e0a2665f94fea1b5490669d1ee8711518bb911094957586c8075e3bbedc47be059053a7658adfa0aceabdd46e0dd9647b34eba32e56b6305653ed386c50e79e15084f00f003b1d12504fdd8e47d03d9f7572276047bd22b82b8e81f87c86e6f20d2a756b16f291179a97b010f993c0f839c9a1238cfc9bde8074405cf1b35df423c7566ce965681f21c969e4f3f8fdca72a18d5daa80287f53b5f8429fea81612cf63ccf1b7a13512db4d1dd2678fe1189398032eaeb4368332972c728ad726b7290302c3c5acab6e73432e825b9046f846adca9d93780a36095aa5c51e354cc6e9a910cabbe59130e98f4acb3cb6d4efda9e2f78748ed58465937fc81c548ad038fdc32aec46b078cc5a7207658a9706f1c9653359de6c4457dbfa71d300f98f9bc5daa14dbdd5ef20dcede7e9d3f7da5c932ac3338ba40e46b17d89fe38f725129991983d4a81321b394f2d7b20d66e3deaaeb6fefc8cff0b68a766e27ccfba66deddb1f541deb3c1892ed2ad5d073162f0dd06b82e8878477bc96e03101c9b5d9d0ada10ec060b45e144b31e6b4de283fd43538b47178398fdd15b01ed421ee2c65847f7a4e9aece2f1d13971ffc0157040782ad4b591dea0906370820dde1000490ab1c27c03d02a0f4b4bfab0e56d7257288441cea63175cd6bd11382e6c873154332e627ce82e37c63889efbd8537ac35c21ad7a09c986cfebf13b19d5677c1104b373f3b55198d075aac608145ff9d0c4c12c83bb41036ab32227629eeb4922f172281a66c23c35b8a3e92de0a10d5e8c18b9a54d6c30230f3a8263986ac535b6bf63eddaf6a02c9100b712ec4bd49851a22af0e647f259c2e19b9acaeb6147c476c90745a353f6252ade8212a9f7c215c0b3053bf2b4e0ad225e8b344ec14c1b839877349c3743e8337d9c1eb128b06939c5a08f60a46fa700723eb6652fc26440d9bda3c9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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 02d9755c369932e7f99a2e1614b03e2c86d713563785965e008ba987a6c89f49
@@ -633,6 +723,7 @@ pkey = 4cc5044a6b9d88d0620723799c69c9e1118c571330b37e27f390d38311163a5b69c2f546a
 skey = 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 mlen = 3003
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 2b2bf7cbb0957a86bbec97001b60c7c6ad98a56e94542ff561f78fed211da755
@@ -640,6 +731,7 @@ pkey = 58eef138a2d2ef190f6f732cdd4c6d40d3652970dd174ba03782269c974189198debd0772
 skey = 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 mlen = 3036
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = ee0243008159dbb2c8654b0f53015055439c4aa6f3b4942e73c5ee940aa0cd77cbc9de7265226bfff5a54b17f7dccc345a358f4367ff13d9eecedc09c62ce46437635b2b1f70e85e471a888476436d74d20aa1ddeb0428a802db153d844d7d311c5b1ce257a1ea7a6deeb64fd86f2e943120263a6faeb4419bce3fe53efb0d28b9ded25cfdd88ccfea8d84d84129db48bf414e3f987a906fde644038648e40d2d25403b23ad55f9c8d2e6b95b76766b32179c9c96e7e80cc8f0cb84cfd0c5e2cb806aacb990904f9668ea474b82e2ab57d7ea48788b6074ab02248225be7569bd46592b3f6d0050cb1b657f4b8473542d494405a3df51bd4fdb2c6b3f525248aeb680b1c4ceb68fb1438631bddedb3a303c0bcaa9486a258c37c4e66f3210620a2d9858513a39dfc52c67a328f630cceba2bd6b90cc0e621c5e560aa6fd720a8a9ac5bc182052c8889b4a74ff2a7293a652314a44503c386f3e860b025a0a43006f384900d91bee170f4e4bf5c62a09bdbc465463527439b3c2b5877ca3163435177c3fed43c7834c656824b4a36a5dfd3be941769dabd831354c3db9c320a8e1b76b5f123ff49f8a53337cddb3a71985daa933c1cd307a111396e888af6029c828749870d39cf1b691ae59ebe492497abd0ea21b9249f9af1f646a58518c1c56b0c5cb4de6c8c72d7323c0d30563597d4f8d21f9ef3103573283acadff516695b833ca95752a8a3b3f1cad453aa12438497cd75fce4e9019b34502ab94ba3e3c29e1c36d7b7095bf3091a45119865ebf37e5d37561e46ef15c34003ae1441b396dea24ec697e3b2a9d4c7b261608479ea366ccb877c065aa4eec37b8523954545f2936fa0f0994714df6afce792a276a24f29afe593aa9aca981aa3245e6b297175d1acc59fd4bd1942f4e6a3e3767919f0d4ecc586e02a83800907e1b9327c70e49bf6d5fb7e8d35e16a8bea2947508f780f01b461f705a021dba05389728269b97faf1b82a77ddbf47253b6a5845e85b284d271c061881f0f7fe8ef8353475e680b62921257b8be8d722e1103c5e8e2df081af0c9698d93b2cef8a95b4594e0875ed96417e9bd636fbf5ff5d4daf5f9494c98ac284cbc1fe0e203509217d3858a600d32a84b9d5c0c024710978cc91a7754339c4a950ba494b9dde8738a834e1483efb12929eb3883a4872244e27caa31594e9b3bb3a0b6ae8847c0f4f81c0c1e1951c7d64f2d53f72a24eb73dfa09949814417279ded3eb211c80db1ea67d75293fbc0c106325631b500ae94bc06b9ef8df54fcd8dd06d0f2a673b04deeb8bc5e18ed349f842e52074a0b6c8e1137f5535d3354047afefeb8125133e8261edb077c015e63a753d1112d02713738e519ec1dbdc4a935b6bb31cc3ee758b3bc77a9ba17bb1f87101a6571dcfe5152fa5b6f75c010404b3a447e9b520c8c8153df2cfa79cda9530d8e5198f1de2435ef3edc3878efe798214c0defe71bf6afc50da535a8bd3dd5412460cbc1ee8c41045c007a2c905cc5c591b45b8c0267ab377f04d61985d60a2082142338c17c1a691df6bd0e170c27824f15349bd86c2f25ec5536271e8b914ee5c32c85d3b998d9fd8a63569867754ba11e09a552ee56f1568152b0f184c7a86e348137ac8c7c19f194ed329306d50226655aa02db0110e66d4270da095983cc4d992a4ae4833cb68f9cf1692ea8722f972b6fb5e67c2567eb319fb0f87fcc00b888f4194de3bdd7da60019552eb0f4e8e757bb86771c13a0b693a3b257ea9a932e67f63cfca28034f8f49ae4fa29d7be4012cd36cce50eb3e13811ef24585807adabbf0b56285f0e74e9dd8d0485543a8974e73b7d7968d43c46bda7969cf67ed56ed86daa3f7e2f1e33a340819c8e54d78a33079e3088afdfc0d329ff552f0b38e032bfc52eb8a19c31765e71dc86d05371f8caa17c3a0932670e4290ad7e264e6e5b968782773380cc5a452ed413a7dcab223c14295749836a1c8b057339265b86e6fcb1f2e4d207e7b57372b1a57eb5e0639566b82453db1174c7d9fe56ac6095043102788b717ddc39a3d4841656e35a05576d580417291af6486972babcca978b1eba7aab65d16bb847b6120b6599bc5eeb1578f5cc06e47c14d708b5f13eaa08a295096a7e219fe16ce2c4d952bc76679da3c220d7596eaf7d3af1aaf694421e8bba1a02be591f3e78d8c7c281368b9215c91d424688143b5d752b40ae33a6a3910812450e32e3113503d92738baff457ce44471ffb93a4f3e6ef15481cd1cd01f4a921031e5ebfdf35eeb14af463345ece4840494be3ee90eddfed1eb536c8666b315b49445e87925b43d7cb154e795d8c6b6d01b28c772065aa543b52a5a313dac52f1881cb6291416f811d0bbbff9ab50c3b8b38796d70846054fff7d5b035e553c3ee48e64aebb5c24705a613e8a2e2e0e3e64eb936a8fdc0af5bb685caaaa8e0de9d9ec71e8ec634e8fcbcba4fb82b38ac0e0b57905be1823844335054da98e2614e8b77d65d71299d75ad96bf2728f72264e86b8fc193c1ddfbb0b036eef6cde292fd8adbc5f5f658f2fca43102b2a2704ccd46cbb7f8e2487650ef0d592fb45c61b2ddb736609d82f6b9b98baae04b259c2dd66805536a9beb65308677cc4095fcebf779cd7b16516acf29b9745c7e5280e23887a8c9568d721983f710a8c8da57e7f6dfbdb5c2016af61d92279fcdde71b84648234a8e54b8d7cd9e83eb15724bbc523a980a192739f4809564df011a1817f595a8728322d9eca5b6f4a750ee1f41d163cc46b08785b34d8b494a8a7b0c47ec165e5abbd3b330302d37a43ac1998445366789ce8af043a9649261efc0e3ecd51e4b6ce97394ea54f916ba61d948a94a5610b8ce5ba803c6e53b47a85b1c744d9cfbd2e62f5fd2948c957a6dee6a46f853dbb9a5a49d499acf9d66634fe6582f32496f77c1f41a63524cade70aff4bbe27550b3c8cac5a6d749abe47a6c2d30457a669db664b08a4e93b95abe26b4f6d92b2cd3de4b038a38c61b7b8236091b9f1a5cc890e746351bcdf1e034d4aab1ee70e846ca74048e1ba579736ad1b86eaf5802a8afc9d598460968fbfb24ba24ae0e1af2f3644081094feea1d6b981f38802a85262cb411dce97dd20f78b624ee8b668d081c4cee695e0c5e4123ee70b90a9fd12b2c3821c4ccfbbb4ac34f3caffc956d8ddbe32f1968eb2c09513f192f7391fcffbea9603528bee970407c020219e8014c114140504c70b8aceae53d290da18a5a31ce1d221687db591d6cef484bb1a42ad036a830b4a23546490a234869898ea4abb0bec5c8d5fb0204051617192c3f44535868696c7a85b5cdd9dae6e7f4f6f8ff191a1d3e5e618895b11a1c2324252f313849556472798284a8aac4cfd8e6000000000000000000000e283146
 
 seed = 049569cc5fb969c6eebb8aea1af1fcaf46f8a9e6cd6c796fc7193592bca9cf23
@@ -647,6 +739,7 @@ pkey = e3b5a2f2ee49231383c023707b5ea5cd6682cfe4b65c0a8452ed137c33cf2b52ca3773f8c
 skey = 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 mlen = 3069
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 9d89b9a327df0d341cd2968ba9218bbc3e934502cd88919d8bb16dd3d39febf7
@@ -654,6 +747,7 @@ pkey = 0aefcfb338d198c54b14e3ba71acdc4f9ade5c95e02862f68e724329ea220b219a0e7a3e1
 skey = 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 mlen = 3102
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 4544c2f21054605b0eee46f62a87dfcbc3bfec473b9850886266f478bf9e33d7
@@ -661,6 +755,7 @@ pkey = e9d58c0ee0b2db275be53870ce3349a856d50594873eef947b394b1828d11c82f78e8e17b
 skey = 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 mlen = 3135
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = d9931e321732bd82ec9ca1df12ba48549bfc7d3e76a404b71892f4198777ffbb
@@ -668,6 +763,7 @@ pkey = a7f3412319b06d3511fddd81eb9c479e1c6ca8e33acdf53964be7957cb853d9f4fd107d70
 skey = 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 mlen = 3168
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = f838451e4a5929b8bae9084b40b1dc0edfb76a9354bf27f981960c88b0ba3a11
@@ -675,6 +771,7 @@ pkey = ae987bed1d3e6a9b3243d65958ef6f6bed0c865dfbca7867d300a7f900bdcb040a8c81c96
 skey = 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 mlen = 3201
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 98814ebdec72920ca025f3cb2cdf547f032e2371c9e3e94021d21008e1c625927b394345e7a9505b50dc106afbb4ad895f1caf15a541a01c6f5b12e6c57f0f2ee8c58d9ea3ad8bb490fb289d5c51eb1973480b4c935cda1ccf4a3bf79a9b9abe55dec4da0f39d688806f6ce313a3e1d59150b4e06ce36f90b4ef583960fea3bd91cd5b632e65cff559634350f981aa8862b67209f3f1713e6424929b8dbbad4e8bfbd1f0e3db870e4675cb684bcea5da2ebf00f3e052c90ea090f7cdb1fea32ba45a414919e9a2648e6e58b89a6e562d328ed44255c4cec94c6b7ba286499d0d8e652cb7d9f4ccbee27218f9988ebbcd5291bfce7ba5ea5122f07f21ea376303cc0d0fc3c911dc60df3a4999fe683f6907440efb53b22d4bfb6f64f787cbd4b797d47f138bea244c231029f2e54086d9ec812b4b1647ef8a9dba56378b4034580ef23daf763ebd9d8144a2b3846fd5971075e62cf1da3e287492e1abe44d939c7846a2d792bc6062acbed7fec8140f76c5ee26d5c707971f0092cb5756d487e3793129671a7e12bff8e3e198a53084ad06124d0df9a94bf6aff2f6fefebbaf2fbc8cebba8b426a9f88bef0e4036b8e323314082cf66e659b87b7c52bd48500e91f1cb219fec57f48e0a096fc9f6ae9ec9d0416e133eba39159ec65fce9b5c21b84b2ed5287e7c0f614c022007e1e617b297fcdb586f7093e6076da60549d779b523d4aab8ccf1747ecf8063927bbdfb8293aefa50bcb23555f1d222e5b052ab2566fe525881652409cbd41a9ed5ae023fd4edce99d8142f6a22571be5578ed957bb8a97f58dfce175b64a26c34fd761046466da5fe7524f807ac4cfb1d260a1fe24cfaec607dd16709ae85829847d3e1d01d6a5ff77e2775932e91f9e1be19557afd7bbe15c81978d65c74403352e7e6210dec14766ea843eaf68b7a1784276cd9ba6a8a44700f8209707d67cbb94af1f8bd45c5b570f3138d283876630250a77a0d0c1f564bafc3af0703705732b195f9aaf9b39a2b2b05ddffeb944bc7fe5d433c875050659cd0f66b20ccd10a944fa13dd06e5d69dfb240ec797c003b39332d24c6a079f1ccd42d6445ebb9c1001104479e6d26c7798393f5fd6c6cd1f40c404109ef8d59f0862d10113b6f995c2af544b69910abb9e97a185a8dad3285108b7b4ce77774ffc70fe8fe6d3d8ec6c28063241da823986b6ee92562c1cf1eb336c69f1fc848786ba3b810c3a2c967f7ddcae643de27d5ac1d92f1dd084cb085f44f1828145ba564b93a8f5f79a62406c26ab040c79ebb37c0c3f0757b0dbd4f730cea4a8bf718b7e3a07a10a497029c4a5778c9f94c231cf64b3768c7f84c4187cd50a85146bed09d7e57388cb708ad1ddd3cb9d033f43d980f970c915ef1ad4f382f922e59007ef284a8253173591bbbd0e47ee6ffb0b231c53366e875c2780a81fbe44a7db3e96c662b673054bd3bac06d3b0b715b826122b26650f2948c81b9fd2246a7420006b2f4b65753cd75209182837431061d4e137d3d597b132e7b709dcbf9f0e31fbcc1446d7080d80c091158caf8e83288410fdefa8b88f8b54f458b6e756d80bb7fe72271b786544adbace6b45572fd920eb87e4b933c4f84541513486c0e635595c58e501ad0c42bdf1ada1daa8e0a8142335977b958c1b0888379ad4ebbcf8dd086b3eb66b2d360e53999811bcedd73d72e24821f6211f4699c4b11fadbf1263b63b7c4ba42980ab84837cab3cd3db8617fd90d8ed6b7ca39f099a9f971a65eba8de3a0ac102fb1f25410b99b8e8467cb26b7937ae79ae3f9d466d2138f00aec54670b1ef743a4be721b1a48c989ad81464a7d34782ecf7235305fbba600529624a12070497f4e071d4c2bedf4f331901516fa5639cc8bbc083c993cbfe9a637509352034bf45c9d1446c48af0b4d031839fff8e243a5861952fafecabb0c74687597c5f53cbfc047cb83a49faa2af1221758319ac8f45611e67f9185c4d1a154ca880ff09ff51c9ca05025bfdf0f4e3029cba69297f4f898318b17222b1de8e731970dacb04a65fd745ae9aee559e4228f0c1e282b01b94e25b83512978b2f7103f73d42340f754dcace0741f03a8cbab4444a910e7f129fa23066ca0d3a2cdbbb900217809605a29979e063b9cae3cd06de194224b76b36c31523ee8b94b4b86ec9f4c85cd28e502b8ba8fa37540ef57fd931f2c216b8e0db39a5cab675930c99fae95377a6dcc7a62bce34dc0fdc80bd7d41140083ce8313d2096508b4f185af1e4155116e0c9584796fb94351f26055a773ce9b11f7d16a5d2cbb8561860617806e30af70c055eca67d1e65b162355e1f55cbe8ce642de1c5f45538e7b023956f7c460606477f1bbee8f02c5c694e0578e36b859bdbc838dee87f29ae8799799ca4c16afa6056d3a9aa9aeb69dfc602042c3e208272b508bdb76f25bdf075ffd88e363166cd02aa66ab02e78e6c1dc98b5a529cf7eac7dc6acb2bb9d86aa84d84569cb4ed50b6f7021324817050c85ae95a2b1c74ce0b8b3e27478cd32ccda34e4551c0138dadf466e98f8cc6c53127c325000725c7d6a24711eefcd8ae6a9d95b9b7233708b06f8f76befd7046e8a84631947d9dac0fcc906b10d3a244613e4ba5ab3d1c548ce18793915791d699faeaeb43eb2587f6878bdb32ce014aebe64b57accef1187e73bc28e485a0071ca5d86685bedbca4105453191b713610097016de149851358fe161012edf3313cc23d91346f512d2744e17c33cbed524254c8d9d661d9d7dfccbc9dfef1b1696cdab149abc3db484d0dbaa619eab40589a2888f7dd1482339e305d007d5ab2213dbc9e80888cb729c7b05a55a1211ef0e4d3e52b434734867bd7e7af31b7f95d7580dd900d8bee87368a2d09d45c1a10e30b0cd0dce7877ab34717e219a06fa2c843bc3d730bc0dfc4b234535b05ad4c7d12c59249e43fdf1b76ac9dd0e23f18a1ef03695aa0e9c36cfd3f90c8ff1183f3e3fa4d88111d3aaffc0ba272ac1b6377270e8efa67b2baed5e8986f8719281edcb4216570b2ba436f82652586ed5df52e645a66fc918a2ea27a64de3a769d0c7e396a1c58095a9bd044c328e0c3b829906fb1602fcbb9d9155e963d7c4a61892e56956bd72fc9ec93bdb47cedbca3c3b2280727245c6fb12203cfae1c46e276166a28c71b2aa7a1f21c6c59e2c0b8eccf8893ef15ff8d7f2cc07f8d291f753bcc7880d66aec0e07f0829b4f5d8b8e5f0ccce5b1cb9e4df257467fbeb9b527d1a80f23f69c63b4447be5f3539f46dba08e83d5a4e5b7eb20139404d61686f819a9fa2aec8f915162f313e575c637b818697a6afcfd1d7dae043454c56676e9fa5b6d3d4f6072427545b787d8f9eb9c0d2e4eaf100000000000000000000000000000000000000000e212d3c
 
 seed = 8e4334b2589d0caecf0fd9ba584ea26a4123d4543a8a0fe126d4a7e07f6067af
@@ -682,6 +779,7 @@ pkey = f9cd5d926a9e205f1ece49e62a71eca70b60a94f6ea76c322121533fbee293a41c7a72866
 skey = 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 mlen = 3234
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 37519a02e8021f2257259c0d2e499af3533c8ed8dd5bf7751cce920d79b518fa
@@ -689,6 +787,7 @@ pkey = 781bc0a1602ec531d0040e8491be5d75afa8f4ecb0092818d990cc08f6fcc40a17e4c4e07
 skey = 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 mlen = 3267
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
 seed = 690482bff6c1d0ba6c071dd395adf69e55e1bfc4e0992a8650ffb5e60a02b172
@@ -696,5 +795,6 @@ pkey = 0be5ff5f64e309b8bd4d60d6302b5a9669979515352e32eb57bb8868fb19fee357be8b706
 skey = 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 mlen = 3300
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
diff --git a/kats/ml_dsa_65.kat b/kats/ml_dsa_65.kat
index ba74378..c640f53 100644
--- a/kats/ml_dsa_65.kat
+++ b/kats/ml_dsa_65.kat
@@ -3,6 +3,7 @@ pkey = 1c0ee1111b08003f28e65e8b3bdeb037cf8f221dfcdaf5950edb38d506d85befd9fde3a49
 skey = 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 mlen = 33
 msg = d81c4d8d734fcbfbeade3d3f8a039faa2a2c9957e835ad55b22e75bf57bb556ac8
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 66
 msg = 225d5ce2ceac61930a07503fb59f7c2f936a3e075481da3ca299a80f8c5df9223a073e7b90e02ebf98ca2227eba38c1ab2568209e46dba961869c6f83983b17dcd49
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 99
 msg = 2b8c4b0f29363eaee469a7e33524538aa066ae98980eaa19d1f10593203da2143b9e9e1973f7ff0e6c6aaa3c0b900e50d003412efe96deece3046d8c46bc7709228789775abdf56aed6416c90033780cb7a4984815da1b14660dcf34aa34bf82cebbcf
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 seed = 539577cb7f2088fbedff1b53f235d607321857db32bba645f8df3a89dd426552
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 mlen = 132
 msg = 2f7af5b52a046471efcd720c9384919be05a61cde8e8b01251c5ab885e820fd36ed9ff6fdf45783ec81a86728cbb74b426adff96123c08fac2bc6c58a9c0dd71761292262c65f20df47751f0831770a6bb7b3760bb7f5efffb6e11ac35f353a6f24400b80b287834e92c9cf0d3c949d6dca31b0b94e0e3312e8bd02174b170c2ca9355fe
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 165
 msg = 1cdf0ae1124780a8ff00318f779a3b86b3504d059ca7ab3fe4d6eae9fd46428d1dabb704c0735a8fe8708f409741017b723d9a304e54fdc5789a7b0748c2464b7308ac9665115644c569ae253d5205751342574c03346dddc1950a6273546616b96d0c5ece0a044af0edefbe445f9ae37da5afb8d22a56d9fd1801425a0a276f48431d7af039521e549551481391fe5f4ebfb7644d9f9782d83a95137e84ea3aeb3c2f8099
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 mlen = 198
 msg = dbe5b6c299b44f8d60fa972a336df789ef4534ec9ba90df92ad401d1907951eb6285eda8f134277ab0a1145001c34e392187122506aa2dbb8617d7943a129eb5c07df133d7ccde94a7cb7f1795c62493ed375353d1f044257da799f7d112c174fbc35687e2f87fefbe2d83d29d7314b30a749fe41b1b81095638f112bc4563420af235280e466ffbe7050c4937c60fc18d1a6025bcbd489f0c538e088e906abe8597e2c8ebb64f01d225c847aae4b77bae6eba9269962c4b94a9732ceaa2cb4093d442ffbcdd
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 231
 msg = 0073bee97fc97c0fbc750d474aeb93189f061e1a5cf6600c04fb0464338ec7e85252f94fcbc7b2bd00e438480d9af3add92a92e3e2e8acb55077c3278fc7503988a76e9b6062996b20889aa55b343d5a003c8a8852d738f955799fa3426be5ccd3aa6b6eda04d4884941ffc0b69c5acf12b347a74d0580cc3335ba816200f87674a4c1d98097c70f2f27c74e94a661850610ecf4847ab5b58344f958c5719e06ba396225bbe21acb0fdc512b885d391e11b0c0ed5ce6b5dd8faff91f50025c69d43072f7706d80d9fd786e1104125d79a5f4b5fd838815d44fc8b1ab678078cc174dde970d448b
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 seed = dc9f40cabe2e8e4f3d1538fbc1ada27b61b99081455ab0c4c41b5b3da8101000
@@ -52,6 +59,7 @@ pkey = 2cd04a91dbd7826e4f99c13e5ea14d1a6e7a8725e5873d61b456d64cf59be90ee2f66d0dc
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 mlen = 264
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 seed = 1dade637ae98c393260f5bbbe288373100dd7af37eba913c528d2b7b998767cb
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 mlen = 297
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 330
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 363
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 396
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 429
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 seed = 0e1a1634fb2396e187cd8980ef29663c42dc3ef963ccd491f817a84283a11fa0
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 mlen = 462
 msg = 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 mlen = 495
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 528
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 561
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 594
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 627
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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@@ -136,6 +155,7 @@ pkey = bd96432b299699d1976636c4a53c125405e981b06bfd65f7fe30c0ba5020edc655b1342ad
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 mlen = 660
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 693
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 726
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 mlen = 759
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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@@ -164,6 +187,7 @@ pkey = 1de75477423f0979c52e68b9e055333ed3de68a8ae6b5df82807a6c411b9ca5761301ce83
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 mlen = 792
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a6b534767a6d839fd19075ae0ba10147c46862bf7bbcbe83f2b72f72f1368a1f
@@ -171,6 +195,7 @@ pkey = 26b7c30fceb4ef5d71d0d127f063404285744cbfad52a8a7c5029dd57a45ce59d251b3b46
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 mlen = 825
 msg = 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 sig = 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 seed = 103164ed522df0db131c15e139c0f83d9b1b7a1b6ecf7f89a5248cad7e68de8c
@@ -178,6 +203,7 @@ pkey = 8f70fd6b69122d1da58fbb275f70d9eeab795e002d2889468869e5c51acb94ee3eb138658
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 mlen = 858
 msg = 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 sig = 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 seed = bc962d978f38881085c1b813bc90eee44ad9e7651681c20ba46402f557c454de
@@ -185,6 +211,7 @@ pkey = afe9d17976da571a2e0928897764c4582fa9eff50bda236e80d001763cd533d64ebd3099a
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 mlen = 891
 msg = 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 sig = 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
 seed = c3de54854a4060ea09ed92a363f71c7863eba64195e9ac79e7ad7eb6a183cfac
@@ -192,6 +219,7 @@ pkey = 1b36ca8231cb612f0fe9a60248cb6e8049ba7f61c74bc80f3c0c3a5a8e058fa24f242d048
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 seed = 828b9804524bdd17d0eb387368b01b0e95b4960057ed63fc2289d858201e207e
@@ -199,6 +227,7 @@ pkey = fb9ab3c9ae742149675958fd0899d48d845b290291bb507c5fd42fb9e523146b36d725d5f
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 mlen = 957
 msg = 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 sig = 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
 seed = 4a84ca5c3954faafa11ae87fcbe701ebb5afbcc5f8ecae7786d10821e01ada5a
@@ -206,6 +235,7 @@ pkey = 1c0d14f1c1e76b9bf996bf60622d3c663d073722e85564917387882c2303b452510341a41
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 mlen = 990
 msg = 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 sig = 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 seed = 3e74ae2b1d49ee6f149076f0bae2d26a5cadfd5de7bef66dfcae6b588a1f4067
@@ -213,6 +243,7 @@ pkey = 5c7ce327b828bc8d4b53a66d21e316f607d9c8e437f3d38ab2875a4d4170ee007203f80ef
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 mlen = 1023
 msg = 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 sig = 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 seed = 39550bd2782d66fa95380f5f101d827377b11410f8bf3bccfbe0e504fc09ae38
@@ -220,6 +251,7 @@ pkey = 20872f64e1fe69773d60fddcc67f2d9deeed8289ce17907abbdac36204805e0660a89c9ae
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 mlen = 1056
 msg = 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 sig = 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
 seed = b18f0fdf9dc4f514107f88cc43fb29190608ebc5a2cd00b49fe20631761038df
@@ -227,6 +259,7 @@ pkey = d6f7ae243ec019b388bc9107a4faf40c66a8529a3ebd79e9bf4118ccc9a3f92c37f4905cf
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 mlen = 1089
 msg = 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 sig = 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 seed = d4fa14da39548392300a41be413ebd53bd7bcbd045b4d3c8ca44abc9599e269d
@@ -234,6 +267,7 @@ pkey = 92926a6068f3f91e4a88143d04a9ed72b23292b7672b4fade24fbbcb09f9b4f991016f982
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 mlen = 1122
 msg = 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 sig = 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 mlen = 1155
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a18a366a5ecacae4732dc9e954333ead153203013bac4e3c50bee15269f983fb
@@ -248,6 +283,7 @@ pkey = b642c23a6466cd8b2a6511566cb9944edb585b1bb16e881c927a38424a91ec0f1a38f53d4
 skey = 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 mlen = 1188
 msg = 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 sig = 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 seed = 585e714d565aa66078bc2b12699f1e86c6ff30a1abc8cbd19563bcddd2f1f6d2
@@ -255,6 +291,7 @@ pkey = 0c6244ca381e425421508b85b47f9bbdbb10e1f0172c28409ea566204c3151ec1ad8d7642
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 mlen = 1221
 msg = 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 sig = 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 seed = 662cf70d3d5e95a9c6a33bd7c6abf0e8cd23ab2d2d9420878c4835de14a6c606
@@ -262,6 +299,7 @@ pkey = ab98c860699692bc2a6a80e24d455a4039d24b98f8ef218b8ba6b7225861166810f0916d0
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 seed = 1924a71628292aa3d2d34ea72e2bfc2520864205f54ec6f19f7714733aa34cc9
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 seed = ef7ba21809ae7e0bc3230b6061c5fee206d805572cf1345198e1ef22a8fe7322
@@ -276,6 +315,7 @@ pkey = 33075b839a2c1e78a91a0dfbc761719c0260f609cfa5ed6c1735327f4d868d260927902ee
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 mlen = 1320
 msg = 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
 seed = cb0b305fb54e1cb23b63ec1f6f4689137e5048d095fb3eadc854c852ca86be93
@@ -283,6 +323,7 @@ pkey = 44d264af1665c1e9bef951d110a6f3c5c61999639d068406c03365249a0a716c285145200
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 mlen = 1353
 msg = 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 sig = 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
 seed = f92ffa3a36f43f9177763ad320fd651d9357c6d99f09549fe6af12943b58be90
@@ -290,6 +331,7 @@ pkey = cb247c80d27dd2fe81aaafe541223e2dd323d5f0d7a13b8f66655d94a3d04a93642e64e27
 skey = 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 mlen = 1386
 msg = 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 sig = 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@@ -304,6 +347,7 @@ pkey = 2056013961e354ef176843fed2017e616010e951409d250569cb4e21abcc258d0a40337a4
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 mlen = 1452
 msg = 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 sig = 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
 seed = b4e1af25e8dc6934ba391a89984a358702bdd36838babebd982638703f20eef8
@@ -311,6 +355,7 @@ pkey = abbcec70ad82c764e63d72627ad8ac948dad19017e5bba517d85c8cf781fbcfc2bce48a12
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
 seed = a62875a3a6d305e120dc7975962552126cd844554857c2943872a4e524a6eeb5
@@ -318,6 +363,7 @@ pkey = f55d9b3bca9328df438e5e818ce35b2d04509f8bde9ae6b9f97a2dea655147e1dc1cd4452
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 seed = 76ae71ded1f9e73af77a2feae4eef80f87414dfb7580fb4ae0325bff20d74a5d
@@ -325,6 +371,7 @@ pkey = b1f55d9e3a707b3fdeeb5fcd9d77a5bc6f826edfc6837e8f04e2631fd7a50e527af17a3c8
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 mlen = 1551
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 sig = 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
 seed = a8f65be046001a6814f537915be3f03f3670e1169e4aaa6d7e726174acaec77c
@@ -332,6 +379,7 @@ pkey = 8f1602c7b0c804d59da6acc624e97bd6133fe4e6f2213d1cb9574df3e5c9e3d9ec9c19e0e
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
 seed = 802e08c14f6e3446bbf7f4666c8ddf7755dc718c3e02b7865ff33e9d8290abec
@@ -339,6 +387,7 @@ pkey = a889a9d320c832654c7b08e64766750c0b0142c293601ee8410c399b0cb0cfb518a60575e
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 mlen = 1617
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 seed = 23d7a85a824df3d904a511281a973c979f67f5bfaf3ab0546e85d0597f91120f
@@ -346,6 +395,7 @@ pkey = 219f8358d472afe3f946d59c629a307d35e185d22caaac4a5cad3156e26d125b697d9eacc
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 mlen = 1650
 msg = 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 mlen = 1683
 msg = 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 sig = 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 seed = fa812d8cc3a9631a0239474eb93ad3a2a3480f2d973d3324228ef92a3b043163
@@ -360,6 +411,7 @@ pkey = dda8cd977b5f8e35fc3fa35607db97f2986b1d4d131bc793bd1823795d7494b5c171de2bb
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 seed = c660b84d558a7e6b4eac47c7b62135668e0ef0fbf74d514eaa3d0d428014282a
@@ -367,6 +419,7 @@ pkey = 39826162274e46bd7b6694336821b46abc9d3db51d8f0b5463e07bfa704155d3943b8aed0
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 mlen = 1749
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 sig = 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 seed = 929f309ab3f90cdd9c21eb77a7ca762ca3afcacbfe3e67b056290835694ba3d8
@@ -374,6 +427,7 @@ pkey = dfa47d54ea735e1ac37015d78cc3e51ff35a03bf20bfc684f88be0a2316cdacc506ad7eb2
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 mlen = 1782
 msg = 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 sig = 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 seed = dae1eba78ad1568590348088aae88c1abeb59626ef65991cd76ab81198e52837
@@ -381,6 +435,7 @@ pkey = 15f9d0d26d06cd69b0add69ece2a194c7453f85796d04a62440d5119622f6ae052e3a5ebc
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 mlen = 1815
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 sig = 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 seed = 15ed428927a7eb0c7c2dc7a98cfbb77bdd773fa8747b8232a6ec4b87cd7dbce1
@@ -388,6 +443,7 @@ pkey = 448b8e9f9ce85f7fcaf1a2c0c3bbcc9e0ed82fdce983e3ff8cc819dc4a037d844b1ee443f
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 sig = 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
 seed = ba7e359b1f669783521ad35edabe97141a816c2fabf0ad0e001e21f73ccf7736
@@ -395,6 +451,7 @@ pkey = 7d6e1f0074bc19295f8d43c2de1319ecea303a216ead3b2d9d93a58cedc353b3aabeb81d4
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 seed = 9daef95c8d5a61d3a3a267fefb9f37d6e677d7ba26a3a5bfdbda8c281be89ccb
@@ -402,6 +459,7 @@ pkey = 87b9649d53376d1011a7a328af862da701c4ef755830bc3d0421137f03b40c0c7714cd705
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 seed = 0531b4105cb209585f9fbc29caa57e64c2d40f0829931a42caf7701717d9096e
@@ -409,6 +467,7 @@ pkey = 44e7afaa01466ef01ba7d58f8585fb0d552538947c39254f8bec4203490afedbeedf327d2
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
 seed = 7f8515aa82dbc9ec8cf1ded5ab58ec0d08cf686e25a8c01fb1109a3c68d19e48
@@ -416,6 +475,7 @@ pkey = d9dbe0262a34fd4d29b60ab6fa6d34fdb2857d1722dd9f5657d84c7996353fb8fdf9e56bb
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 mlen = 1980
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 seed = b323d48b567f7effffd47a7c9abf0add5f11141737a8af62b56e042ee498ad6e
@@ -430,6 +491,7 @@ pkey = 6a3dc0ff5041a75e88e10871b4d438c0bb746c428f5b9de75163624024dcb47e273811b5a
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 seed = c1cf3107ea9b283419e27dc563ecce950bea78c048a3f49fb42128819959e51c
@@ -437,6 +499,7 @@ pkey = 837eec4689b69df4925cd36db4923131d29ac3ac1f4b0f055c8dd6d73e3e952d43f55b1a0
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 sig = 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
 seed = a50fc40f0d9efa5d254943dc599f7dcc2f6d197a4d2666d5d69cfaccda560817
@@ -444,6 +507,7 @@ pkey = 77f4daa54d8f3b52d07fbedba484684bc89e2289563d34f4e9b6b4421c802f2b4976f759b
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 seed = 4c0f0ef1ca8073a562d5414584edf268913d53d5fb39fa639e02e900891ea82c
@@ -451,6 +515,7 @@ pkey = c0debca7fe579c205545baa954d756ad0dcd766b1e1c1a19625e5c33dc942f2a714f2c212
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 sig = 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
 seed = 5ba8ad9b66c93cde7e7e616a97fed8aa91bc7235fb4db086cb4021877780c6b4
@@ -458,6 +523,7 @@ pkey = c5bed41f1d4524b91b8c04d0646a6fd5e53a8b08c837b62e9d94f795c1cbf62ed407e423b
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 seed = 25d957b9bf68326d2efec93da464f43e3df16dd6571ceb1ab68bd58e87734a51
@@ -465,6 +531,7 @@ pkey = 6ceb15467f0c206bc58b642c4bbacde4406959b6b8a3759a2ffc8cd486ee0ff6cc6d7faa1
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 seed = 24f0cd3b05d964f82d3702bf0a613139808d49283286294be57e13a983c3c961
@@ -472,6 +539,7 @@ pkey = c702c4f190d355f9c9377128fbb818e39658097e04aee9201f7065ac5b27ae65bcaba8ac5
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 mlen = 2244
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@@ -479,6 +547,7 @@ pkey = ae58c1a3facd6972f42739b7921602e51577b7ca885468544b000dce43b36e972f3057959
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 sig = 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
 seed = 6a27b1666ab6fc4483d14cf84ede49fedfe05bb24e008ae8a01c52d83b8d40fe
@@ -486,6 +555,7 @@ pkey = aaade0bf29948eaeebdb3a9b5bc962a7729a4026e79929a457d5488d40985b296559845db
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 mlen = 2310
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 seed = 2a855572e7e2add2888022bdb585b61577a75a31aa8acede59acb27eeb2936ae
@@ -493,6 +563,7 @@ pkey = c435ba9281752ce4731430dfa63d4c05280227a9c3432949d6ebbb7f5327e72b32c93219a
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 seed = 7967e9de70a7f95e69371f812c2fbf932cec07ab4c235ae9e8a6799f3f537d36
@@ -500,6 +571,7 @@ pkey = 481790f5476e7fd342d746c51113c172751930e51fa565a304a1eee2e2ae7f409e8769368
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@@ -507,6 +579,7 @@ pkey = 40a0ae510d93a5bb64f6d765f898a368792820761d76a6993d754fe4e7fb4d5e492367c0f
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 seed = df4853f482cc1d0b3a2d71e9eaca064e57c5d100df79bd004ba81b43eacec401
@@ -514,6 +587,7 @@ pkey = 3a2793dc38cba2f36db066f8f55d7b6729c195aa00e988511ca354705c38e799854498f9e
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 seed = 95da16b844baf559c2cd6e68b237614bb9927d90811106347b5849fee2f48640
@@ -521,6 +595,7 @@ pkey = 58af116eea69ce1a26e9d30b703d782fcc5f29a80ee143cb73de30f664a8ba4ed73a3729e
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 seed = f258ff1178cc42a3cebe238c8418b4974812a05f43b8fa95639cc46bc0738bc5
@@ -528,6 +603,7 @@ pkey = 10fe2116fee80d6d9639f61b4ccb8263c939ff238347a69d1a4f258e822f858a051bb54da
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 seed = 5efbbbe99cf5c2b6830fb8e990250be308e662200526889ea973c8d33823ec19
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 seed = 47a048d8799784f6ec385eb984e70c62ce7c8a107232871b69b99f7bf4c3dbb5
@@ -542,6 +619,7 @@ pkey = 1fb1feb1d4f63af9ae4003eebc906b58d4238954fa98139927cfb5419a3115a8297684aab
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 msg = 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 seed = 1d9e243a35118bc7c50a50746e1cf19c9fc310c7d54181fb95f44753eab1b94a
@@ -549,6 +627,7 @@ pkey = 9c8d58f80f7e14fb50e5ecfbfba742f1e29fd7da1040cb12e07f2ec235e6d92efa44dca44
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 seed = 0a46fda6ba71125f3415e8bb6c2d8c00601107fa563e7f6386486a88f87701fb
@@ -556,6 +635,7 @@ pkey = e7e5f228a0c97efa8f5ff1d0189161280844372f9463c61a791746584ef00abf773193cd9
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 mlen = 2640
 msg = 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
 seed = 5229dfe11090effbe94ee161054cd5ff58b31e23f567b282db42eb1fe42e44aa
@@ -563,6 +643,7 @@ pkey = 730ebca946d05b5680714d3de5c2f7e09f4b29f5929b38798f7c1db79ec0d9179bfce214b
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 seed = 18aa77795aa6d7ade8b6cdced81a1959a8329677f042283dc8ca71e13eb3adee
@@ -570,6 +651,7 @@ pkey = 7b2ba93a78f89a116ab7ad274a78f9b0c809ea0938b510709a192348cd50572cae403ee3b
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 mlen = 2706
 msg = 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@@ -577,6 +659,7 @@ pkey = c9fb8933f769e24c73d4f2d8be98b79c05db7e9213b039b175e540225397169e52338e6a0
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 mlen = 2739
 msg = 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 seed = 196b8144dfbfb47ec01e96a6b8443211d6c9c4aa7853a8131b5218349bd6d953
@@ -584,6 +667,7 @@ pkey = 3e867517b847aba29e8efc7c33f89a353c2f953a7c043fd3656e1877fca932a261448c78d
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 seed = c171793029d0cbaf8d2661a823243ad50d67f2619533180f25b50c94b1310389
@@ -591,6 +675,7 @@ pkey = 1f73b63c95e6bbf1d454748bdd4dec6d3e9153758979fd12163b3aac929dc114cc79423c7
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 mlen = 2805
 msg = 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@@ -598,6 +683,7 @@ pkey = 164ca5ead1412fd79e3167b7f7bfe18190c810316f37c3e75af638a0240ee1b1e05c49620
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 mlen = 2838
 msg = 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 seed = 626c19b8553b2d9e5a47a758615d80b15be11fd016d3a1962d8de58ed5ca2219
@@ -605,6 +691,7 @@ pkey = 92d8682363c4bd6f42a49d69d2437251d8a26af1225d8f3b32e7f8bfadb035ba633f898d7
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 mlen = 2871
 msg = 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 seed = b0d4ba39adb4e8712b3a3e6495aba2f04a29e45c68671a960bc0d8d89900c97e
@@ -612,6 +699,7 @@ pkey = 0ea33fc56db7715252bcaec8d0e77739d4ce3c6845d741467849b38ca852a1957224142ca
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 mlen = 2904
 msg = 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 sig = 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 seed = e04328a783c10dacd96702d2e726bb11ce4ecc571564ce7cb10722d1c98c2842
@@ -619,6 +707,7 @@ pkey = e9d1258056c50241c5bbcd8e50894957d9bc2bc57aab3cbfe624aeffb4f7a0115b5a8c1ad
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 mlen = 2937
 msg = 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 seed = cee2e53099d8cb576f8f76c5c155470f87a6ec5f7d73256a0a2aee62cbc53597
@@ -626,6 +715,7 @@ pkey = 617ffe99c53b1267451a9d4e20a9564e19ca7080be14e622e51e9a62c9885a6a8203f7daf
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 mlen = 2970
 msg = 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 mlen = 3003
 msg = 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 seed = 2b2bf7cbb0957a86bbec97001b60c7c6ad98a56e94542ff561f78fed211da755
@@ -640,6 +731,7 @@ pkey = 58eef138a2d2ef190f6f732cdd4c6d40d3652970dd174ba03782269c97418919ed68d7ec8
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 mlen = 3036
 msg = 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 sig = 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 seed = 049569cc5fb969c6eebb8aea1af1fcaf46f8a9e6cd6c796fc7193592bca9cf23
@@ -647,6 +739,7 @@ pkey = e3b5a2f2ee49231383c023707b5ea5cd6682cfe4b65c0a8452ed137c33cf2b52457b60017
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 mlen = 3069
 msg = 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 sig = 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 seed = 9d89b9a327df0d341cd2968ba9218bbc3e934502cd88919d8bb16dd3d39febf7
@@ -654,6 +747,7 @@ pkey = 0aefcfb338d198c54b14e3ba71acdc4f9ade5c95e02862f68e724329ea220b21cdc9f29d5
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@@ -661,6 +755,7 @@ pkey = e9d58c0ee0b2db275be53870ce3349a856d50594873eef947b394b1828d11c82601e593ca
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 mlen = 3135
 msg = 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 sig = 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 seed = d9931e321732bd82ec9ca1df12ba48549bfc7d3e76a404b71892f4198777ffbb
@@ -668,6 +763,7 @@ pkey = a7f3412319b06d3511fddd81eb9c479e1c6ca8e33acdf53964be7957cb853d9f6e197ed19
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 mlen = 3168
 msg = 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 sig = 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 mlen = 3201
 msg = 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 sig = 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 seed = 8e4334b2589d0caecf0fd9ba584ea26a4123d4543a8a0fe126d4a7e07f6067af
@@ -682,6 +779,7 @@ pkey = f9cd5d926a9e205f1ece49e62a71eca70b60a94f6ea76c322121533fbee293a43c71067b1
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 mlen = 3234
 msg = 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 sig = 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 seed = 37519a02e8021f2257259c0d2e499af3533c8ed8dd5bf7751cce920d79b518fa
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 mlen = 3267
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 690482bff6c1d0ba6c071dd395adf69e55e1bfc4e0992a8650ffb5e60a02b172
@@ -696,5 +795,6 @@ pkey = 0be5ff5f64e309b8bd4d60d6302b5a9669979515352e32eb57bb8868fb19fee331a6fcffa
 skey = 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 mlen = 3300
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
diff --git a/kats/ml_dsa_87.kat b/kats/ml_dsa_87.kat
index 3c0ed76..c2a8aa2 100644
--- a/kats/ml_dsa_87.kat
+++ b/kats/ml_dsa_87.kat
@@ -3,6 +3,7 @@ pkey = 1c0ee1111b08003f28e65e8b3bdeb037cf8f221dfcdaf5950edb38d506d85bef032369a2c
 skey = 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 mlen = 33
 msg = d81c4d8d734fcbfbeade3d3f8a039faa2a2c9957e835ad55b22e75bf57bb556ac8
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 4b622de1350119c45a9f2e2ef3dc5df50a759d138cdfbd64c81cc7cc2f513345
@@ -10,6 +11,7 @@ pkey = b541c1e92ceadd904a09ec08ad306d974734a077868471e58d077187c46604cf2cafb72f7
 skey = 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 mlen = 66
 msg = 225d5ce2ceac61930a07503fb59f7c2f936a3e075481da3ca299a80f8c5df9223a073e7b90e02ebf98ca2227eba38c1ab2568209e46dba961869c6f83983b17dcd49
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 1d836e889e46259bcd1ccd2b369583c5b47cfbb919ec2b72c280247cb15a5569
@@ -17,6 +19,7 @@ pkey = cf39b474ce5d8eeb353c885dbc60d2a95546f4d2a97b9f0e46c5e17c1a8cc1390fb0372c3
 skey = 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 mlen = 99
 msg = 2b8c4b0f29363eaee469a7e33524538aa066ae98980eaa19d1f10593203da2143b9e9e1973f7ff0e6c6aaa3c0b900e50d003412efe96deece3046d8c46bc7709228789775abdf56aed6416c90033780cb7a4984815da1b14660dcf34aa34bf82cebbcf
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 539577cb7f2088fbedff1b53f235d607321857db32bba645f8df3a89dd426552
@@ -24,6 +27,7 @@ pkey = 945c75c48230174ed23789ccb96a2d73e56708bcee08de339cc6dcff654f7fbf5d1e622aa
 skey = 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 mlen = 132
 msg = 2f7af5b52a046471efcd720c9384919be05a61cde8e8b01251c5ab885e820fd36ed9ff6fdf45783ec81a86728cbb74b426adff96123c08fac2bc6c58a9c0dd71761292262c65f20df47751f0831770a6bb7b3760bb7f5efffb6e11ac35f353a6f24400b80b287834e92c9cf0d3c949d6dca31b0b94e0e3312e8bd02174b170c2ca9355fe
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 2ca59c6cf33c53803749f69ef5abfa9482fcee7efd87fbf17135ecc3ff3fd7f7
@@ -31,6 +35,7 @@ pkey = a5be845a57bc4f592e37012ec47f9d3669e3285a7fff5cae360f592dbcfdf1c55f882a709
 skey = 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 mlen = 165
 msg = 1cdf0ae1124780a8ff00318f779a3b86b3504d059ca7ab3fe4d6eae9fd46428d1dabb704c0735a8fe8708f409741017b723d9a304e54fdc5789a7b0748c2464b7308ac9665115644c569ae253d5205751342574c03346dddc1950a6273546616b96d0c5ece0a044af0edefbe445f9ae37da5afb8d22a56d9fd1801425a0a276f48431d7af039521e549551481391fe5f4ebfb7644d9f9782d83a95137e84ea3aeb3c2f8099
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = e17e72290e49a44c9c534f211195257cf13b0d45405782ceda2d7f982a551721
@@ -38,6 +43,7 @@ pkey = 2b37777152beae15cd70fed3c8dd2819ef9c422043f7ae2b652c598258fba80e22143ecb1
 skey = 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 mlen = 198
 msg = dbe5b6c299b44f8d60fa972a336df789ef4534ec9ba90df92ad401d1907951eb6285eda8f134277ab0a1145001c34e392187122506aa2dbb8617d7943a129eb5c07df133d7ccde94a7cb7f1795c62493ed375353d1f044257da799f7d112c174fbc35687e2f87fefbe2d83d29d7314b30a749fe41b1b81095638f112bc4563420af235280e466ffbe7050c4937c60fc18d1a6025bcbd489f0c538e088e906abe8597e2c8ebb64f01d225c847aae4b77bae6eba9269962c4b94a9732ceaa2cb4093d442ffbcdd
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 3b7388e675de5c59a78af095481c7dd999c6eea898595b1e7dcda7edc3a2c25c
@@ -45,6 +51,7 @@ pkey = ef2b7c90be998e114415c25e5cdb04c90071a86a3a240de4ec797d7e46e0f6866e01beb40
 skey = 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 mlen = 231
 msg = 0073bee97fc97c0fbc750d474aeb93189f061e1a5cf6600c04fb0464338ec7e85252f94fcbc7b2bd00e438480d9af3add92a92e3e2e8acb55077c3278fc7503988a76e9b6062996b20889aa55b343d5a003c8a8852d738f955799fa3426be5ccd3aa6b6eda04d4884941ffc0b69c5acf12b347a74d0580cc3335ba816200f87674a4c1d98097c70f2f27c74e94a661850610ecf4847ab5b58344f958c5719e06ba396225bbe21acb0fdc512b885d391e11b0c0ed5ce6b5dd8faff91f50025c69d43072f7706d80d9fd786e1104125d79a5f4b5fd838815d44fc8b1ab678078cc174dde970d448b
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = dc9f40cabe2e8e4f3d1538fbc1ada27b61b99081455ab0c4c41b5b3da8101000
@@ -52,6 +59,7 @@ pkey = 2cd04a91dbd7826e4f99c13e5ea14d1a6e7a8725e5873d61b456d64cf59be90e743f56ceb
 skey = 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 mlen = 264
 msg = a1586245d81f96bd8ee81aa30f10c0adb343d74cf72c4dff71550c12873af89fa1874d4731c996243c3749af3f6188ffe9fa45430549045134eb29ef3cec37e72904aa082b1c6161e6b52361e49af4933a8d8c0734f21cafd7467b0c02876f43211d6122e3e735fe36064df7a0c91449237c2bc7c3a78ac7bb0f9567f2576f05802c872adf183a87aa3b8217188f2f3535f877724f35b29e545de4bcf258f13bbc7edd8c6587f733c9691f74b4151cf8c060c3ae9e8d49fe7c77bf477dc9f23fd0f0b67320275529034b84f94176730923c03aa50f9584d9c2d60b8dccf85a13f243f30a51abefbbf2cda602bf3d75e849eb92422b808416c7e56b046ce38e4677ad24d23d7237a9
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 1dade637ae98c393260f5bbbe288373100dd7af37eba913c528d2b7b998767cb
@@ -59,6 +67,7 @@ pkey = cc568aa4a3dbbd508e987485b26a8cc116511265cf26166b535c09160541f87b3b3654a31
 skey = 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 mlen = 297
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 8866693cee12b909e32a0c64381796633666417e1246b51a2643564b464b4113
@@ -66,6 +75,7 @@ pkey = 2cf2986b5f5355bfecf2add674881d6df901a1b4443c6c737a7f78fc7cc8132170d9c30ee
 skey = 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 mlen = 330
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = d6dad5b2746422f4487b72536d70df88af4b2f9040aa45999f8d7784ef696da0
@@ -73,6 +83,7 @@ pkey = 698c191e1ada2751a3033f56e45d2a71873618d0a870beeffef47a60a2a55d8ee5c360d61
 skey = 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 mlen = 363
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 68e7818f33b97ba6166768c395bd010cef7bce9995891d164303b53c1123a991
@@ -80,6 +91,7 @@ pkey = 926fb9e01874d732e0471ff0dbeaf5d33141edc6b70740ff1d44b701fbe1809cf23189903
 skey = 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 mlen = 396
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 35b153a7706109d4a13d7c4b26aa5b56d9e3fac53b47e91b0c10bd4e0eaafc19
@@ -87,6 +99,7 @@ pkey = 321429d73a5c861bae4c723fafa31b4d62d09142ff1524daca9143944f176190fef0c17ee
 skey = 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 mlen = 429
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 0e1a1634fb2396e187cd8980ef29663c42dc3ef963ccd491f817a84283a11fa0
@@ -94,6 +107,7 @@ pkey = f9dd5f7ddf9ecf752eb35a36d65b238f4eafc6a96d87c988eaf592ab809b497b20609cf33
 skey = 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 mlen = 462
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = b0bfa060f1c1a70f1ac55e321e6186a6613605dd732574b5fe6e14f0ff6f7a82
@@ -101,6 +115,7 @@ pkey = 9d8c102a863b46476b536027234d5a7fc36e02cccc098543974b4bba8efe6e33c8a7f6883
 skey = 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 mlen = 495
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a33bc0a7a08c13c0d4c1174ddd886aac4c5666e1f4831f006c9519d36b2ce882
@@ -108,6 +123,7 @@ pkey = 431a0b985cd3329c299ff2cdc80986397d0f159b49d8c72ad434400ab7ff875264b8f1bb7
 skey = 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 mlen = 528
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = c7e33fa5329142b668ccdde1057eb7a8619397537f2b4c6d6755b3b9ff936441
@@ -115,6 +131,7 @@ pkey = 4ffeb4b10e756a3db74968d17e5ff126584030a7c2d6bbdc2ae8cde4242dfeb01ad0ea6ed
 skey = 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 mlen = 561
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 7611b5b7d4195d5f8b97244b6811748efea929ea272e66435a36d0bd16e3bf21
@@ -122,6 +139,7 @@ pkey = 22ccf583bcf152eeb3fa5a738d87512c2f5ea67df073d9787539e75872df300fa11e77695
 skey = 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 mlen = 594
 msg = 576289d10ab03d5699eac322d349f55c547101e4424bfa43bbba3747b79f075ae1153a7a0ac8bb51d24fc46b7604e42efe4343fa34aa4eb16d918f25e8a4d67c860cca3f7480e1221ed3ae13a138f079fc252c6d7bebc55cb81b86e74f339614bebcf7e8f4440df8678b01a4a41b3afb1d112fe1c4c8d8c6bfe9d3ee2a335d477c60fbf43b2e5fffe1546f5172ef51cffb2a772e1575eac79b24d49fd77f0be351233e57ee6dcc7e2e29994873abd434d34ace83400c026e27e27888ea0bdd1bde5a3e55aa8b5f2feb57b8b0a96cd831906297c8169d04f15843a3249c50523cf56a4e19492ea16927dba8759b88a99e0d20820e51fc9b6a6863115cf05c5bc3f4c869eb5a87124df5db102d737f3899cfaa5fea4dd62dc4fedb1aaff67906adaf8968020efa5b10190f70e5f2c0f0457e4341bd449201d3a80aeb791254ec1c46ddcebc3896c6df702509ba62cd446d275806438eb4c03132b2e6bd01bd2f832d1d3c053c48c5a9db1c4a22b130c4c9e96a2bf4c2a8f7de0217a52d9aa5aeee5e6a49708237eab60b4019a51390c3ef10572a73d436875bb8d7d78543f96376e4bf3bcaabb92f89215e8d1093f3b287945708b5514bd7e62654d3bdf34b29009c64829a0cbf33c54d7ab0e81b81bdda93028b341ab1dff3d752dc4a1e5f9636a5c46e137ea35919d99e6571c5370c6e804bd2e2abf566f035d65cf8f97e3e8f2ecafa153bc6d8ec2831667a37fc96d1c2da40ba84d0fb041def32aadaef3f98cafa957f6552f79d28a36b8ba20a9452671de1be8af5d66714232507edb9ff657f3d7e5fa7320fc0359a5f99280d446283bc
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 5a1e3e05c72cef1a73ef98840da035e4fd2552912db8dae28a79011de4bbc1a4
@@ -129,6 +147,7 @@ pkey = 6eadd24e3908fc3b2f1e4a2f42078cf3dd7bc3bef2f7f9c5ce17b78499177b142c46ac4fc
 skey = 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 mlen = 627
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 8f3920a235eec3659cfcfe62931474204eae264959702f901d461b66d9bb563d
@@ -136,6 +155,7 @@ pkey = bd96432b299699d1976636c4a53c125405e981b06bfd65f7fe30c0ba5020edc6428681ca2
 skey = 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 mlen = 660
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 0b2b3eb50681403a0b9a99b25041a489c6d45d2a49de0ec83e1fd10922abe2d5
@@ -143,6 +163,7 @@ pkey = add274fe95aca54843b5f2a8ea5c62a1f8cc2bea437253838b90b7c46e91d7106f98fa3d1
 skey = 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 mlen = 693
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 8217d32cd15658d39cdca92c41b59f5780869a68838a3579dea48b5e3ea768aa
@@ -150,6 +171,7 @@ pkey = f9c94595e9c502e8f00890119b07a9f7046ead963b3244a16682936bd86305c1e84598ac7
 skey = 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 mlen = 726
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = cc625322c9d52898e7f60ae47bc2847e20f3722794de41e30fdb20ca1a093208
@@ -157,6 +179,7 @@ pkey = b281b65084622200047db5d4a53e840cfd986ee70325d3369140ea554aa95b05515265fc2
 skey = 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 mlen = 759
 msg = 4c4697a7d8195bc7d4b8f2fcf3a7e9419e8fc9ac6bafc5d658260511c697286bfe44e2ce98c21c98be42e5af0fceef8aa54c5770af287a81c7481fe3391a6111ae6243d545b2a651599b45931d7640579f8659a8bd6f77260f235f71476ed64714fddb70c549cbe089322130f7b0a21f530508970d55cba55baeacbedf684c7979078102ecffc2c3f182f710280cabc2decd3d3b5d3ce908cb2307b00fcc0c5412a12aecd041b5f70cc0149390312b9c81592bb0e2ece83d4495944e29aa798de67fd69e2bd0695dc573f78d8bb48e6b8679e1c50d1e6e58e218b77ee51597eb43ecf7301d86f457353d60e98cedc95b4a76844e889bf7e9d03503757569e40d55ab43d63293eddbb579fe981ffd4dab056f85006ffb5e759b9c16f5f6b235d7dd78458a73ef37118edf599aa504e9db9ab5dbc90b8e478f3dc1f35a7c4604a383bbbb410cfb2c5f746f83ef94bdb2f244d421818c26827d5b7d665b8a802181eb7a9ce95b6633e24d914feca7e969f64038acc3009b15168426edb67af2ccf4e859f5c616891d355f7910acfa599c396bbb2d2782cbf1432e6259faa77730b6b86fe0d67730152cd2ae0f9b0314048ccd25772c01fc9773ebf06618a8ce1e940f48663427775990cdc41c4dd3e9ac6eda1ea50e04f1d329e64c8532a7ae32238c131753d60a25810a5ffbeaa9007a6984ef69eed92b777e079ce0ff48c2aee9c18d1db9f49b5419ec6c0e2212ddd2e2fdeaf0fe9f2b84d9c50dde86a70fc28bbf8918a973cc67a36e97ce3027d73891e7aeb24baf4b12a9dc8aab5d6afa380bfac3703d2d32f1e40fbb532fd6d7d710dc0741dfc7eabfe55ba5c311a00e3be55c2ee74155e3a06685071a962d7532ac76d59fc187eff01f8d339f74323732168fa5d14f4b2a72c9164a04a6ef14bf5deb1833e4baa19a55ae590f542d4448e0eaff0e0afd2fb30fd671631b9325f4a0bac9a43dcd2840185a2f601117a625b0dad5503578537be2a535d2f556f371536bcf68c0e01c96301f08e1567dbf9d8504096a8fd89c086db695da191099fd1e8ea94035276d1d
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 950226d6ab0b774c5f439afcfd0113b5dbf5905960c445f5e6e03e5d5c687a9a
@@ -164,6 +187,7 @@ pkey = 1de75477423f0979c52e68b9e055333ed3de68a8ae6b5df82807a6c411b9ca57d5f8ba3f1
 skey = 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 mlen = 792
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a6b534767a6d839fd19075ae0ba10147c46862bf7bbcbe83f2b72f72f1368a1f
@@ -171,6 +195,7 @@ pkey = 26b7c30fceb4ef5d71d0d127f063404285744cbfad52a8a7c5029dd57a45ce59e4ff83e60
 skey = 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 mlen = 825
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 103164ed522df0db131c15e139c0f83d9b1b7a1b6ecf7f89a5248cad7e68de8c
@@ -178,6 +203,7 @@ pkey = 8f70fd6b69122d1da58fbb275f70d9eeab795e002d2889468869e5c51acb94eec2dbe3e4e
 skey = 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 mlen = 858
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = bc962d978f38881085c1b813bc90eee44ad9e7651681c20ba46402f557c454de
@@ -185,6 +211,7 @@ pkey = afe9d17976da571a2e0928897764c4582fa9eff50bda236e80d001763cd533d62226f2fff
 skey = 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 mlen = 891
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = c3de54854a4060ea09ed92a363f71c7863eba64195e9ac79e7ad7eb6a183cfac
@@ -192,6 +219,7 @@ pkey = 1b36ca8231cb612f0fe9a60248cb6e8049ba7f61c74bc80f3c0c3a5a8e058fa2c671046e5
 skey = 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 mlen = 924
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 828b9804524bdd17d0eb387368b01b0e95b4960057ed63fc2289d858201e207e
@@ -199,6 +227,7 @@ pkey = fb9ab3c9ae742149675958fd0899d48d845b290291bb507c5fd42fb9e523146b8f1786ae4
 skey = 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 mlen = 957
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 4a84ca5c3954faafa11ae87fcbe701ebb5afbcc5f8ecae7786d10821e01ada5a
@@ -206,6 +235,7 @@ pkey = 1c0d14f1c1e76b9bf996bf60622d3c663d073722e85564917387882c2303b452ebc7c509b
 skey = 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 mlen = 990
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 3e74ae2b1d49ee6f149076f0bae2d26a5cadfd5de7bef66dfcae6b588a1f4067
@@ -213,6 +243,7 @@ pkey = 5c7ce327b828bc8d4b53a66d21e316f607d9c8e437f3d38ab2875a4d4170ee001ed439fca
 skey = 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 mlen = 1023
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 39550bd2782d66fa95380f5f101d827377b11410f8bf3bccfbe0e504fc09ae38
@@ -220,6 +251,7 @@ pkey = 20872f64e1fe69773d60fddcc67f2d9deeed8289ce17907abbdac36204805e06692fb1049
 skey = 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 mlen = 1056
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = b18f0fdf9dc4f514107f88cc43fb29190608ebc5a2cd00b49fe20631761038df
@@ -227,6 +259,7 @@ pkey = d6f7ae243ec019b388bc9107a4faf40c66a8529a3ebd79e9bf4118ccc9a3f92c730044fa8
 skey = 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 mlen = 1089
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = d4fa14da39548392300a41be413ebd53bd7bcbd045b4d3c8ca44abc9599e269d
@@ -234,6 +267,7 @@ pkey = 92926a6068f3f91e4a88143d04a9ed72b23292b7672b4fade24fbbcb09f9b4f9953b8f295
 skey = 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 mlen = 1122
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = c796fd12d1feb1df46b162c38292684c09059e4463cb95dbdbf498a4dd4f7f00
@@ -241,6 +275,7 @@ pkey = 417ebf9322eaca73903d9a2ac8056737efb18c9117b52b61a13e2fdb89f7cdf9d7260c719
 skey = 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 mlen = 1155
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a18a366a5ecacae4732dc9e954333ead153203013bac4e3c50bee15269f983fb
@@ -248,6 +283,7 @@ pkey = b642c23a6466cd8b2a6511566cb9944edb585b1bb16e881c927a38424a91ec0fb2b03984a
 skey = 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 mlen = 1188
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 585e714d565aa66078bc2b12699f1e86c6ff30a1abc8cbd19563bcddd2f1f6d2
@@ -255,6 +291,7 @@ pkey = 0c6244ca381e425421508b85b47f9bbdbb10e1f0172c28409ea566204c3151ec10f3e7096
 skey = 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 mlen = 1221
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 662cf70d3d5e95a9c6a33bd7c6abf0e8cd23ab2d2d9420878c4835de14a6c606
@@ -262,6 +299,7 @@ pkey = ab98c860699692bc2a6a80e24d455a4039d24b98f8ef218b8ba6b722586116689cc265ce6
 skey = 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 mlen = 1254
 msg = 3382e87ba70ea986a044b0cba2eafc3316c1ac95a5f16f6368c210dbeadfae6cf2382ddf5078ad594cde3bd1a837c517b1a20a2099d938df6aa02b6c0e62fe6147c904bcf3ede51ddda60de7887dfeb2866db402d23e5934a74c9ce4852d4b2f53cc9bcdda312964a548f6f7c8320af1d1bdba7fd32ec6c86bc3fcb4205ed3db092fdcad9ac4d2b8575883e13f69d8c16cb18d1b9284b31823ece917c905c5c8b9d180c1bd87975871014f773fb57d402b8fe16ee312692665824cf0bce4509326a31957319364cd421e9b21bbc1dff663ed850858a2450c2ffe64b65e009a3999ce4504ba5313ba0ee4a8843349c30fa6e59fd3aceca130a37c04f9b64722608768973996112684b64d0c87bf95e5dd60661935831a6a1a9575ebcb2f64a15296be788c775d80523d6bb4267d91b0c71ba5f90ddf1933de898e79fc7e39d0a3d146f185214468da50aeb47402ab542e52ceb768a70cb1f749e4164cf20e549b674ce965ffbb98d874d34b5b7851e575e6c1e4de9c170a10dab84940af055a951260b0119f5acba320b55cdce4f16346905a2073cd9fefba95734e4f4dfdb7a33f292d45698831f1d3e9fbf56d9692c14a8f9887265cbb4441ab331d977e3a68a1bc9f406ae0fb1c6e91205670641b9868e2a987baceee2364fdb089a63b53976d600bd7a8ae88a02872e46927269d281cefa385c98ccdfa6609394943fac32237368c6203aafabde072054ab5a14a91391d5a943f4ed4a4407f275ccfd15fd28f1ae0eb6edcc6612e3436572919e4dfb57c049bd77b344d8e04152863efd4fae8fe3a7230aeaaaf82870820085f4b3eb5215111b6b8952cf2ff468b3d10f3af849f16e190e9560f40b05e6e2204591b58a850e2710f7043aee2a44a6d4a108ceedeb2d216e51102dd08751925de6a7f67bca1980f0789b34e2f86729621f2285c5d3a036cd87c76102e9d607c37ccdac8062ceb961053f3195b5abd88bc64fc65f8be34166841683f1eed291938f75dfdb3af4fd2aa98ce95382acfb5d5dfe6ef243c8a0b19b80584fc0cd533e38bd485d1c52e0eb5bff90c0a947d9b9095ac1c0ce9754eabfc860990206b981235c7b612db61c9fdefc0f14dbf68a8a0ea4986cdc4aabad6c218559e11cceecd804eb98446fb33eae47c0388bd8972ddac02ce807b707d6d188cb31a1d76d44323e93dac4f8ecf77e7896c052ef16009ce4d1147df84fd5785d95d77310783f9aeff1dda693f4bed26457ed82a1cea19d9c4919257e3050b25a7d1ce7561740ddac3fd93a607c79875e050e40498bfbcca95bdb3d0fe639dc7cea80e3dab3ad73a4265f012451c1bcc2fda1e1aebb7fb18407f31e7496e2a18d2c686b47120688240a2fb134a3c314d4cb422811e850524684ec485e061f7365494a6403af170da461a3bc32ffaf9143d5e9b17b2285c56977aecaf880cdd34f26120dac4c950198233a50654efaca6ea97333d2bbc024a5e668821d20333df0b712510100aecab6b484ccb7814178f851a3e6ba0b76f16c4685d5ac8ba48558d382abecbdcf0b919c1acae46ebeb5011dd0b3c22b539810720cfbe4cbadb111e100c09c811e724a67c66a1b89eed1e7218861f55a4dc55e236c6e3521dcb374437a14e8000dbebf0f7f9bf409af952888675c11326d9e3e8a8828bf50caecff96075cf29446cada373529d310660cbd60c042c143e1736fe7afaf6fbe42791a8db01ec0475145257fe2df766d4ea972b14ae5110b8f8f42d659383e9bd76
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 1924a71628292aa3d2d34ea72e2bfc2520864205f54ec6f19f7714733aa34cc9
@@ -269,6 +307,7 @@ pkey = 7adcea32c084747dd4e22e14966ccd766d2ff932a985f2ae5a8725ab71a925f2820274444
 skey = 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 mlen = 1287
 msg = 67109894c579974373ca0054ed5f7c373b7aeb810721c3d9cefa02eb244ef6b17507300370adb24ae0173c6d114c51e05f822a770318033c082b6502f70012283eda2a9dc0a1381f145470e5d3729d201773d2aa63c18885a92c962bcd3628835391d70dc36273dfaa4966f65ad40eb51fb4b416a8d0b1ddf39cb932ec4503bea23e3d9d3b4501db426c6ad99c28d415fb565f62eb5c22bb043c8cafc42ebd1c7190dd32a5b14b571644471453740c081f3e3305f9ae70a5bd505874382ec0f6e2188563e763bb8d1bb8b16587ae25a6252f51e4ad02d0483c4a6e8aa2849c44629cf4b7c6dd6a5fecdab0f9b2f0b35e306c7532b64bd5a3ce67a0247d97024aafe5cbc13e375aa69b8287bba9ddc9aaac2bcf41a71e373ee36b13df9f829bbee8f48802dd9e03be42a5e290251bb130e0e2abcc4e096dd0f264e5d29f8c2388a0c3010e78f2a03f5ba1be13aa5e50f2ba67a031ce3f787754b8276ea1af62bc5fb4dd9a9b9bb84217a37eb9fc7aafb517337b30454200d6aae491e50d5007eac2150f60f640a5c4624ce6d8112119413731322bad9762bcf72349ee38e2a41102bc5461d72033072a90e82d105e6fcdaed9c223a4142cd55920196d7b1b9278c84b67a2e35bde3c9ceebb8e9007ba8758bd35c875dd5fa0a8fdaaaa9a09629b9df69afaab456e105dabf2ac5834b8d223b0a406e0d1295c876c447e8e09c93fb09ed1b3ef6e1f3b7fcb029f576a45a12620567e05f218bc3753109dd29ae0ade1370c0f871ab5ad8a9dbaa277fb869ee552e8733e73886d6dfeace6b35e481f37a516ebe191daa6f83e4ff453cf9cc9ddea8ee507af0e62ef3cb8c22949cb828e21c6aaf3fa9ac301e2257b0a054ff0a237f527d53eb757820af637ffc9f983a2b5aff0b4cc493e610314432c9c2f0ff73c4240d520d1d73721b429ce41807b7424b14f5eb1cd23d5562263fe1d58cb1d52e5175414800cb090242e240c3a7acad4c84dbd8abc2731fa2b1d9820da60fdb6baa7ea849b6a146e07af7fc201b3a98e5194bb5826945faca3690209e5726f070a71ee07ae76adb7e6199fccc81c8af7a463633a58873b4f7e65f522fda409979de41cf54f659e66cd5950a3a3e01570526c46417a00ec2e8821dc380abfa21384d141d259cbb9722f267e46272adc5cc4bce382b554226996f4a6a1605287276c18a48c8ff1a92ecd2815ca5452fd6157fc27532680022993535549bf9ab064052e6db4e9f83b5d0d885b94a90f59e67b9df0c321eb0f95ac07007e4ee33ba89aabeeeea01fd1172eca4e31fb02c507ffe43cd0d6c8570769a180e68a70bd344b4c992e7d3a6bfb96ac4d69c2d4f5efaca1d348dc1988de44b30da76babc307a88124f96f26737a85fe6047e7e485c7e4b6b99b575faedc9baca3e080e2b074cffce1f716c6a1d08234c45706d2883c6e5a001d02596cfe5b260de6134c75df3ac8bcf1919759e15576ca147cebe041d04e369bde70cc64157aeda311c8da520eae907c33e30dd89013e24b7b02e66c9f285bf7d5c3fd65bae24ab20d40addb451ab4bc4b9772d0b9039461bca8d3d2a4d71a2e6bfbe7f02325fd571fcae1fb47f855612f382188a5fa3d61c3e8e59ef016db0149c52e1c7dc84030e6c93c4f32da6ce5f3b8196affde834d2adc26cfa05940055401891519386bcd33d85584d74b2f16d8e19556c272aee8397a1741effc283dbad317740c1b67f8f4b7d2d1edd68d6615eac3f8e3cd26ac4f8058667fb388b19c654711b5b2eda75a9ab55174157cbe08c186a3d0963bb3011a9567bd499ad2a8
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = ef7ba21809ae7e0bc3230b6061c5fee206d805572cf1345198e1ef22a8fe7322
@@ -276,6 +315,7 @@ pkey = 33075b839a2c1e78a91a0dfbc761719c0260f609cfa5ed6c1735327f4d868d2651439a255
 skey = 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 mlen = 1320
 msg = 061934748c6758ecdeddf3a2df78574a470621496ce3f12e5e4555febccc1a46a772fcbadeba8b2eb5231b5b15deda5a38076c737e5d091a8ca8482f84ec4a20a51ddda391088f2c3926f8e1d8b77dd0abd606e9ac25a17a86a5c75adc215c5030355c4a1b307c1cc80a3bc4a7d4b4044fd35d173a2c7c081318f707828a3438dabe0836c2d6c14e1643f05ef8405531d5594411ae4dac6f3992279cae379d7c1762b122037301d3ffe8efd1beb4e027e055527d485d0871f2013e7b25cc26531c2ca6ddb98b31f0ac2c3bdf400a0bae942c9d4c4003f9952b67af67e85f572edc3345a84b6dc3cebbaadb7e3c876ab2da16ed0eacf4858033bf5a4f739f9e083a345c2bb5d8611dae90d25ac45d8b3d39b4de584cbeaccc6f5b6e61524349b50e818bb6b03c7e5b86795d49324ce6b1603791f20b3500a1b8ade82359263470d777b35dba38276096445842ba5d5e960fb2ab58730f970a15aa42d9737c33be700127a7ce7cade024d3abca59ca49f9a7edf44db62ccc07a595016868aa97a140178dc92530eff864c24954464ba886db7d74be7b540baaf807f1aebd014680ff4a51e16e1391e32069ee823f3d23db72244d657233578cb7d29a33e6ec31df1fdd43b51742cc30efc54be83149177e7bcde4450dcd142eb2cb745f8865dfd99dc84ab92750f1cfb0f3944e4e4eaa41261a1e8c58d9b230add792dce20d2612823c0ff9f82e04b61e48dbb83f1a6dd5cc7f92bcd0a37ab3053803d1188029aa1fed9ba04f4c961588c9ad2ba7ef1cfbc50fa69b799898eb0dfe9668260ca5680f91a10d2bef8f108ab28fcab693ecdb942070d2b9b8bbb22609c8395c23d7482c31b69b0f555b7c079d3defaa5fb302ed92619c058adf334e845eb1c6edd903c0de2aedd3d9830943f8bcc5954b65df37c901a17ef13fa75b0f2c8c1d2e38681874aebfe90b463f2cc7831958fdc0de0446991eb3c3612cc00188dfc1078fe458d2e5b80efa7bfce800c6b4ca0e570fa5858859633551da28f36f1ff418a9b7ad18aa89b4612f9d676d5fd98bce6f144cd7458ca9f2bc732a36a4d186ea290a009a870da3c1f60617d56ea7554062367121f3e5e569503aa573b172c6278dde5aa4ccda79d9d8faf41c6c9040c1d1d3cb78b41ffa8a0180395439f0d1b72e42471a9100973ab3bc7aec559d94d2d6402374ba5a584de168395a156324e1e4149abd35c72ae0f79863cb59ee6ba22145e36e0d85d3caf8a427d38c96ce489cd0aea20d7960608c074ce3cd0494b6d6d5ec8895f0f03ce78982ad8fd6784bcf16825286c51325662f34726ba66d3a91eeb598124d6755da090ef863fa31ccd5b08909a3279a35cfdce24d2ba16f42ad280b029a0e27137a671c862b0e6f73ff4a1de320c4daffb5cd4ac3522ef1c10e8a918005535f355ce6366b43a757938594366831dbf7ee72f311be4953edd1ea1c598960745d3dbb7f1e2d882cc063bc0791d18c6376a8497f2f91389a13aa96dab78feca081d761479848a5b4cc2e3d015f343b9000583e95e785a45a06842d7c6c0fe9ac4d70f085503d7ac954516953c497635ac8b7698bb784f73fe6e7f9d0ab9473e828168df4ec142cc1fe18fa067525915adf0764e44292a0316ef3c0a443683c92c4661409589eabd7b4dbd43f54317ae0e3d1c69c35a7868991fa0bc2f83430d89821b91a08ddc2d314a717f5bc6f3d89daf163af73e10c61630139e3feda723feb2edffe6c7f364fba22e6aab75e267065b5e7575946c56265743816b2cf12a106ae21921e3e92bfb7ff80e105468f8409d6698e8660b5b05f3f4bb19a0bd4be3569d24f51795752be74c429aeca5be737de8c01
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = cb0b305fb54e1cb23b63ec1f6f4689137e5048d095fb3eadc854c852ca86be93
@@ -283,6 +323,7 @@ pkey = 44d264af1665c1e9bef951d110a6f3c5c61999639d068406c03365249a0a716cabd160431
 skey = 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 mlen = 1353
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = f92ffa3a36f43f9177763ad320fd651d9357c6d99f09549fe6af12943b58be90
@@ -290,6 +331,7 @@ pkey = cb247c80d27dd2fe81aaafe541223e2dd323d5f0d7a13b8f66655d94a3d04a930da41b977
 skey = 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 mlen = 1386
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 5d3cce926a795abc5f6632cabff8bf66275dcc7e4a4ab3b8399d23e62a28bd16
@@ -297,6 +339,7 @@ pkey = 5074c41d9a250941032d2ffaee8f89799542e294610fbbe9159fa98c0c1e4771e35c2935c
 skey = 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 mlen = 1419
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = ba2386ba92aa89049c64ecfe60fddbe136815d3874527414b63ed32215f2e06f
@@ -304,6 +347,7 @@ pkey = 2056013961e354ef176843fed2017e616010e951409d250569cb4e21abcc258d47a1395c9
 skey = 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 mlen = 1452
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = b4e1af25e8dc6934ba391a89984a358702bdd36838babebd982638703f20eef8
@@ -311,6 +355,7 @@ pkey = abbcec70ad82c764e63d72627ad8ac948dad19017e5bba517d85c8cf781fbcfc8f0445bd4
 skey = 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 mlen = 1485
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a62875a3a6d305e120dc7975962552126cd844554857c2943872a4e524a6eeb5
@@ -318,6 +363,7 @@ pkey = f55d9b3bca9328df438e5e818ce35b2d04509f8bde9ae6b9f97a2dea655147e16d3befcc0
 skey = 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 mlen = 1518
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 76ae71ded1f9e73af77a2feae4eef80f87414dfb7580fb4ae0325bff20d74a5d
@@ -325,6 +371,7 @@ pkey = b1f55d9e3a707b3fdeeb5fcd9d77a5bc6f826edfc6837e8f04e2631fd7a50e52f242f6759
 skey = 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 mlen = 1551
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a8f65be046001a6814f537915be3f03f3670e1169e4aaa6d7e726174acaec77c
@@ -332,6 +379,7 @@ pkey = 8f1602c7b0c804d59da6acc624e97bd6133fe4e6f2213d1cb9574df3e5c9e3d9908a101d9
 skey = 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 mlen = 1584
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 802e08c14f6e3446bbf7f4666c8ddf7755dc718c3e02b7865ff33e9d8290abec
@@ -339,6 +387,7 @@ pkey = a889a9d320c832654c7b08e64766750c0b0142c293601ee8410c399b0cb0cfb5f86e97f0b
 skey = 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 mlen = 1617
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 23d7a85a824df3d904a511281a973c979f67f5bfaf3ab0546e85d0597f91120f
@@ -346,6 +395,7 @@ pkey = 219f8358d472afe3f946d59c629a307d35e185d22caaac4a5cad3156e26d125b8ccdd13ed
 skey = 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 mlen = 1650
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 771cbb7c9fbd9fc5db93e3e4de6c034e58be9bade93748c42297142124696234
@@ -353,6 +403,7 @@ pkey = 0ac94c5446f048004ff0e54228bd5fd06f68a22a042853c1867fb251a3cfd0a2b484943b1
 skey = 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 mlen = 1683
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = fa812d8cc3a9631a0239474eb93ad3a2a3480f2d973d3324228ef92a3b043163
@@ -360,6 +411,7 @@ pkey = dda8cd977b5f8e35fc3fa35607db97f2986b1d4d131bc793bd1823795d7494b56220dd91e
 skey = 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 mlen = 1716
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = c660b84d558a7e6b4eac47c7b62135668e0ef0fbf74d514eaa3d0d428014282a
@@ -367,6 +419,7 @@ pkey = 39826162274e46bd7b6694336821b46abc9d3db51d8f0b5463e07bfa704155d3a4ef516ec
 skey = 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 mlen = 1749
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 929f309ab3f90cdd9c21eb77a7ca762ca3afcacbfe3e67b056290835694ba3d8
@@ -374,6 +427,7 @@ pkey = dfa47d54ea735e1ac37015d78cc3e51ff35a03bf20bfc684f88be0a2316cdacc6c876366d
 skey = 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 mlen = 1782
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = dae1eba78ad1568590348088aae88c1abeb59626ef65991cd76ab81198e52837
@@ -381,6 +435,7 @@ pkey = 15f9d0d26d06cd69b0add69ece2a194c7453f85796d04a62440d5119622f6ae08b0c3cf01
 skey = 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 mlen = 1815
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 15ed428927a7eb0c7c2dc7a98cfbb77bdd773fa8747b8232a6ec4b87cd7dbce1
@@ -388,6 +443,7 @@ pkey = 448b8e9f9ce85f7fcaf1a2c0c3bbcc9e0ed82fdce983e3ff8cc819dc4a037d845137b6e4b
 skey = 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 mlen = 1848
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = ba7e359b1f669783521ad35edabe97141a816c2fabf0ad0e001e21f73ccf7736
@@ -395,6 +451,7 @@ pkey = 7d6e1f0074bc19295f8d43c2de1319ecea303a216ead3b2d9d93a58cedc353b30258d5b78
 skey = 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 mlen = 1881
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 9daef95c8d5a61d3a3a267fefb9f37d6e677d7ba26a3a5bfdbda8c281be89ccb
@@ -402,6 +459,7 @@ pkey = 87b9649d53376d1011a7a328af862da701c4ef755830bc3d0421137f03b40c0c4453d7ab4
 skey = 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 mlen = 1914
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 0531b4105cb209585f9fbc29caa57e64c2d40f0829931a42caf7701717d9096e
@@ -409,6 +467,7 @@ pkey = 44e7afaa01466ef01ba7d58f8585fb0d552538947c39254f8bec4203490afedb3b5530fe1
 skey = 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 mlen = 1947
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 7f8515aa82dbc9ec8cf1ded5ab58ec0d08cf686e25a8c01fb1109a3c68d19e48
@@ -416,6 +475,7 @@ pkey = d9dbe0262a34fd4d29b60ab6fa6d34fdb2857d1722dd9f5657d84c7996353fb80c0626ef0
 skey = 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 mlen = 1980
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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 5af3838060e0f83352a75a0ec4ace2ce8ba119bf89f34cb4d6b8e27007cae7fb
@@ -423,6 +483,7 @@ pkey = 247c4a88615bd55d4e0cb9a2783c201cee004f9801509ddbd831f5dfb776b5497f6bb3022
 skey = 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 mlen = 2013
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = b323d48b567f7effffd47a7c9abf0add5f11141737a8af62b56e042ee498ad6e
@@ -430,6 +491,7 @@ pkey = 6a3dc0ff5041a75e88e10871b4d438c0bb746c428f5b9de75163624024dcb47ec2a9824f5
 skey = 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 mlen = 2046
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = c1cf3107ea9b283419e27dc563ecce950bea78c048a3f49fb42128819959e51c
@@ -437,6 +499,7 @@ pkey = 837eec4689b69df4925cd36db4923131d29ac3ac1f4b0f055c8dd6d73e3e952d84fbbc179
 skey = 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 mlen = 2079
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = a50fc40f0d9efa5d254943dc599f7dcc2f6d197a4d2666d5d69cfaccda560817
@@ -444,6 +507,7 @@ pkey = 77f4daa54d8f3b52d07fbedba484684bc89e2289563d34f4e9b6b4421c802f2bbbe7854e8
 skey = 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 mlen = 2112
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 4c0f0ef1ca8073a562d5414584edf268913d53d5fb39fa639e02e900891ea82c
@@ -451,6 +515,7 @@ pkey = c0debca7fe579c205545baa954d756ad0dcd766b1e1c1a19625e5c33dc942f2a1bb8f2157
 skey = 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 mlen = 2145
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 5ba8ad9b66c93cde7e7e616a97fed8aa91bc7235fb4db086cb4021877780c6b4
@@ -458,6 +523,7 @@ pkey = c5bed41f1d4524b91b8c04d0646a6fd5e53a8b08c837b62e9d94f795c1cbf62ef5d56b8b9
 skey = 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 mlen = 2178
 msg = 99b5b6fecdb52897a1958c5c3d1fc2f20b7d045f551856ea3cb441bad9089c64cb9489db6b63e0655afc4c2fa73c7417ff1b80b9c7a1d659687d2c415b3a909ca30e96849d4bcec6a9a6a4311204936ba972086b2394d86e840770d01550caa6ad85adc0ec851d2b3808e4a0e9830b99a70f6204ed4dbcb6759f6228126039607ad7ed8eafeea28d1c3e25a46bc18af7e01f55fad8244f15de36f890416aa09548554338972c5f88fd9357792819e51a63d0b872b0a4d21ea3597405b52793d50c6cd70b52841d53484bcd3ead004cef0a6bc16ce74cb8ad0848000d8c5158dc16625112d1d85d17a3c1c8bbdaea42c3a43e9930724655592116c4c6d0b8b223337ee4e754541a09d898f7fed71c3785b7f8721653986c525bc00f15590616437d11f9722824dfde7e9615f1fb8488e5327e4d8baf5f79d1ff5e808d154951ad87638910607b03faac3a61fe9916ba65ffd16986deb4169bd24a72b1c8168fe569f3c81f93f3ebdd21d4e806f79fb28550912e9afffb52e97860c4dc0d042c56e1bb71c28b68e416874ec7043306a29bd1f4b9a3e612a6778315e2c2b850d6eab9ff1905030fada250caf308735393c191134f3c493d00b5695775d82adb9f2abdad17fc41fbd7a1defe337c2f8adf69154cc0862fbd43035295b1a9c80b88fa8cf75b36ca08868f881966b41fb3e239eb1db9cb51606a0a9ebcd552b2f4e819e2c30abdeccdde88d2d2f82f3585b5143943c929591d20cef559cd2baf2dc7fe03c9e4e084e8890fce64a4aa9f13d5eb945ad7e3cc53e01fcdc192b97adc1f98d9e773a0177e8d97405808ebf48bf17b689bfc15f4c515e38a855a9266230c9085adc9a6ddaed93d80c3f38bc516695d202b4e89da5b4ebc43788c848f8c4a72f79f37f857edc105f13e4ececfd09302711bc1993f5308b8f32ab96fb8ec3f5ea0531dafd0ab3451f81f47e62c593c8d3e3beee79db06909576bf876145856f5f716caa436c98eab28c5b85bc2e4d7e1653ecbb8bb6b5bd6981dc72d7f63ba06cac8197eccdc72c1481db44724a3c21f7fc60661f11fdde8122da5d0b1d72a29952618b373423a892875e6ad24d0916109ed8e9a9a8d9a68acec4bb5eeb0d00eaea72d8d5a76c2a42f18cbdb3d336b71c70ac73d39d7eb04533453779a1f210bb4fc056b4728afdfcf46675c6ac76f750626d642e3ab117e5d6740154759a46c27d51306587650e1039054b876849882e7dfd807bd03e69021e337dd69d9b097722c6d2aeb517d773d2f7d84d69dabe1a1d6422ea1766c0fe7b8dd4d7283f2985d96d91a132b8ba03ad85f7d56095773222d0afdc5a192d29f3bb0c2539a1c99db4e711b6ace3febd58e45e99c9f5a04cecbb309d50397f28c48bb9cc9f9cf75a52253b634ec47216a1fd6358af26501821864569879be1736b0ad242ab5b8ed16a7ea0989ed4cae3567afe1f8209a028db46db0270b3bc06668a9bf5e1bc1061babba00ec4ec37280379139d19bc6072cc6b7d260a816cb82f9bc90897be3025475af12191690f9f400a914789a860155efd2d606a15895378c827f2a4ff700303962fd96db2dcd2d213eebb2460f0b753bc6902da81d44c983dd027f1171d40a2039997241e09ae5b6165b4d55a8e4c79671a8b8bdefef2c21f81c541a5719deb939f866b61be250af371cea7b7525094c904698d412737f7781bd779365f122ee627d9cd4a68da9d5be1b0431998aacf824cdd864c7365c01cd5a5f480b6ac1e5fead8ffe40d87c1f9fce81867157242285c5e76cf9667919c29a67ca0c0a61d7819d9ee6b792250a358f5691ccd80578f15288f3d5d6d7dd6dfa351fcf8df0223f7d1da1b76711fbe0e7fabd30377660ace7b23acf03abc1d973248cdd0897773fb74e20481ebd3e52657c9296b980905ad29271ec128513284f1b78f38634bf84cb80791a0c5649177791cdab87769d57b626f78a03435c758a207f52bd2a1f31e34b6a122b8701cd9fe478c57cf3535b6d51eb46caf794bd69363d5a56adde6945e9788f1e1dfd045bfbd0a68834b13d6b9ec4ea9c860eea0e9ac19c2de14ffbd6b57e5992b08943ea0283813f3f15e4f928b8d0f13de6863990f5c77f130c97d8be12571edcec7deec4b6ef4835f136da45da70a11f9192478fd8b4846c507410fd11668365b05252e68cb2c972acf50156e369b83bb85e62e4bd4d84c2e9ff41a5844d5d88aaae7ded852daa0ae5c14a5dce64c7e236e9b7b60f5b5ad4d953a2d842a52929491be3555ab8df534cad56dbbb86b28a8a86b7bd9ad1c58c87b8a089324e00fde32f8186b2b74523a22904c18ade02c3e965f94624f8df57e750ea6335e3eba705294b76cd6ada33d90fec1f48de7ba9dc7d8d60a53d2563964188874810c45736c57efbc3a3ceee7238aee5281882a554f2143bdf89ed4bd819c08239c187c12a8b6e763434b92c26fdd658b350f51775c60cbab7a2cb120db8ce8ae9aaf6af559f8cade84c4820209cbd27cc09230b22f013a0e4cf8041e4a789a5d20be9914a624ab957318848addb39c9748c8922c54327048a2e46523bfb22487538363459035ba49858f85a469957df1f4831bb7ffa0564c53233b99b596f5356089949306dedd6b904433d25c4854a80590b964df6b0703b4f9628d6b9a4d3f0a4096e9a0b46d6b32f66d563baf688add18de001da62e33c503a4387ce0920ba5d1e8b69c38e3745b19f8d8b6ca5e1ac6de90edb25fc32df04f0849d769fbed3f8169ea1d2252619a2304e055370b4443cd23e56d4934f9f3fc92f1c1eec626657e6a89c1394e56061af8ece3e2a17fbaaa4d579a99a7998632a6ae2683ddffffd27a27c8815511855f09adff7bc627a7a5c95fe57fa3ef81f494fa7ea6e6ca2d14775a25beaf1b5a3e35ecd4a306545d597e4e44301c3d1648f0a7d841f2f76fe59c6eafa3f5b58907fc4e642ecd28d16a71ee3d295f1de12de1485b9cebeb2cc6c9ac051d3d42b6a1a068533a7680a98d015b09c5b819ffc61688d441c1b7fd71180c4423e64ee940917c7dfaa19f3f51cb5b38d1b2b7c81d10e7c
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 25d957b9bf68326d2efec93da464f43e3df16dd6571ceb1ab68bd58e87734a51
@@ -465,6 +531,7 @@ pkey = 6ceb15467f0c206bc58b642c4bbacde4406959b6b8a3759a2ffc8cd486ee0ff6d603a6ffd
 skey = 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 mlen = 2211
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 24f0cd3b05d964f82d3702bf0a613139808d49283286294be57e13a983c3c961
@@ -472,6 +539,7 @@ pkey = c702c4f190d355f9c9377128fbb818e39658097e04aee9201f7065ac5b27ae658deb12a65
 skey = 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 mlen = 2244
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 5ef2732b63a1cbd2cc239ea6fed62f7feb3102715a5bafd8c83aac33702faccf
@@ -479,6 +547,7 @@ pkey = ae58c1a3facd6972f42739b7921602e51577b7ca885468544b000dce43b36e97de81e8742
 skey = 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 mlen = 2277
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 6a27b1666ab6fc4483d14cf84ede49fedfe05bb24e008ae8a01c52d83b8d40fe
@@ -486,6 +555,7 @@ pkey = aaade0bf29948eaeebdb3a9b5bc962a7729a4026e79929a457d5488d40985b29c9d187023
 skey = 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 mlen = 2310
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 2a855572e7e2add2888022bdb585b61577a75a31aa8acede59acb27eeb2936ae
@@ -493,6 +563,7 @@ pkey = c435ba9281752ce4731430dfa63d4c05280227a9c3432949d6ebbb7f5327e72bdc5be8884
 skey = 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 mlen = 2343
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 7967e9de70a7f95e69371f812c2fbf932cec07ab4c235ae9e8a6799f3f537d36
@@ -500,6 +571,7 @@ pkey = 481790f5476e7fd342d746c51113c172751930e51fa565a304a1eee2e2ae7f4078a71b958
 skey = 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 mlen = 2376
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 5aba340a8e541568fbef49e77f94cfb4b3a5e9cf14c6755ce6412cf86cf62898
@@ -507,6 +579,7 @@ pkey = 40a0ae510d93a5bb64f6d765f898a368792820761d76a6993d754fe4e7fb4d5e7a930b65f
 skey = 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 mlen = 2409
 msg = 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
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = df4853f482cc1d0b3a2d71e9eaca064e57c5d100df79bd004ba81b43eacec401
@@ -514,6 +587,7 @@ pkey = 3a2793dc38cba2f36db066f8f55d7b6729c195aa00e988511ca354705c38e79907ddd0609
 skey = 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 mlen = 2442
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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 95da16b844baf559c2cd6e68b237614bb9927d90811106347b5849fee2f48640
@@ -521,6 +595,7 @@ pkey = 58af116eea69ce1a26e9d30b703d782fcc5f29a80ee143cb73de30f664a8ba4ef7014641a
 skey = 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 mlen = 2475
 msg = 5f7522ce6bd0ce6321c27b9eaa6f572616201f283c5ec171d0ba47662c2320897805e1551ed438f3fcbdaf9de6f3a19dc16fe9c167a65b6e52bcf512c919561b548496a4a80af7ce25458a62eae92ebf677872482d8647c30c12bb1f080c6b9a56560d64fab73db17487bbb007c66661ea9dda14601ab27a100ef4cf4b7447e51418651c03211f8fb884be91f3980fe13e00ea4ecfe6d54882059a436c90bcad80e4101cc6c0754417545f2d167629f80a3c5ffe45c00ab2baf0494d6c065872b03a987a5ee818b3ef11e47fe1747f49e2db6a14410f0b1f9610a2d6114395ef6ebb231fdf71d595cc1171db9c89d6cf202e42d4fb968ab8105fddb2aacb15fab8014b534cf468d77ecde2072623b7002620b7ac3e78b62ad673feef9f8e97e91acdab171fd415b2d15605dde00d074a770e36f2218f7130f13e91fa4c88deea7e854bcaa01b8458d40625a33e982f0955b83080a926ec240e31f0d9bf477ee3a016e146a3909683410d4d09ecdf32eaef580402f0d416dfc082cf1362e8b79158bd57739aee56dc41a549e534c7ccf3620c7d7d95b92994a747d5efb8ec43cfa8189baa9b75fd54694e512fca388b71a5b9ea591ae9cfa34183de59d284ab16b2effa4b26a24a0e615b38b83088a9827eeb5c29b419bc061b033e0e3fc809afdd3de948412677e0bb5136854532639f3ccb176d54ea1961b5c527ef66f4b3286a583e86208aeeb8ed07d9e6bf1beb33995f76ca480039a6130775895f19e3cd4873abe3bf2fa9de81bf0cb04575dd6ae282720b152cf0ec6a4a04016db0f3543d8272ae56b1152b02eaf22131420cb194021f97060d5ce52eb21b57cc93964dd21344786e3888617152d2abd829799ce47d20158aa93f7da85ca6146c5bb94b512da053c35bfa8840ca43f6509a1477603fd50f5e4f9a7cf8d2369156989ad638d35d345bdc859c52688211bf7ef3f4ad4944657289406bf01dcbb49d560a11840ef35dbc0c7f9c96dbea76300cf61997a87d70f5ff8c51aeca2cf0680b6fe8c4025e1e25b62103d248cdee335f4fcd67597103362003206c507970ea6d78cff4b68b44244019152dbf812675cf667e5e13c8596eb6fea3903bfb25ed08f902722a37f8e460e37a03a2d6adbdf79da20052de658390484b83bbab28d039a303d7376bf555181680b7966c798a1c6cb215257e37739de7b9706cd1cf3ab031f68c82d6ecfa507c104115040744d74a40c49245215639d0cf4a5a7a10098e9ce3564ac3c44f0683ae9d3094784d354db1af439bddf63d5cca668d8180264efeceeac0be1b8e1c6418e45f9ed6c779ecf169143b034cd9f332989d445c83a8786398c507b9171b4d95728575539cbb29c5b804268d88f2b39af1f9572b8daa9feeef69c4a77dc64bf2dbb5e57f8b33ab151769b2d00010d67a2d6f188d6d5b35e5e1873fe2b327e42afb8885a842d26c246f7c18e6bcdd6fa49b300c65a3822121e95004928104017cbce2ab95acadb9802bf4bb049b8e96468353d649654c6f69d774380a5a387d6414dc3000540bab6eccbaa088c1068ccef20036e5c8342fd512f55e6794bf85fe15721d99a1bfeedc218617a940c8c25d4dfafec677d2a719b2cddcd302294b7fa41aeab5606f859cc0d638ac94b99ac3ea48c687d278eebeb396dc5bf2d2e89e880f76b533fa54efd30d8ee38b34dc5f8ae62c637e9a7e85d99e011f62d261ab4d3dceb98a8972d3482cf817eff476b873ac56963bd60183b359713385ba82f6e24be2d6cfea6dbb4ad2e1b5b790ee54d23f64e740502e887629b346fc8fccc3338d0f2921131b84590b32c7cb82cba8bb3b81ef7bc5cb12f0aa0b3c6a5b2878dc4f868057c68460c71d40d4263ac5c8b8317d2d0b63403c7549439a9ef227268372ec3a54cf8ee97714bc4b55007f92b1a32238659ec1ee27d6f2987ab06fee84c3afdfa73240963f076a955bf3c19410e1da6a19b3ea3ae2dd8766082d3295d35436597783dafdadb905465d05fc21fa8ac2737a52fa8aaefbd2ed83f12545c1fa3198ff225d37070694c9392738e89467edb2da3cd1734ce398e32bcb1fea2e4fe1260a2d9f9edc3607a8ac8a51d5da36e99b31903025e0cb157fd2ff5b51c9191cc16a9ccb870b4060cfb0fd900aef62738a58c5726f5164417f084ef14fc0953e3c6036b818c21ca3476b8cc5f8ebaace257a0315031a03e64e7f749b9df99bb56ceebbaa4333bc7270edee90fa2715bddc38d44898a41998b2374b6ee3b8524d3a385c03868ee9479355092c4d20ec32deb51497f4ff34ae7e7ea4828c288f46e5148de28a8c660ee132e5b5489833dc66205ec968b60dab96c2a4452a7019bba9fe3d19d5829129e2a9c75c39416ac8695145f2b62eb9468198cbd48d7670ddc6af2f99f77e7acd01a34ea8e0e974206fbc22656867d09807b980563e06a559b0c3a7e6f43cf8db75b18c0f90c12ff3bd43abce7df75d17e631c08c974322010648fe2e2bc940e6510fb8835df8384eff3fe6a264687256c6bc0a5f9d2ddf208171db55c4446b03cf27796bc77e3c68d8f1252be21877d7c53747404420302ca5ae1ab57e43b158be8b707360a2f59d6a473f98b816fde2ccedd92385202c419278e8b840dba4c05e9bb65f68ae2a635a29110329e8c0c02f6fb5eee41ed225051ee975f92da52f93eb1fd7c0a098f6d1421701537298651313514ad31cb333e9c5da719bba95e73878ba41f9e2512862a80602aa2de1e1d086576531330cc7bb8f0cec38050b3cfae5c8b1d6cb849a579f2294f8ce80fde5405bfa3e6ecb01d5117203a4523591ac4030397de9ff81d5cc91af3002590f5854e852b88667638b2d052f2a7852425c8ec026e48d9ef5e73d1993d7f3fd7f704760562c36d2278c9ce131ec6aa444d7b2eaca3ee888d9b2ae122688dcb35455e7de31562ba618f1183308b30d07a5c34020546218101ad42ac5054d4703587ff60e860a60375fab12734912058d5b0b06430fabbfe0c0b43c22814f56dae9e2713325a31c682c13f008b9a3d4ffa8a454f0f64a9213ff2d557a4cbc64ec6e4eca0a976cd9f27497ba544dbaa3e2eca0f54c2634c719b9c3a2ce37bcc8158a880baa72780f8b1d3494f589e2af3044b4fdd86f4db2df0843ebd9f3518870f55488f41e234ce94e907a69d28bd83347702750db1ae2eb1454cdca37a8b5fc90091f548babf489e57c8919646e977274fc972088a522fff9f9306d2f0ed6c01ff92cae8440d7f3526b8c186d5b96942cb08032886051da2a9fe77e38beb18f4fb25f1152edf9d61347a00a844929976a327be46ffd3e2ee0b6ab1014294ec5d40cf7071c36b11127ff90720596c1b3065e7de8010aea469bb4f4ac5a6efd20591cefb7b94b2006d85ca475fee556f24cc41237c631b75eb594f8342deb4f976d73aa46563c1aa6d0b605a16152315626ba08807daa6025cf62b29176f3a85e4bca483effea7e5939
+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = f258ff1178cc42a3cebe238c8418b4974812a05f43b8fa95639cc46bc0738bc5
@@ -528,6 +603,7 @@ pkey = 10fe2116fee80d6d9639f61b4ccb8263c939ff238347a69d1a4f258e822f858a2d069a327
 skey = 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 mlen = 2508
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 5efbbbe99cf5c2b6830fb8e990250be308e662200526889ea973c8d33823ec19
@@ -535,6 +611,7 @@ pkey = 02f802e0ee8a8855d1efa29d37a529e5b02bb1d225afd42fc3c9006a63b4a4a34233e4dab
 skey = 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 mlen = 2541
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 47a048d8799784f6ec385eb984e70c62ce7c8a107232871b69b99f7bf4c3dbb5
@@ -542,6 +619,7 @@ pkey = 1fb1feb1d4f63af9ae4003eebc906b58d4238954fa98139927cfb5419a3115a821a735c42
 skey = 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 mlen = 2574
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 1d9e243a35118bc7c50a50746e1cf19c9fc310c7d54181fb95f44753eab1b94a
@@ -549,6 +627,7 @@ pkey = 9c8d58f80f7e14fb50e5ecfbfba742f1e29fd7da1040cb12e07f2ec235e6d92e430b30e29
 skey = 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 mlen = 2607
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 0a46fda6ba71125f3415e8bb6c2d8c00601107fa563e7f6386486a88f87701fb
@@ -556,6 +635,7 @@ pkey = e7e5f228a0c97efa8f5ff1d0189161280844372f9463c61a791746584ef00abfdde5b84ab
 skey = 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 mlen = 2640
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 5229dfe11090effbe94ee161054cd5ff58b31e23f567b282db42eb1fe42e44aa
@@ -563,6 +643,7 @@ pkey = 730ebca946d05b5680714d3de5c2f7e09f4b29f5929b38798f7c1db79ec0d91793383772f
 skey = 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 mlen = 2673
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 seed = 18aa77795aa6d7ade8b6cdced81a1959a8329677f042283dc8ca71e13eb3adee
@@ -570,6 +651,7 @@ pkey = 7b2ba93a78f89a116ab7ad274a78f9b0c809ea0938b510709a192348cd50572cf84d180b1
 skey = 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 mlen = 2706
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 4b2d6ec32be9c5d8fa11f3fc0008f4f26b945064d98362ad912f452692ac383d
@@ -577,6 +659,7 @@ pkey = c9fb8933f769e24c73d4f2d8be98b79c05db7e9213b039b175e540225397169e8b9c7395f
 skey = 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 mlen = 2739
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 196b8144dfbfb47ec01e96a6b8443211d6c9c4aa7853a8131b5218349bd6d953
@@ -584,6 +667,7 @@ pkey = 3e867517b847aba29e8efc7c33f89a353c2f953a7c043fd3656e1877fca932a202d815e08
 skey = 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 mlen = 2772
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = c171793029d0cbaf8d2661a823243ad50d67f2619533180f25b50c94b1310389
@@ -591,6 +675,7 @@ pkey = 1f73b63c95e6bbf1d454748bdd4dec6d3e9153758979fd12163b3aac929dc11471374aab5
 skey = 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 mlen = 2805
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 615fa91f3d206b908649399f216950ec7b2420eb04aec6abfcb7b4528e8e33e6
@@ -598,6 +683,7 @@ pkey = 164ca5ead1412fd79e3167b7f7bfe18190c810316f37c3e75af638a0240ee1b1fa8af2ef9
 skey = 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 mlen = 2838
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 626c19b8553b2d9e5a47a758615d80b15be11fd016d3a1962d8de58ed5ca2219
@@ -605,6 +691,7 @@ pkey = 92d8682363c4bd6f42a49d69d2437251d8a26af1225d8f3b32e7f8bfadb035ba898a29eb5
 skey = 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 mlen = 2871
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = b0d4ba39adb4e8712b3a3e6495aba2f04a29e45c68671a960bc0d8d89900c97e
@@ -612,6 +699,7 @@ pkey = 0ea33fc56db7715252bcaec8d0e77739d4ce3c6845d741467849b38ca852a195f5452ccb6
 skey = 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 mlen = 2904
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = e04328a783c10dacd96702d2e726bb11ce4ecc571564ce7cb10722d1c98c2842
@@ -619,6 +707,7 @@ pkey = e9d1258056c50241c5bbcd8e50894957d9bc2bc57aab3cbfe624aeffb4f7a0114bd6dafbf
 skey = 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 mlen = 2937
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = cee2e53099d8cb576f8f76c5c155470f87a6ec5f7d73256a0a2aee62cbc53597
@@ -626,6 +715,7 @@ pkey = 617ffe99c53b1267451a9d4e20a9564e19ca7080be14e622e51e9a62c9885a6aca90d593d
 skey = 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 mlen = 2970
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 02d9755c369932e7f99a2e1614b03e2c86d713563785965e008ba987a6c89f49
@@ -633,6 +723,7 @@ pkey = 4cc5044a6b9d88d0620723799c69c9e1118c571330b37e27f390d38311163a5befdf55bb2
 skey = 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 mlen = 3003
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 2b2bf7cbb0957a86bbec97001b60c7c6ad98a56e94542ff561f78fed211da755
@@ -640,6 +731,7 @@ pkey = 58eef138a2d2ef190f6f732cdd4c6d40d3652970dd174ba03782269c9741891963a4b3a05
 skey = 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 mlen = 3036
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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 seed = 049569cc5fb969c6eebb8aea1af1fcaf46f8a9e6cd6c796fc7193592bca9cf23
@@ -647,6 +739,7 @@ pkey = e3b5a2f2ee49231383c023707b5ea5cd6682cfe4b65c0a8452ed137c33cf2b52bf01ada91
 skey = 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 mlen = 3069
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 9d89b9a327df0d341cd2968ba9218bbc3e934502cd88919d8bb16dd3d39febf7
@@ -654,6 +747,7 @@ pkey = 0aefcfb338d198c54b14e3ba71acdc4f9ade5c95e02862f68e724329ea220b21f29a9d3d4
 skey = 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 mlen = 3102
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 4544c2f21054605b0eee46f62a87dfcbc3bfec473b9850886266f478bf9e33d7
@@ -661,6 +755,7 @@ pkey = e9d58c0ee0b2db275be53870ce3349a856d50594873eef947b394b1828d11c8271d5e7b88
 skey = 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 mlen = 3135
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = d9931e321732bd82ec9ca1df12ba48549bfc7d3e76a404b71892f4198777ffbb
@@ -668,6 +763,7 @@ pkey = a7f3412319b06d3511fddd81eb9c479e1c6ca8e33acdf53964be7957cb853d9f66215473c
 skey = 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 mlen = 3168
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = f838451e4a5929b8bae9084b40b1dc0edfb76a9354bf27f981960c88b0ba3a11
@@ -675,6 +771,7 @@ pkey = ae987bed1d3e6a9b3243d65958ef6f6bed0c865dfbca7867d300a7f900bdcb04665581d34
 skey = 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 mlen = 3201
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 8e4334b2589d0caecf0fd9ba584ea26a4123d4543a8a0fe126d4a7e07f6067af
@@ -682,6 +779,7 @@ pkey = f9cd5d926a9e205f1ece49e62a71eca70b60a94f6ea76c322121533fbee293a41619caadd
 skey = 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 mlen = 3234
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
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
 seed = 37519a02e8021f2257259c0d2e499af3533c8ed8dd5bf7751cce920d79b518fa
@@ -689,6 +787,7 @@ pkey = 781bc0a1602ec531d0040e8491be5d75afa8f4ecb0092818d990cc08f6fcc40a4dac2614f
 skey = 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 mlen = 3267
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 seed = 690482bff6c1d0ba6c071dd395adf69e55e1bfc4e0992a8650ffb5e60a02b172
@@ -696,5 +795,6 @@ pkey = 0be5ff5f64e309b8bd4d60d6302b5a9669979515352e32eb57bb8868fb19fee34ef5f63d1
 skey = 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 mlen = 3300
 msg = 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+rnd = 0000000000000000000000000000000000000000000000000000000000000000
 sig = 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
 
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index e99564c..1978a29 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -1,8 +1,8 @@
 #include "dilithium2.hpp"
 #include "dilithium3.hpp"
 #include "dilithium5.hpp"
-#include <array>
 #include <charconv>
+#include <cstdint>
 #include <fstream>
 #include <gtest/gtest.h>
 #include <string>
@@ -59,6 +59,14 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
       auto msg = utils::from_hex(msg2);
       auto _msg = std::span(msg); // Message to be signed
 
+      std::string rnd0;
+      std::getline(file, rnd0);
+
+      auto rnd1 = std::string_view(rnd0);
+      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
+      auto rnd = utils::from_hex(rnd2);
+      auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
+
       std::string sig0;
       std::getline(file, sig0);
 
@@ -69,7 +77,6 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
       std::vector<uint8_t> _pkey(dilithium2::PubKeyLen, 0);
       std::vector<uint8_t> _skey(dilithium2::SecKeyLen, 0);
       std::vector<uint8_t> _sig(dilithium2::SigLen, 0);
-      std::array<uint8_t, 32> rnd{}; // Empty 32 -bytes randomness
 
       auto __pkey = std::span<uint8_t, dilithium2::PubKeyLen>(_pkey); // Computed public key
       auto __skey = std::span<uint8_t, dilithium2::SecKeyLen>(_skey); // Computed secret key
@@ -77,7 +84,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 
       // Keygen -> Sign -> Verify
       dilithium2::keygen(_seed, __pkey, __skey);
-      dilithium2::sign(rnd, __skey, _msg, __sig);
+      dilithium2::sign(_rnd, __skey, _msg, __sig);
       const auto f = dilithium2::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
@@ -144,6 +151,14 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
       auto msg = utils::from_hex(msg2);
       auto _msg = std::span(msg); // Message to be signed
 
+      std::string rnd0;
+      std::getline(file, rnd0);
+
+      auto rnd1 = std::string_view(rnd0);
+      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
+      auto rnd = utils::from_hex(rnd2);
+      auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
+
       std::string sig0;
       std::getline(file, sig0);
 
@@ -158,11 +173,10 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
       auto __pkey = std::span<uint8_t, dilithium3::PubKeyLen>(_pkey); // Computed public key
       auto __skey = std::span<uint8_t, dilithium3::SecKeyLen>(_skey); // Computed secret key
       auto __sig = std::span<uint8_t, dilithium3::SigLen>(_sig);      // Computed signature
-      std::array<uint8_t, 32> rnd{};                                  // Empty 32 -bytes randomness
 
       // Keygen -> Sign -> Verify
       dilithium3::keygen(_seed, __pkey, __skey);
-      dilithium3::sign(rnd, __skey, _msg, __sig);
+      dilithium3::sign(_rnd, __skey, _msg, __sig);
       const auto f = dilithium3::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
@@ -229,6 +243,14 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
       auto msg = utils::from_hex(msg2);
       auto _msg = std::span(msg); // Message to be signed
 
+      std::string rnd0;
+      std::getline(file, rnd0);
+
+      auto rnd1 = std::string_view(rnd0);
+      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
+      auto rnd = utils::from_hex(rnd2);
+      auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
+
       std::string sig0;
       std::getline(file, sig0);
 
@@ -243,11 +265,10 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
       auto __pkey = std::span<uint8_t, dilithium5::PubKeyLen>(_pkey); // Computed public key
       auto __skey = std::span<uint8_t, dilithium5::SecKeyLen>(_skey); // Computed secret key
       auto __sig = std::span<uint8_t, dilithium5::SigLen>(_sig);      // Computed signature
-      std::array<uint8_t, 32> rnd{};                                  // Empty 32 -bytes randomness
 
       // Keygen -> Sign -> Verify
       dilithium5::keygen(_seed, __pkey, __skey);
-      dilithium5::sign(rnd, __skey, _msg, __sig);
+      dilithium5::sign(_rnd, __skey, _msg, __sig);
       const auto f = dilithium5::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected

From 2d95bbd8a40b34c3a6a6774f319acb57b628e222 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 14 Jul 2024 20:47:42 +0400
Subject: [PATCH 06/37] Change organization of header files

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 Makefile                                            | 6 +++---
 include/{ => ml_dsa}/dilithium2.hpp                 | 2 +-
 include/{ => ml_dsa}/dilithium3.hpp                 | 2 +-
 include/{ => ml_dsa}/dilithium5.hpp                 | 2 +-
 include/{ => ml_dsa/internals}/dilithium.hpp        | 8 ++++----
 include/{ => ml_dsa/internals/math}/field.hpp       | 2 +-
 include/{ => ml_dsa/internals/math}/reduction.hpp   | 2 +-
 include/{ => ml_dsa/internals/poly}/bit_packing.hpp | 4 ++--
 include/{ => ml_dsa/internals/poly}/ntt.hpp         | 2 +-
 include/{ => ml_dsa/internals/poly}/poly.hpp        | 6 +++---
 include/{ => ml_dsa/internals/poly}/polyvec.hpp     | 4 ++--
 include/{ => ml_dsa/internals/poly}/sampling.hpp    | 4 ++--
 include/{ => ml_dsa/internals/rng}/prng.hpp         | 0
 include/{ => ml_dsa/internals/utility}/params.hpp   | 2 +-
 include/{ => ml_dsa/internals/utility}/utils.hpp    | 0
 tests/dudect/test_dilithium2.cpp                    | 2 +-
 tests/dudect/test_dilithium3.cpp                    | 2 +-
 tests/dudect/test_dilithium5.cpp                    | 2 +-
 tests/test_bit_packing.cpp                          | 5 ++---
 tests/test_field.cpp                                | 2 +-
 tests/test_reduction.cpp                            | 2 +-
 tests/test_sampling.cpp                             | 2 +-
 tests/test_signing.cpp                              | 6 +++---
 tests/test_signing_kat.cpp                          | 6 +++---
 24 files changed, 37 insertions(+), 38 deletions(-)
 rename include/{ => ml_dsa}/dilithium2.hpp (98%)
 rename include/{ => ml_dsa}/dilithium3.hpp (98%)
 rename include/{ => ml_dsa}/dilithium5.hpp (98%)
 rename include/{ => ml_dsa/internals}/dilithium.hpp (98%)
 rename include/{ => ml_dsa/internals/math}/field.hpp (99%)
 rename include/{ => ml_dsa/internals/math}/reduction.hpp (99%)
 rename include/{ => ml_dsa/internals/poly}/bit_packing.hpp (99%)
 rename include/{ => ml_dsa/internals/poly}/ntt.hpp (98%)
 rename include/{ => ml_dsa/internals/poly}/poly.hpp (97%)
 rename include/{ => ml_dsa/internals/poly}/polyvec.hpp (99%)
 rename include/{ => ml_dsa/internals/poly}/sampling.hpp (98%)
 rename include/{ => ml_dsa/internals/rng}/prng.hpp (100%)
 rename include/{ => ml_dsa/internals/utility}/params.hpp (99%)
 rename include/{ => ml_dsa/internals/utility}/utils.hpp (100%)

diff --git a/Makefile b/Makefile
index a10fae6..b7a1568 100644
--- a/Makefile
+++ b/Makefile
@@ -57,13 +57,13 @@ $(BUILD_DIR):
 	mkdir -p $@
 
 $(SHA3_INC_DIR):
-	git submodule update --init
+	git submodule update --init sha3
 
 $(GTEST_PARALLEL): $(SHA3_INC_DIR)
-	git submodule update --init
+	git submodule update --init gtest-parallel
 
 $(DUDECT_INC_DIR): $(GTEST_PARALLEL)
-	git submodule update --init
+	git submodule update --init dudect
 
 $(BUILD_DIR)/%.o: $(TEST_DIR)/%.cpp $(BUILD_DIR) $(SHA3_INC_DIR)
 	$(CXX) $(CXX_FLAGS) $(WARN_FLAGS) $(OPT_FLAGS) $(I_FLAGS) $(DEP_IFLAGS) -c $< -o $@
diff --git a/include/dilithium2.hpp b/include/ml_dsa/dilithium2.hpp
similarity index 98%
rename from include/dilithium2.hpp
rename to include/ml_dsa/dilithium2.hpp
index 86da684..65c777f 100644
--- a/include/dilithium2.hpp
+++ b/include/ml_dsa/dilithium2.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "dilithium.hpp"
+#include "ml_dsa/internals/dilithium.hpp"
 
 // Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
 // security level 2 parameters, as suggested in table 2 of
diff --git a/include/dilithium3.hpp b/include/ml_dsa/dilithium3.hpp
similarity index 98%
rename from include/dilithium3.hpp
rename to include/ml_dsa/dilithium3.hpp
index 9647320..886eff7 100644
--- a/include/dilithium3.hpp
+++ b/include/ml_dsa/dilithium3.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "dilithium.hpp"
+#include "ml_dsa/internals/dilithium.hpp"
 
 // Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
 // security level 3 parameters, as suggested in table 2 of
diff --git a/include/dilithium5.hpp b/include/ml_dsa/dilithium5.hpp
similarity index 98%
rename from include/dilithium5.hpp
rename to include/ml_dsa/dilithium5.hpp
index 39947c9..a717b35 100644
--- a/include/dilithium5.hpp
+++ b/include/ml_dsa/dilithium5.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "dilithium.hpp"
+#include "ml_dsa/internals/dilithium.hpp"
 
 // Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
 // security level 5 parameters, as suggested in table 2 of
diff --git a/include/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
similarity index 98%
rename from include/dilithium.hpp
rename to include/ml_dsa/internals/dilithium.hpp
index a4084d6..4a24ce6 100644
--- a/include/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -1,8 +1,8 @@
 #pragma once
-#include "params.hpp"
-#include "polyvec.hpp"
-#include "sampling.hpp"
-#include "utils.hpp"
+#include "ml_dsa/internals/poly/polyvec.hpp"
+#include "ml_dsa/internals/poly/sampling.hpp"
+#include "ml_dsa/internals/utility/params.hpp"
+#include "ml_dsa/internals/utility/utils.hpp"
 #include <limits>
 #include <span>
 
diff --git a/include/field.hpp b/include/ml_dsa/internals/math/field.hpp
similarity index 99%
rename from include/field.hpp
rename to include/ml_dsa/internals/math/field.hpp
index 411df6a..f56049c 100644
--- a/include/field.hpp
+++ b/include/ml_dsa/internals/math/field.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "prng.hpp"
+#include "ml_dsa/internals/rng/prng.hpp"
 #include <bit>
 #include <cstddef>
 #include <cstdint>
diff --git a/include/reduction.hpp b/include/ml_dsa/internals/math/reduction.hpp
similarity index 99%
rename from include/reduction.hpp
rename to include/ml_dsa/internals/math/reduction.hpp
index 790920c..b958265 100644
--- a/include/reduction.hpp
+++ b/include/ml_dsa/internals/math/reduction.hpp
@@ -1,6 +1,6 @@
 #pragma once
 #include "field.hpp"
-#include "params.hpp"
+#include "ml_dsa/internals/utility/params.hpp"
 #include <utility>
 
 // Utility functions used for extracting out high/ low order bits and making/
diff --git a/include/bit_packing.hpp b/include/ml_dsa/internals/poly/bit_packing.hpp
similarity index 99%
rename from include/bit_packing.hpp
rename to include/ml_dsa/internals/poly/bit_packing.hpp
index 4d62abd..f475145 100644
--- a/include/bit_packing.hpp
+++ b/include/ml_dsa/internals/poly/bit_packing.hpp
@@ -1,7 +1,7 @@
 #pragma once
-#include "field.hpp"
+#include "ml_dsa/internals/math/field.hpp"
+#include "ml_dsa/internals/utility/params.hpp"
 #include "ntt.hpp"
-#include "params.hpp"
 #include <algorithm>
 #include <cstring>
 
diff --git a/include/ntt.hpp b/include/ml_dsa/internals/poly/ntt.hpp
similarity index 98%
rename from include/ntt.hpp
rename to include/ml_dsa/internals/poly/ntt.hpp
index e53d0f2..3380229 100644
--- a/include/ntt.hpp
+++ b/include/ml_dsa/internals/poly/ntt.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "field.hpp"
+#include "ml_dsa/internals/math/field.hpp"
 #include <array>
 #include <span>
 
diff --git a/include/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
similarity index 97%
rename from include/poly.hpp
rename to include/ml_dsa/internals/poly/poly.hpp
index 2eba84f..feebb10 100644
--- a/include/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -1,8 +1,8 @@
 #pragma once
-#include "field.hpp"
+#include "ml_dsa/internals/math/field.hpp"
+#include "ml_dsa/internals/math/reduction.hpp"
+#include "ml_dsa/internals/utility/params.hpp"
 #include "ntt.hpp"
-#include "params.hpp"
-#include "reduction.hpp"
 #include <algorithm>
 
 // Degree-255 polynomial utility functions for Dilithium Post-Quantum Digital
diff --git a/include/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
similarity index 99%
rename from include/polyvec.hpp
rename to include/ml_dsa/internals/poly/polyvec.hpp
index 4739fcd..f6b8f96 100644
--- a/include/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -1,7 +1,7 @@
 #pragma once
 #include "bit_packing.hpp"
-#include "field.hpp"
-#include "params.hpp"
+#include "ml_dsa/internals/math/field.hpp"
+#include "ml_dsa/internals/utility/params.hpp"
 #include "poly.hpp"
 #include <array>
 #include <cstdint>
diff --git a/include/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
similarity index 98%
rename from include/sampling.hpp
rename to include/ml_dsa/internals/poly/sampling.hpp
index a50e8e6..9654f58 100644
--- a/include/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -1,8 +1,8 @@
 #pragma once
 #include "bit_packing.hpp"
-#include "field.hpp"
+#include "ml_dsa/internals/math/field.hpp"
+#include "ml_dsa/internals/utility/params.hpp"
 #include "ntt.hpp"
-#include "params.hpp"
 #include "poly.hpp"
 #include "shake128.hpp"
 #include "shake256.hpp"
diff --git a/include/prng.hpp b/include/ml_dsa/internals/rng/prng.hpp
similarity index 100%
rename from include/prng.hpp
rename to include/ml_dsa/internals/rng/prng.hpp
diff --git a/include/params.hpp b/include/ml_dsa/internals/utility/params.hpp
similarity index 99%
rename from include/params.hpp
rename to include/ml_dsa/internals/utility/params.hpp
index 197bfc8..a19ad0e 100644
--- a/include/params.hpp
+++ b/include/ml_dsa/internals/utility/params.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "field.hpp"
+#include "ml_dsa/internals/math/field.hpp"
 #include <bit>
 #include <cstddef>
 #include <cstdint>
diff --git a/include/utils.hpp b/include/ml_dsa/internals/utility/utils.hpp
similarity index 100%
rename from include/utils.hpp
rename to include/ml_dsa/internals/utility/utils.hpp
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index a2972c7..b0167ef 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -1,4 +1,4 @@
-#include "dilithium2.hpp"
+#include "ml_dsa/dilithium2.hpp"
 #include <cstdio>
 
 #define DUDECT_IMPLEMENTATION
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index eb321e9..ee329e9 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -1,4 +1,4 @@
-#include "dilithium3.hpp"
+#include "ml_dsa/dilithium3.hpp"
 #include <cstdio>
 
 #define DUDECT_IMPLEMENTATION
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index 62fd56f..a575592 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -1,4 +1,4 @@
-#include "dilithium5.hpp"
+#include "ml_dsa/dilithium5.hpp"
 #include <cstdio>
 
 #define DUDECT_IMPLEMENTATION
diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index e71e60c..890fcdb 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -1,6 +1,5 @@
-#include "bit_packing.hpp"
-#include "field.hpp"
-#include <cstdint>
+#include "ml_dsa/internals/math/field.hpp"
+#include "ml_dsa/internals/poly/bit_packing.hpp"
 #include <gtest/gtest.h>
 #include <vector>
 
diff --git a/tests/test_field.cpp b/tests/test_field.cpp
index 4bec594..c4d9d5d 100644
--- a/tests/test_field.cpp
+++ b/tests/test_field.cpp
@@ -1,4 +1,4 @@
-#include "field.hpp"
+#include "ml_dsa/internals/math/field.hpp"
 #include <gtest/gtest.h>
 
 // Test functional correctness of Dilithium prime field operations, by running
diff --git a/tests/test_reduction.cpp b/tests/test_reduction.cpp
index d3a41c1..1207f10 100644
--- a/tests/test_reduction.cpp
+++ b/tests/test_reduction.cpp
@@ -1,4 +1,4 @@
-#include "reduction.hpp"
+#include "ml_dsa/internals/math/reduction.hpp"
 #include <gtest/gtest.h>
 
 // Given a random element ∈ Z_q | q = 2^23 - 2^13 + 1, this routine tests
diff --git a/tests/test_sampling.cpp b/tests/test_sampling.cpp
index 73e820f..e89d957 100644
--- a/tests/test_sampling.cpp
+++ b/tests/test_sampling.cpp
@@ -1,4 +1,4 @@
-#include "sampling.hpp"
+#include "ml_dsa/internals/poly/sampling.hpp"
 #include <array>
 #include <gtest/gtest.h>
 #include <vector>
diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
index 3680a53..bdafb7a 100644
--- a/tests/test_signing.cpp
+++ b/tests/test_signing.cpp
@@ -1,6 +1,6 @@
-#include "dilithium2.hpp"
-#include "dilithium3.hpp"
-#include "dilithium5.hpp"
+#include "ml_dsa/dilithium2.hpp"
+#include "ml_dsa/dilithium3.hpp"
+#include "ml_dsa/dilithium5.hpp"
 #include <gtest/gtest.h>
 
 // Given a byte array, this routine randomly selects a bit and flips it. This
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index 1978a29..43280aa 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -1,6 +1,6 @@
-#include "dilithium2.hpp"
-#include "dilithium3.hpp"
-#include "dilithium5.hpp"
+#include "ml_dsa/dilithium2.hpp"
+#include "ml_dsa/dilithium3.hpp"
+#include "ml_dsa/dilithium5.hpp"
 #include <charconv>
 #include <cstdint>
 #include <fstream>

From 0f919108bb0296f43ee4af5c7481092ef2a226d1 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 14 Jul 2024 21:14:30 +0400
Subject: [PATCH 07/37] Refactor prime field arithmetic implementation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/math/field.hpp | 107 ++++++------------------
 1 file changed, 24 insertions(+), 83 deletions(-)

diff --git a/include/ml_dsa/internals/math/field.hpp b/include/ml_dsa/internals/math/field.hpp
index f56049c..bc9f766 100644
--- a/include/ml_dsa/internals/math/field.hpp
+++ b/include/ml_dsa/internals/math/field.hpp
@@ -4,10 +4,10 @@
 #include <cstddef>
 #include <cstdint>
 
-// Prime field arithmetic over Z_q, for Dilithium PQC s.t. Q = 2^23 - 2^13 + 1
+// Prime field arithmetic over Z_q s.t. q = 2^23 - 2^13 + 1
 namespace field {
 
-// Dilithium Prime Field Modulus
+// ML-DSA Prime Field Modulus
 constexpr uint32_t Q = (1u << 23) - (1u << 13) + 1u;
 
 // Bit width of Kyber Prime Field Modulus ( = 12 )
@@ -23,61 +23,34 @@ constexpr size_t RADIX_BIT_WIDTH = std::bit_width(Q);
 // See https://www.nayuki.io/page/barrett-reduction-algorithm for more.
 constexpr uint32_t R = (1ul << (2 * RADIX_BIT_WIDTH)) / Q;
 
-// Dilithium Prime Field element e ∈ [0, Q), with arithmetic operations defined
-// & implemented over it.
+// ML-DSA Prime Field element e ∈ [0, Q), with arithmetic operations defined & implemented over it.
 struct zq_t
 {
 public:
-  // Returns prime field element 0.
+  // Constructor(s)
   inline constexpr zq_t() = default;
+  inline constexpr zq_t(const uint32_t val /* val ∈ [0, Q) */) { v = val; }
+  static inline constexpr zq_t from_non_reduced(const uint32_t val /* val ∈ [0, 2^32) */)
+  {
+    return barrett_reduce(val);
+  }
 
-  // Constructs field element s.t. input is already reduced by prime modulo Q.
-  inline constexpr zq_t(const uint32_t val) { v = val; }
-
-  // Returns canonical value held under Zq type. Returned value must ∈ [0, Q).
+  // Accessor
   inline constexpr uint32_t raw() const { return this->v; }
 
-  // Returns prime field element 1.
-  static inline constexpr zq_t zero() { return zq_t(); }
-
-  // Returns prime field element 0.
+  static inline constexpr zq_t zero() { return zq_t(0u); }
   static inline constexpr zq_t one() { return zq_t(1u); }
 
-  // Modulo addition of two Zq elements.
-  inline constexpr zq_t operator+(const zq_t rhs) const
-  {
-    const uint32_t t = reduce_once(this->v + rhs.v);
-    return zq_t(t);
-  }
-
-  // Compound modulo addition of two Zq elements.
+  // Modulo Addition
+  inline constexpr zq_t operator+(const zq_t rhs) const { return reduce_once(this->v + rhs.v); }
   inline constexpr void operator+=(const zq_t rhs) { *this = *this + rhs; }
 
-  // Modulo negation of a Zq element.
-  inline constexpr zq_t operator-() const
-  {
-    const uint32_t tmp = Q - this->v;
-    return zq_t(tmp);
-  }
-
-  // Modulo subtraction of one Zq element from another one.
-  inline constexpr zq_t operator-(const zq_t rhs) const
-  {
-    const zq_t t0 = -rhs;
-    return *this + t0;
-  }
-
-  // Compound modulo subtraction of two Zq elements.
+  // Modulo Negation and subtraction
+  inline constexpr zq_t operator-() const { return Q - this->v; }
+  inline constexpr zq_t operator-(const zq_t rhs) const { return *this + (-rhs); }
   inline constexpr void operator-=(const zq_t rhs) { *this = *this - rhs; }
 
-  // Modulo multiplication over prime field Z_q | q = 2^23 - 2^13 + 1
-  //
-  // Note, after multiplying two 23 -bit numbers, resulting into a 46 -bit
-  // number, it is reduced to Z_q using Barrett reduction algorithm, which
-  // avoids division by any value which is not a power of 2.
-  //
-  // See https://www.nayuki.io/page/barrett-reduction-algorithm for Barrett
-  // reduction algorithm
+  // Modulo Multiplication
   inline constexpr zq_t operator*(const zq_t rhs) const
   {
     const uint64_t t0 = static_cast<uint64_t>(this->v);
@@ -132,15 +105,9 @@ struct zq_t
     const uint32_t t7 = reduce_once(t6);
     return zq_t(t7);
   }
-
-  // Compound modulo multiplication of two Zq elements.
   inline constexpr void operator*=(const zq_t rhs) { *this = *this * rhs; }
 
-  // Raises field element to N -th power, using exponentiation by repeated
-  // squaring rule.
-  //
-  // Taken from
-  // https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ff.hpp#L224-L246
+  // Modulo Exponentiation
   inline constexpr zq_t operator^(const size_t n) const
   {
     zq_t base = *this;
@@ -161,48 +128,22 @@ struct zq_t
     return res;
   }
 
-  // Computes multiplicative inverse of Zq element s.t. a * a.inv() = 1 (mod Q).
-  //
-  // Note, if Zq element is 0, we can't compute multiplicative inverse and 0 is
-  // returned.
+  // Modulo multiplicative inverse and division
   inline constexpr zq_t inv() const { return *this ^ static_cast<size_t>(Q - 2); }
-
-  // Modulo division of two Zq elements.
-  //
-  // Note, if denominator is 0, returned result is 0 too, becaue we can't
-  // compute multiplicative inverse of 0.
   inline constexpr zq_t operator/(const zq_t rhs) const { return *this * rhs.inv(); }
 
-  // Equality check between two field elements ∈ Z_q | q = 2^23 - 2^13 + 1
-  inline constexpr bool operator==(const zq_t rhs) const { return !static_cast<bool>(this->v ^ rhs.v); }
+  // Comparison operations, see https://en.cppreference.com/w/cpp/language/default_comparisons
+  inline constexpr auto operator<=>(const zq_t&) const = default;
 
-  // Non-equality check between two field elements ∈ Z_q | q = 2^23 - 2^13 + 1
-  inline constexpr bool operator!=(const zq_t rhs) const { return !(*this == rhs); }
-
-  // Greater than operator applied to elements ∈ Z_q | q = 2^23 - 2^13 + 1
-  inline constexpr bool operator>(const zq_t rhs) const { return this->v > rhs.v; }
-
-  // Greater than equal operator applied to elements ∈ Z_q | q = 2^23 - 2^13 + 1
-  inline constexpr bool operator>=(const zq_t rhs) const { return this->v >= rhs.v; }
-
-  // Lesser than operator applied to elements ∈ Z_q | q = 2^23 - 2^13 + 1
-  inline constexpr bool operator<(const zq_t rhs) const { return this->v < rhs.v; }
-
-  // Lesser than equal operator applied to elements ∈ Z_q | q = 2^23 - 2^13 + 1
-  inline constexpr bool operator<=(const zq_t rhs) const { return this->v <= rhs.v; }
-
-  // Shifts operand ∈ Z_q, leftwards by l bit positions | q = 2^23 - 2^13 + 1
+  // Modulo left shift by `l` -bits
   inline constexpr zq_t operator<<(const size_t l) const { return zq_t(this->v << l); }
 
-  // Generate a random field element ∈ Z_q | q = 2^23 - 2^13 + 1
+  // Generate a random field element
   static inline zq_t random(prng::prng_t& prng)
   {
     uint32_t res = 0;
     prng.read(std::span(reinterpret_cast<uint8_t*>(&res), sizeof(res)));
-
-    // Modulo reduce random sampled 32 -bit unsigned integer value, because
-    // explicit constructor of Zq expects its input ∈ [0, Q).
-    return zq_t(barrett_reduce(res));
+    return zq_t::from_non_reduced(res);
   }
 
 private:

From a710199f2ff8e01d71ce1fa068c8188cb3668e83 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 14 Jul 2024 21:22:14 +0400
Subject: [PATCH 08/37] Update namespace of prime field arithmetic to be more
 collision resistant

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/dilithium2.hpp                 |  2 +-
 include/ml_dsa/dilithium3.hpp                 |  2 +-
 include/ml_dsa/dilithium5.hpp                 |  2 +-
 include/ml_dsa/internals/dilithium.hpp        | 84 +++++++++----------
 include/ml_dsa/internals/math/field.hpp       |  2 +-
 include/ml_dsa/internals/math/reduction.hpp   | 64 +++++++-------
 include/ml_dsa/internals/poly/bit_packing.hpp | 16 ++--
 include/ml_dsa/internals/poly/ntt.hpp         | 20 ++---
 include/ml_dsa/internals/poly/poly.hpp        | 48 +++++------
 include/ml_dsa/internals/poly/polyvec.hpp     | 64 +++++++-------
 include/ml_dsa/internals/poly/sampling.hpp    | 30 +++----
 include/ml_dsa/internals/utility/params.hpp   | 22 ++---
 include/ml_dsa/internals/utility/utils.hpp    |  2 +-
 tests/dudect/test_dilithium2.cpp              | 14 ++--
 tests/dudect/test_dilithium3.cpp              | 14 ++--
 tests/dudect/test_dilithium5.cpp              | 14 ++--
 tests/test_bit_packing.cpp                    | 28 +++----
 tests/test_field.cpp                          | 12 +--
 tests/test_reduction.cpp                      | 24 +++---
 tests/test_sampling.cpp                       |  8 +-
 20 files changed, 236 insertions(+), 236 deletions(-)

diff --git a/include/ml_dsa/dilithium2.hpp b/include/ml_dsa/dilithium2.hpp
index 65c777f..54a44d8 100644
--- a/include/ml_dsa/dilithium2.hpp
+++ b/include/ml_dsa/dilithium2.hpp
@@ -10,7 +10,7 @@ namespace dilithium2 {
 constexpr size_t d = 13;
 constexpr uint32_t τ = 39;
 constexpr uint32_t γ1 = 1u << 17;
-constexpr uint32_t γ2 = (field::Q - 1) / 88;
+constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 88;
 constexpr size_t k = 4;
 constexpr size_t l = 4;
 constexpr uint32_t η = 2;
diff --git a/include/ml_dsa/dilithium3.hpp b/include/ml_dsa/dilithium3.hpp
index 886eff7..05401bb 100644
--- a/include/ml_dsa/dilithium3.hpp
+++ b/include/ml_dsa/dilithium3.hpp
@@ -10,7 +10,7 @@ namespace dilithium3 {
 constexpr size_t d = 13;
 constexpr uint32_t τ = 49;
 constexpr uint32_t γ1 = 1u << 19;
-constexpr uint32_t γ2 = (field::Q - 1) / 32;
+constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 32;
 constexpr size_t k = 6;
 constexpr size_t l = 5;
 constexpr uint32_t η = 4;
diff --git a/include/ml_dsa/dilithium5.hpp b/include/ml_dsa/dilithium5.hpp
index a717b35..836b358 100644
--- a/include/ml_dsa/dilithium5.hpp
+++ b/include/ml_dsa/dilithium5.hpp
@@ -10,7 +10,7 @@ namespace dilithium5 {
 constexpr size_t d = 13;
 constexpr uint32_t τ = 60;
 constexpr uint32_t γ1 = 1u << 19;
-constexpr uint32_t γ2 = (field::Q - 1) / 32;
+constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 32;
 constexpr size_t k = 8;
 constexpr size_t l = 7;
 constexpr uint32_t η = 2;
diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index 4a24ce6..5feb729 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -41,32 +41,32 @@ keygen(std::span<const uint8_t, 32> seed,
   auto rho_prime = _seed_hash.template subspan<rho.size(), 64>();
   auto key = _seed_hash.template subspan<rho.size() + rho_prime.size(), 32>();
 
-  std::array<field::zq_t, k * l * ntt::N> A{};
+  std::array<ml_dsa_field::zq_t, k * l * ntt::N> A{};
   sampling::expand_a<k, l>(rho, A);
 
-  std::array<field::zq_t, l * ntt::N> s1{};
-  std::array<field::zq_t, k * ntt::N> s2{};
+  std::array<ml_dsa_field::zq_t, l * ntt::N> s1{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> s2{};
 
   sampling::expand_s<η, l, 0>(rho_prime, s1);
   sampling::expand_s<η, k, l>(rho_prime, s2);
 
-  std::array<field::zq_t, l * ntt::N> s1_prime{};
+  std::array<ml_dsa_field::zq_t, l * ntt::N> s1_prime{};
 
   std::copy(s1.begin(), s1.end(), s1_prime.begin());
   polyvec::ntt<l>(s1_prime);
 
-  std::array<field::zq_t, k * ntt::N> t{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> t{};
 
   polyvec::matrix_multiply<k, l, l, 1>(A, s1_prime, t);
   polyvec::intt<k>(t);
   polyvec::add_to<k>(s2, t);
 
-  std::array<field::zq_t, k * ntt::N> t1{};
-  std::array<field::zq_t, k * ntt::N> t0{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> t1{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> t0{};
 
   polyvec::power2round<k, d>(t, t1, t0);
 
-  constexpr size_t t1_bw = std::bit_width(field::Q) - d;
+  constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
   std::array<uint8_t, 64> tr{};
 
   // Prepare public key
@@ -159,7 +159,7 @@ sign(std::span<const uint8_t, 32> rnd,
   auto key = seckey.template subspan<skoff1, skoff2 - skoff1>();
   auto tr = seckey.template subspan<skoff2, skoff3 - skoff2>();
 
-  std::array<field::zq_t, k * l * ntt::N> A{};
+  std::array<ml_dsa_field::zq_t, k * l * ntt::N> A{};
   sampling::expand_a<k, l>(rho, A);
 
   std::array<uint8_t, 64> mu{};
@@ -180,9 +180,9 @@ sign(std::span<const uint8_t, 32> rnd,
   hasher.finalize();
   hasher.squeeze(rho_prime);
 
-  std::array<field::zq_t, l * ntt::N> s1{};
-  std::array<field::zq_t, k * ntt::N> s2{};
-  std::array<field::zq_t, k * ntt::N> t0{};
+  std::array<ml_dsa_field::zq_t, l * ntt::N> s1{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> s2{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> t0{};
 
   polyvec::decode<l, eta_bw>(seckey.template subspan<skoff3, skoff4 - skoff3>(), s1);
   polyvec::decode<k, eta_bw>(seckey.template subspan<skoff4, skoff5 - skoff4>(), s2);
@@ -199,8 +199,8 @@ sign(std::span<const uint8_t, 32> rnd,
   bool has_signed = false;
   uint16_t kappa = 0;
 
-  std::array<field::zq_t, l * ntt::N> z{};
-  std::array<field::zq_t, k * ntt::N> h{};
+  std::array<ml_dsa_field::zq_t, l * ntt::N> z{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> h{};
 
   std::array<uint8_t, (2 * λ) / std::numeric_limits<uint8_t>::digits> c_tilda{};
   auto c_tilda_span = std::span(c_tilda);
@@ -208,9 +208,9 @@ sign(std::span<const uint8_t, 32> rnd,
   auto c2_tilda = c_tilda_span.template last<32>();
 
   while (!has_signed) {
-    std::array<field::zq_t, l * ntt::N> y{};
-    std::array<field::zq_t, l * ntt::N> y_prime{};
-    std::array<field::zq_t, k * ntt::N> w{};
+    std::array<ml_dsa_field::zq_t, l * ntt::N> y{};
+    std::array<ml_dsa_field::zq_t, l * ntt::N> y_prime{};
+    std::array<ml_dsa_field::zq_t, k * ntt::N> w{};
 
     sampling::expand_mask<γ1, l>(rho_prime, kappa, y);
 
@@ -221,13 +221,13 @@ sign(std::span<const uint8_t, 32> rnd,
     polyvec::intt<k>(w);
 
     constexpr uint32_t α = γ2 << 1;
-    constexpr uint32_t m = (field::Q - 1u) / α;
+    constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
     constexpr size_t w1bw = std::bit_width(m - 1u);
 
-    std::array<field::zq_t, k * ntt::N> w1{};
+    std::array<ml_dsa_field::zq_t, k * ntt::N> w1{};
     std::array<uint8_t, _mu.size() + (k * w1bw * 32)> hash_in{};
     auto _hash_in = std::span(hash_in);
-    std::array<field::zq_t, ntt::N> c{};
+    std::array<ml_dsa_field::zq_t, ntt::N> c{};
 
     polyvec::highbits<k, α>(w, w1);
 
@@ -246,8 +246,8 @@ sign(std::span<const uint8_t, 32> rnd,
     polyvec::intt<l>(z);
     polyvec::add_to<l>(y, z);
 
-    std::array<field::zq_t, k * ntt::N> r0{};
-    std::array<field::zq_t, k * ntt::N> r1{};
+    std::array<ml_dsa_field::zq_t, k * ntt::N> r0{};
+    std::array<ml_dsa_field::zq_t, k * ntt::N> r1{};
 
     polyvec::mul_by_poly<k>(c, s2, r1);
     polyvec::intt<k>(r1);
@@ -255,11 +255,11 @@ sign(std::span<const uint8_t, 32> rnd,
     polyvec::add_to<k>(w, r1);
     polyvec::lowbits<k, α>(r1, r0);
 
-    const field::zq_t z_norm = polyvec::infinity_norm<l>(z);
-    const field::zq_t r0_norm = polyvec::infinity_norm<k>(r0);
+    const ml_dsa_field::zq_t z_norm = polyvec::infinity_norm<l>(z);
+    const ml_dsa_field::zq_t r0_norm = polyvec::infinity_norm<k>(r0);
 
-    constexpr field::zq_t bound0(γ1 - β);
-    constexpr field::zq_t bound1(γ2 - β);
+    constexpr ml_dsa_field::zq_t bound0(γ1 - β);
+    constexpr ml_dsa_field::zq_t bound1(γ2 - β);
 
     const bool flg0 = z_norm >= bound0;
     const bool flg1 = r0_norm >= bound1;
@@ -267,8 +267,8 @@ sign(std::span<const uint8_t, 32> rnd,
 
     has_signed = !flg2;
 
-    std::array<field::zq_t, k * ntt::N> h0{};
-    std::array<field::zq_t, k * ntt::N> h1{};
+    std::array<ml_dsa_field::zq_t, k * ntt::N> h0{};
+    std::array<ml_dsa_field::zq_t, k * ntt::N> h1{};
 
     polyvec::mul_by_poly<k>(c, t0, h0);
     polyvec::intt<k>(h0);
@@ -277,10 +277,10 @@ sign(std::span<const uint8_t, 32> rnd,
     polyvec::add_to<k>(h1, r1);
     polyvec::make_hint<k, α>(h0, r1, h);
 
-    const field::zq_t ct0_norm = polyvec::infinity_norm<k>(h1);
+    const ml_dsa_field::zq_t ct0_norm = polyvec::infinity_norm<k>(h1);
     const size_t count_1 = polyvec::count_1s<k>(h);
 
-    constexpr field::zq_t bound2(γ2);
+    constexpr ml_dsa_field::zq_t bound2(γ2);
 
     const bool flg3 = ct0_norm >= bound2;
     const bool flg4 = count_1 > ω;
@@ -316,7 +316,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
        std::span<const uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
   requires(dilithium_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
 {
-  constexpr size_t t1_bw = std::bit_width(field::Q) - d;
+  constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
 
   constexpr size_t pkoff0 = 0;
   constexpr size_t pkoff1 = pkoff0 + 32;
@@ -328,8 +328,8 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   constexpr size_t sigoff2 = sigoff1 + (32 * l * gamma1_bw);
   constexpr size_t sigoff3 = sig.size();
 
-  std::array<field::zq_t, k * l * ntt::N> A{};
-  std::array<field::zq_t, k * ntt::N> t1{};
+  std::array<ml_dsa_field::zq_t, k * l * ntt::N> A{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> t1{};
 
   sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
   polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
@@ -348,7 +348,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   hasher.finalize();
   hasher.squeeze(mu);
 
-  std::array<field::zq_t, ntt::N> c{};
+  std::array<ml_dsa_field::zq_t, ntt::N> c{};
   auto c_tilda = sig.template first<sigoff1 - sigoff0>();
   auto c1_tilda = c_tilda.template first<32>();
   auto c2_tilda = c_tilda.template last<32>();
@@ -356,18 +356,18 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   sampling::sample_in_ball<τ>(c1_tilda, c);
   ntt::ntt(c);
 
-  std::array<field::zq_t, l * ntt::N> z{};
-  std::array<field::zq_t, k * ntt::N> h{};
+  std::array<ml_dsa_field::zq_t, l * ntt::N> z{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> h{};
 
   polyvec::decode<l, gamma1_bw>(sig.template subspan<sigoff1, sigoff2 - sigoff1>(), z);
   polyvec::sub_from_x<l, γ1>(z);
   const bool failed = bit_packing::decode_hint_bits<k, ω>(sig.template subspan<sigoff2, sigoff3 - sigoff2>(), h);
 
-  std::array<field::zq_t, k * ntt::N> w0{};
-  std::array<field::zq_t, k * ntt::N> w1{};
-  std::array<field::zq_t, k * ntt::N> w2{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> w0{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> w1{};
+  std::array<ml_dsa_field::zq_t, k * ntt::N> w2{};
 
-  const field::zq_t z_norm = polyvec::infinity_norm<l>(z);
+  const ml_dsa_field::zq_t z_norm = polyvec::infinity_norm<l>(z);
   const size_t count_1 = polyvec::count_1s<k>(h);
 
   polyvec::ntt<l>(z);
@@ -382,7 +382,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   polyvec::intt<k>(w2);
 
   constexpr uint32_t α = γ2 << 1;
-  constexpr uint32_t m = (field::Q - 1u) / α;
+  constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   polyvec::use_hint<k, α>(h, w2, w1);
@@ -400,7 +400,7 @@ verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
   hasher.finalize();
   hasher.squeeze(c_tilda_prime);
 
-  constexpr field::zq_t bound0(γ1 - β);
+  constexpr ml_dsa_field::zq_t bound0(γ1 - β);
 
   const bool flg0 = z_norm < bound0;
   bool flg1 = false;
diff --git a/include/ml_dsa/internals/math/field.hpp b/include/ml_dsa/internals/math/field.hpp
index bc9f766..e2f39ea 100644
--- a/include/ml_dsa/internals/math/field.hpp
+++ b/include/ml_dsa/internals/math/field.hpp
@@ -5,7 +5,7 @@
 #include <cstdint>
 
 // Prime field arithmetic over Z_q s.t. q = 2^23 - 2^13 + 1
-namespace field {
+namespace ml_dsa_field {
 
 // ML-DSA Prime Field Modulus
 constexpr uint32_t Q = (1u << 23) - (1u << 13) + 1u;
diff --git a/include/ml_dsa/internals/math/reduction.hpp b/include/ml_dsa/internals/math/reduction.hpp
index b958265..87e8842 100644
--- a/include/ml_dsa/internals/math/reduction.hpp
+++ b/include/ml_dsa/internals/math/reduction.hpp
@@ -20,8 +20,8 @@ namespace reduction {
 // This implementation collects some ideas from
 // https://github.com/pq-crystals/dilithium/blob/3e9b9f1/ref/rounding.c#L5-L23
 template<size_t d>
-static inline constexpr std::pair<field::zq_t, field::zq_t>
-power2round(const field::zq_t r)
+static inline constexpr std::pair<ml_dsa_field::zq_t, ml_dsa_field::zq_t>
+power2round(const ml_dsa_field::zq_t r)
   requires(dilithium_params::check_d(d))
 {
   constexpr uint32_t max = 1u << (d - 1);
@@ -30,8 +30,8 @@ power2round(const field::zq_t r)
   const uint32_t t2 = t1 >> d;
   const uint32_t t3 = t2 << d;
 
-  const field::zq_t hi{ t2 };
-  const field::zq_t lo = r - field::zq_t{ t3 };
+  const ml_dsa_field::zq_t hi{ t2 };
+  const ml_dsa_field::zq_t lo = r - ml_dsa_field::zq_t{ t3 };
 
   return std::make_pair(hi, lo);
 }
@@ -46,25 +46,25 @@ power2round(const field::zq_t r)
 // See definition of this routine in figure 3 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t alpha>
-static inline constexpr std::pair<field::zq_t, field::zq_t>
-decompose(const field::zq_t r)
+static inline constexpr std::pair<ml_dsa_field::zq_t, ml_dsa_field::zq_t>
+decompose(const ml_dsa_field::zq_t r)
   requires(dilithium_params::check_γ2(alpha / 2))
 {
   constexpr uint32_t t0 = alpha >> 1;
-  constexpr uint32_t t1 = field::Q - 1u;
+  constexpr uint32_t t1 = ml_dsa_field::Q - 1u;
 
   const uint32_t t2 = r.raw() + t0 - 1u;
   const uint32_t t3 = t2 / alpha;
   const uint32_t t4 = t3 * alpha;
 
-  const field::zq_t r0 = r - field::zq_t{ t4 };
-  const field::zq_t t5 = r - r0;
+  const ml_dsa_field::zq_t r0 = r - ml_dsa_field::zq_t{ t4 };
+  const ml_dsa_field::zq_t t5 = r - r0;
 
   const bool flg = !static_cast<bool>(t5.raw() ^ t1);
-  const field::zq_t br[]{ field::zq_t(t5.raw() / alpha), field::zq_t::zero() };
+  const ml_dsa_field::zq_t br[]{ ml_dsa_field::zq_t(t5.raw() / alpha), ml_dsa_field::zq_t::zero() };
 
-  const field::zq_t r1 = br[flg];
-  const field::zq_t r0_ = r0 - field::zq_t{ 1u * flg };
+  const ml_dsa_field::zq_t r1 = br[flg];
+  const ml_dsa_field::zq_t r0_ = r0 - ml_dsa_field::zq_t{ 1u * flg };
 
   return std::make_pair(r1, r0_);
 }
@@ -75,8 +75,8 @@ decompose(const field::zq_t r)
 // See definition of this routine in figure 3 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t alpha>
-static inline constexpr field::zq_t
-highbits(const field::zq_t r)
+static inline constexpr ml_dsa_field::zq_t
+highbits(const ml_dsa_field::zq_t r)
 {
   const auto s = decompose<alpha>(r);
   return s.first;
@@ -88,8 +88,8 @@ highbits(const field::zq_t r)
 // See definition of this routine in figure 3 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t alpha>
-static inline constexpr field::zq_t
-lowbits(const field::zq_t r)
+static inline constexpr ml_dsa_field::zq_t
+lowbits(const ml_dsa_field::zq_t r)
 {
   const auto s = decompose<alpha>(r);
   return s.second;
@@ -104,13 +104,13 @@ lowbits(const field::zq_t r)
 // See definition of this routine in figure 3 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t alpha>
-static inline constexpr field::zq_t
-make_hint(const field::zq_t z, const field::zq_t r)
+static inline constexpr ml_dsa_field::zq_t
+make_hint(const ml_dsa_field::zq_t z, const ml_dsa_field::zq_t r)
 {
-  const field::zq_t r1 = highbits<alpha>(r);
-  const field::zq_t v1 = highbits<alpha>(r + z);
+  const ml_dsa_field::zq_t r1 = highbits<alpha>(r);
+  const ml_dsa_field::zq_t v1 = highbits<alpha>(r + z);
 
-  return field::zq_t{ static_cast<uint32_t>(r1 != v1) };
+  return ml_dsa_field::zq_t{ static_cast<uint32_t>(r1 != v1) };
 }
 
 // 1 -bit hint ( read h ) is used to recover higher order bits of r + z s.t.
@@ -119,24 +119,24 @@ make_hint(const field::zq_t z, const field::zq_t r)
 // See definition of this routine in figure 3 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t alpha>
-static inline constexpr field::zq_t
-use_hint(const field::zq_t h, const field::zq_t r)
+static inline constexpr ml_dsa_field::zq_t
+use_hint(const ml_dsa_field::zq_t h, const ml_dsa_field::zq_t r)
 {
-  constexpr uint32_t m = (field::Q - 1) / alpha;
-  constexpr field::zq_t t0{ alpha >> 1 };
-  constexpr field::zq_t t1 = field::zq_t{ field::Q } - t0;
-  constexpr field::zq_t t2{ 1u };
+  constexpr uint32_t m = (ml_dsa_field::Q - 1) / alpha;
+  constexpr ml_dsa_field::zq_t t0{ alpha >> 1 };
+  constexpr ml_dsa_field::zq_t t1 = ml_dsa_field::zq_t{ ml_dsa_field::Q } - t0;
+  constexpr ml_dsa_field::zq_t t2{ 1u };
 
   const auto s = decompose<alpha>(r);
 
-  if ((h == t2) && ((s.second > field::zq_t::zero()) && (s.second < t1))) {
-    const bool flg = s.first == field::zq_t{ m - 1u };
-    const field::zq_t br[]{ s.first + t2, field::zq_t{ 0u } };
+  if ((h == t2) && ((s.second > ml_dsa_field::zq_t::zero()) && (s.second < t1))) {
+    const bool flg = s.first == ml_dsa_field::zq_t{ m - 1u };
+    const ml_dsa_field::zq_t br[]{ s.first + t2, ml_dsa_field::zq_t{ 0u } };
 
     return br[flg];
   } else if ((h == t2) && (s.second >= t1)) {
-    const bool flg = s.first == field::zq_t{ 0u };
-    const field::zq_t br[]{ s.first - t2, field::zq_t{ m - 1 } };
+    const bool flg = s.first == ml_dsa_field::zq_t{ 0u };
+    const ml_dsa_field::zq_t br[]{ s.first - t2, ml_dsa_field::zq_t{ m - 1 } };
 
     return br[flg];
   } else {
diff --git a/include/ml_dsa/internals/poly/bit_packing.hpp b/include/ml_dsa/internals/poly/bit_packing.hpp
index f475145..7161064 100644
--- a/include/ml_dsa/internals/poly/bit_packing.hpp
+++ b/include/ml_dsa/internals/poly/bit_packing.hpp
@@ -17,7 +17,7 @@ namespace bit_packing {
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t sbw>
 static inline constexpr void
-encode(std::span<const field::zq_t, ntt::N> poly, std::span<uint8_t, ntt::N * sbw / 8> arr)
+encode(std::span<const ml_dsa_field::zq_t, ntt::N> poly, std::span<uint8_t, ntt::N * sbw / 8> arr)
   requires(dilithium_params::check_sbw(sbw))
 {
   std::memset(arr.data(), 0, arr.size());
@@ -186,12 +186,12 @@ encode(std::span<const field::zq_t, ntt::N> poly, std::span<uint8_t, ntt::N * sb
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t sbw>
 static inline constexpr void
-decode(std::span<const uint8_t, ntt::N * sbw / 8> arr, std::span<field::zq_t, ntt::N> poly)
+decode(std::span<const uint8_t, ntt::N * sbw / 8> arr, std::span<ml_dsa_field::zq_t, ntt::N> poly)
   requires(dilithium_params::check_sbw(sbw))
 {
   // Instead of std::memset use following loop to avoid compiler warnings.
   for (size_t i = 0; i < poly.size(); i++) {
-    poly[i] = field::zq_t::zero();
+    poly[i] = ml_dsa_field::zq_t::zero();
   }
 
   if constexpr (sbw == 3) {
@@ -333,9 +333,9 @@ decode(std::span<const uint8_t, ntt::N * sbw / 8> arr, std::span<field::zq_t, nt
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k, size_t ω>
 static inline constexpr void
-encode_hint_bits(std::span<const field::zq_t, k * ntt::N> h, std::span<uint8_t, ω + k> arr)
+encode_hint_bits(std::span<const ml_dsa_field::zq_t, k * ntt::N> h, std::span<uint8_t, ω + k> arr)
 {
-  constexpr auto zero = field::zq_t::zero();
+  constexpr auto zero = ml_dsa_field::zq_t::zero();
   std::memset(arr.data(), 0, arr.size());
 
   size_t idx = 0;
@@ -363,9 +363,9 @@ encode_hint_bits(std::span<const field::zq_t, k * ntt::N> h, std::span<uint8_t,
 // failed.
 template<size_t k, size_t ω>
 static inline constexpr bool
-decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<field::zq_t, k * ntt::N> h)
+decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<ml_dsa_field::zq_t, k * ntt::N> h)
 {
-  std::fill(h.begin(), h.end(), field::zq_t::zero());
+  std::fill(h.begin(), h.end(), ml_dsa_field::zq_t::zero());
 
   size_t idx = 0;
   bool failed = false;
@@ -386,7 +386,7 @@ decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<field::zq_t, k
 
       failed |= flg1;
 
-      h[off + arr[j]] = field::zq_t::one();
+      h[off + arr[j]] = ml_dsa_field::zq_t::one();
     }
 
     idx = arr[ω + i];
diff --git a/include/ml_dsa/internals/poly/ntt.hpp b/include/ml_dsa/internals/poly/ntt.hpp
index 3380229..cf0ad2d 100644
--- a/include/ml_dsa/internals/poly/ntt.hpp
+++ b/include/ml_dsa/internals/poly/ntt.hpp
@@ -13,10 +13,10 @@ constexpr size_t N = 1 << LOG2N;
 // First primitive 512 -th root of unity modulo q | q = 2^23 - 2^13 + 1
 //
 // Meaning, 1753 ** 512 == 1 mod q
-constexpr field::zq_t ζ(1753);
+constexpr ml_dsa_field::zq_t ζ(1753);
 
 // Multiplicative inverse of N over Z_q | q = 2^23 - 2^13 + 1, N = 256
-constexpr auto INV_N = field::zq_t(N).inv();
+constexpr auto INV_N = ml_dsa_field::zq_t(N).inv();
 
 // Given a 64 -bit unsigned integer, this routine extracts specified many
 // contiguous bits from LSB ( least significant bits ) side & reverses their bit
@@ -42,10 +42,10 @@ bit_rev(const size_t v)
 
 // Compile-time compute table holding powers of ζ, which is used for computing
 // NTT over degree-255 polynomial s.t. coefficients ∈ Zq.
-static consteval std::array<field::zq_t, N>
+static consteval std::array<ml_dsa_field::zq_t, N>
 compute_powers_of_ζ()
 {
-  std::array<field::zq_t, N> res;
+  std::array<ml_dsa_field::zq_t, N> res;
 
   for (size_t i = 0; i < N; i++) {
     res[i] = ζ ^ bit_rev<LOG2N>(i);
@@ -59,10 +59,10 @@ constexpr auto ζ_EXP = compute_powers_of_ζ();
 
 // Compile-time compute table holding negated powers of ζ, which is used for
 // computing iNTT over degree-255 polynomial s.t. coefficients ∈ Zq.
-static consteval std::array<field::zq_t, N>
+static consteval std::array<ml_dsa_field::zq_t, N>
 compute_neg_powers_of_ζ()
 {
-  std::array<field::zq_t, N> res;
+  std::array<ml_dsa_field::zq_t, N> res;
 
   for (size_t i = 0; i < N; i++) {
     res[i] = -ζ_EXP[i];
@@ -84,7 +84,7 @@ constexpr auto ζ_NEG_EXP = compute_neg_powers_of_ζ();
 // Implementation inspired from
 // https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L95-L129
 static inline constexpr void
-ntt(std::span<field::zq_t, N> poly)
+ntt(std::span<ml_dsa_field::zq_t, N> poly)
 {
   for (int64_t l = LOG2N - 1; l >= 0; l--) {
     const size_t len = 1ul << l;
@@ -93,7 +93,7 @@ ntt(std::span<field::zq_t, N> poly)
 
     for (size_t start = 0; start < poly.size(); start += lenx2) {
       const size_t k_now = k_beg + (start >> (l + 1));
-      const field::zq_t ζ_exp = ζ_EXP[k_now];
+      const ml_dsa_field::zq_t ζ_exp = ζ_EXP[k_now];
 
       for (size_t i = start; i < start + len; i++) {
         auto tmp = ζ_exp * poly[i + len];
@@ -115,7 +115,7 @@ ntt(std::span<field::zq_t, N> poly)
 // Implementation inspired from
 // https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L131-L172
 static inline constexpr void
-intt(std::span<field::zq_t, N> poly)
+intt(std::span<ml_dsa_field::zq_t, N> poly)
 {
   for (size_t l = 0; l < LOG2N; l++) {
     const size_t len = 1ul << l;
@@ -124,7 +124,7 @@ intt(std::span<field::zq_t, N> poly)
 
     for (size_t start = 0; start < poly.size(); start += lenx2) {
       const size_t k_now = k_beg - (start >> (l + 1));
-      const field::zq_t neg_ζ_exp = ζ_NEG_EXP[k_now];
+      const ml_dsa_field::zq_t neg_ζ_exp = ζ_NEG_EXP[k_now];
 
       for (size_t i = start; i < start + len; i++) {
         const auto tmp = poly[i];
diff --git a/include/ml_dsa/internals/poly/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
index feebb10..ed6377e 100644
--- a/include/ml_dsa/internals/poly/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -13,9 +13,9 @@ namespace poly {
 // attempts to extract out high and low order bits from each of 256 coefficients
 template<size_t d>
 static inline constexpr void
-power2round(std::span<const field::zq_t, ntt::N> poly,
-            std::span<field::zq_t, ntt::N> poly_hi,
-            std::span<field::zq_t, ntt::N> poly_lo)
+power2round(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
+            std::span<ml_dsa_field::zq_t, ntt::N> poly_hi,
+            std::span<ml_dsa_field::zq_t, ntt::N> poly_lo)
   requires(dilithium_params::check_d(d))
 {
   for (size_t i = 0; i < poly.size(); i++) {
@@ -29,9 +29,9 @@ power2round(std::span<const field::zq_t, ntt::N> poly,
 // Given two degree-255 polynomials in NTT representation, this routine performs
 // element-wise multiplication over Z_q | q = 2^23 - 2^13 + 1
 static inline constexpr void
-mul(std::span<const field::zq_t, ntt::N> polya,
-    std::span<const field::zq_t, ntt::N> polyb,
-    std::span<field::zq_t, ntt::N> polyc)
+mul(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
+    std::span<const ml_dsa_field::zq_t, ntt::N> polyb,
+    std::span<ml_dsa_field::zq_t, ntt::N> polyc)
 {
   for (size_t i = 0; i < polya.size(); i++) {
     polyc[i] = polya[i] * polyb[i];
@@ -42,9 +42,9 @@ mul(std::span<const field::zq_t, ntt::N> polya,
 // this routine subtracts each coefficient from x, so that they stay in [0, 2x].
 template<uint32_t x>
 static inline constexpr void
-sub_from_x(std::span<field::zq_t, ntt::N> poly)
+sub_from_x(std::span<ml_dsa_field::zq_t, ntt::N> poly)
 {
-  constexpr field::zq_t x_cap(x);
+  constexpr ml_dsa_field::zq_t x_cap(x);
 
   for (size_t i = 0; i < poly.size(); i++) {
     poly[i] = x_cap - poly[i];
@@ -55,7 +55,7 @@ sub_from_x(std::span<field::zq_t, ntt::N> poly)
 // using decompose routine ), while not mutating source polynomial
 template<uint32_t alpha>
 static inline constexpr void
-highbits(std::span<const field::zq_t, ntt::N> src, std::span<field::zq_t, ntt::N> dst)
+highbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field::zq_t, ntt::N> dst)
 {
   for (size_t i = 0; i < src.size(); i++) {
     dst[i] = reduction::highbits<alpha>(src[i]);
@@ -66,7 +66,7 @@ highbits(std::span<const field::zq_t, ntt::N> src, std::span<field::zq_t, ntt::N
 // using decompose routine ), while not mutating source polynomial
 template<uint32_t alpha>
 static inline constexpr void
-lowbits(std::span<const field::zq_t, ntt::N> src, std::span<field::zq_t, ntt::N> dst)
+lowbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field::zq_t, ntt::N> dst)
 {
   for (size_t i = 0; i < src.size(); i++) {
     dst[i] = reduction::lowbits<alpha>(src[i]);
@@ -77,15 +77,15 @@ lowbits(std::span<const field::zq_t, ntt::N> src, std::span<field::zq_t, ntt::N>
 //
 // See point `Sizes of elements` in section 2.1 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-static inline constexpr field::zq_t
-infinity_norm(std::span<const field::zq_t, ntt::N> poly)
+static inline constexpr ml_dsa_field::zq_t
+infinity_norm(std::span<const ml_dsa_field::zq_t, ntt::N> poly)
 {
-  constexpr field::zq_t qby2(field::Q / 2);
-  auto res = field::zq_t::zero();
+  constexpr ml_dsa_field::zq_t qby2(ml_dsa_field::Q / 2);
+  auto res = ml_dsa_field::zq_t::zero();
 
   for (size_t i = 0; i < poly.size(); i++) {
     const bool flg = poly[i] > qby2;
-    const field::zq_t br[]{ poly[i], -poly[i] };
+    const ml_dsa_field::zq_t br[]{ poly[i], -poly[i] };
 
     res = std::max(res, br[flg]);
   }
@@ -97,9 +97,9 @@ infinity_norm(std::span<const field::zq_t, ntt::N> poly)
 // coefficient, using `make_hint` routine.
 template<uint32_t alpha>
 static inline constexpr void
-make_hint(std::span<const field::zq_t, ntt::N> polya,
-          std::span<const field::zq_t, ntt::N> polyb,
-          std::span<field::zq_t, ntt::N> polyc)
+make_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
+          std::span<const ml_dsa_field::zq_t, ntt::N> polyb,
+          std::span<ml_dsa_field::zq_t, ntt::N> polyc)
 {
   for (size_t i = 0; i < polya.size(); i++) {
     polyc[i] = reduction::make_hint<alpha>(polya[i], polyb[i]);
@@ -112,9 +112,9 @@ make_hint(std::span<const field::zq_t, ntt::N> polya,
 // z is another degree-255 polynomial with small coefficients.
 template<uint32_t alpha>
 static inline constexpr void
-use_hint(std::span<const field::zq_t, ntt::N> polyh,
-         std::span<const field::zq_t, ntt::N> polyr,
-         std::span<field::zq_t, ntt::N> polyrz)
+use_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polyh,
+         std::span<const ml_dsa_field::zq_t, ntt::N> polyr,
+         std::span<ml_dsa_field::zq_t, ntt::N> polyrz)
 {
   for (size_t i = 0; i < polyh.size(); i++) {
     polyrz[i] = reduction::use_hint<alpha>(polyh[i], polyr[i]);
@@ -124,9 +124,9 @@ use_hint(std::span<const field::zq_t, ntt::N> polyh,
 // Given a degree-255 polynomial, this routine counts number of coefficients
 // having value 1.
 static inline constexpr size_t
-count_1s(std::span<const field::zq_t, ntt::N> poly)
+count_1s(std::span<const ml_dsa_field::zq_t, ntt::N> poly)
 {
-  constexpr auto one = field::zq_t::one();
+  constexpr auto one = ml_dsa_field::zq_t::one();
   size_t cnt = 0;
 
   for (size_t i = 0; i < poly.size(); i++) {
@@ -140,7 +140,7 @@ count_1s(std::span<const field::zq_t, ntt::N> poly)
 // leftwards, by d bits
 template<size_t d>
 static inline constexpr void
-shl(std::span<field::zq_t, ntt::N> poly)
+shl(std::span<ml_dsa_field::zq_t, ntt::N> poly)
 {
   for (size_t i = 0; i < poly.size(); i++) {
     poly[i] = poly[i] << d;
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index f6b8f96..5937b69 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -10,13 +10,13 @@
 // Utility functions applied on vector of degree-255 polynomials
 namespace polyvec {
 
-using const_poly_t = std::span<const field::zq_t, ntt::N>;
-using poly_t = std::span<field::zq_t, ntt::N>;
+using const_poly_t = std::span<const ml_dsa_field::zq_t, ntt::N>;
+using poly_t = std::span<ml_dsa_field::zq_t, ntt::N>;
 
 // Applies NTT on a vector ( of dimension k x 1 ) of degree-255 polynomials
 template<size_t k>
 static inline constexpr void
-ntt(std::span<field::zq_t, k * ntt::N> vec)
+ntt(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -27,7 +27,7 @@ ntt(std::span<field::zq_t, k * ntt::N> vec)
 // Applies iNTT on a vector ( of dimension k x 1 ) of degree-255 polynomials
 template<size_t k>
 static inline constexpr void
-intt(std::span<field::zq_t, k * ntt::N> vec)
+intt(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -39,9 +39,9 @@ intt(std::span<field::zq_t, k * ntt::N> vec)
 // extracting out high and low order bits
 template<size_t k, size_t d>
 static inline constexpr void
-power2round(std::span<const field::zq_t, k * ntt::N> poly,
-            std::span<field::zq_t, k * ntt::N> poly_hi,
-            std::span<field::zq_t, k * ntt::N> poly_lo)
+power2round(std::span<const ml_dsa_field::zq_t, k * ntt::N> poly,
+            std::span<ml_dsa_field::zq_t, k * ntt::N> poly_hi,
+            std::span<ml_dsa_field::zq_t, k * ntt::N> poly_lo)
   requires(dilithium_params::check_d(d))
 {
   for (size_t i = 0; i < k; i++) {
@@ -57,12 +57,12 @@ power2round(std::span<const field::zq_t, k * ntt::N> poly,
 // routine attempts to multiply and compute resulting matrix
 template<size_t a_rows, size_t a_cols, size_t b_rows, size_t b_cols>
 static inline constexpr void
-matrix_multiply(std::span<const field::zq_t, a_rows * a_cols * ntt::N> a,
-                std::span<const field::zq_t, b_rows * b_cols * ntt::N> b,
-                std::span<field::zq_t, a_rows * b_cols * ntt::N> c)
+matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ntt::N> a,
+                std::span<const ml_dsa_field::zq_t, b_rows * b_cols * ntt::N> b,
+                std::span<ml_dsa_field::zq_t, a_rows * b_cols * ntt::N> c)
   requires(dilithium_params::check_matrix_dim(a_cols, b_rows))
 {
-  std::array<field::zq_t, ntt::N> tmp{};
+  std::array<ml_dsa_field::zq_t, ntt::N> tmp{};
   auto _tmp = std::span(tmp);
 
   for (size_t i = 0; i < a_rows; i++) {
@@ -88,7 +88,7 @@ matrix_multiply(std::span<const field::zq_t, a_rows * a_cols * ntt::N> a,
 // destination vector is mutated.
 template<size_t k>
 static inline constexpr void
-add_to(std::span<const field::zq_t, k * ntt::N> src, std::span<field::zq_t, k * ntt::N> dst)
+add_to(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -103,7 +103,7 @@ add_to(std::span<const field::zq_t, k * ntt::N> src, std::span<field::zq_t, k *
 // routine negates each coefficient.
 template<size_t k>
 static inline constexpr void
-neg(std::span<field::zq_t, k * ntt::N> vec)
+neg(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -119,7 +119,7 @@ neg(std::span<field::zq_t, k * ntt::N> vec)
 // coefficients now stay in [0, 2x].
 template<size_t k, uint32_t x>
 static inline constexpr void
-sub_from_x(std::span<field::zq_t, k * ntt::N> vec)
+sub_from_x(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -132,7 +132,7 @@ sub_from_x(std::span<field::zq_t, k * ntt::N> vec)
 // (k x 32 x sbw) -bytes destination array.
 template<size_t k, size_t sbw>
 static inline constexpr void
-encode(std::span<const field::zq_t, k * ntt::N> src, std::span<uint8_t, k * sbw * ntt::N / 8> dst)
+encode(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<uint8_t, k * sbw * ntt::N / 8> dst)
 {
   // Byte length of degree-255 polynomial after serialization
   constexpr size_t poly_blen = sbw * ntt::N / 8;
@@ -151,7 +151,7 @@ encode(std::span<const field::zq_t, k * ntt::N> src, std::span<uint8_t, k * sbw
 // k x 1.
 template<size_t k, size_t sbw>
 static inline constexpr void
-decode(std::span<const uint8_t, k * sbw * ntt::N / 8> src, std::span<field::zq_t, k * ntt::N> dst)
+decode(std::span<const uint8_t, k * sbw * ntt::N / 8> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
 {
   // Byte length of degree-255 polynomial after serialization
   constexpr size_t poly_blen = sbw * ntt::N / 8;
@@ -169,7 +169,7 @@ decode(std::span<const uint8_t, k * sbw * ntt::N / 8> src, std::span<field::zq_t
 // extracts out high order bits from each coefficient
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-highbits(std::span<const field::zq_t, k * ntt::N> src, std::span<field::zq_t, k * ntt::N> dst)
+highbits(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -181,7 +181,7 @@ highbits(std::span<const field::zq_t, k * ntt::N> src, std::span<field::zq_t, k
 // extracts out low order bits from each coefficient, while not mutating operand
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-lowbits(std::span<const field::zq_t, k * ntt::N> src, std::span<field::zq_t, k * ntt::N> dst)
+lowbits(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -195,9 +195,9 @@ lowbits(std::span<const field::zq_t, k * ntt::N> src, std::span<field::zq_t, k *
 // representation, while not mutating operand polynomials.
 template<size_t k>
 static inline constexpr void
-mul_by_poly(std::span<const field::zq_t, ntt::N> poly,
-            std::span<const field::zq_t, k * ntt::N> src_vec,
-            std::span<field::zq_t, k * ntt::N> dst_vec)
+mul_by_poly(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
+            std::span<const ml_dsa_field::zq_t, k * ntt::N> src_vec,
+            std::span<ml_dsa_field::zq_t, k * ntt::N> dst_vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -211,10 +211,10 @@ mul_by_poly(std::span<const field::zq_t, ntt::N> poly,
 // See point `Sizes of elements` in section 2.1 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k>
-static inline constexpr field::zq_t
-infinity_norm(std::span<const field::zq_t, k * ntt::N> vec)
+static inline constexpr ml_dsa_field::zq_t
+infinity_norm(std::span<const ml_dsa_field::zq_t, k * ntt::N> vec)
 {
-  auto res = field::zq_t::zero();
+  auto res = ml_dsa_field::zq_t::zero();
 
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -228,9 +228,9 @@ infinity_norm(std::span<const field::zq_t, k * ntt::N> vec)
 // routine computes hint bit for each coefficient, using `make_hint` routine.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-make_hint(std::span<const field::zq_t, k * ntt::N> polya,
-          std::span<const field::zq_t, k * ntt::N> polyb,
-          std::span<field::zq_t, k * ntt::N> polyc)
+make_hint(std::span<const ml_dsa_field::zq_t, k * ntt::N> polya,
+          std::span<const ml_dsa_field::zq_t, k * ntt::N> polyb,
+          std::span<ml_dsa_field::zq_t, k * ntt::N> polyc)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -245,9 +245,9 @@ make_hint(std::span<const field::zq_t, k * ntt::N> polya,
 // provided.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-use_hint(std::span<const field::zq_t, k * ntt::N> polyh,
-         std::span<const field::zq_t, k * ntt::N> polyr,
-         std::span<field::zq_t, k * ntt::N> polyrz)
+use_hint(std::span<const ml_dsa_field::zq_t, k * ntt::N> polyh,
+         std::span<const ml_dsa_field::zq_t, k * ntt::N> polyr,
+         std::span<ml_dsa_field::zq_t, k * ntt::N> polyrz)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -261,7 +261,7 @@ use_hint(std::span<const field::zq_t, k * ntt::N> polyh,
 // counts number of coefficients having value 1.
 template<size_t k>
 static inline constexpr size_t
-count_1s(std::span<const field::zq_t, k * ntt::N> vec)
+count_1s(std::span<const ml_dsa_field::zq_t, k * ntt::N> vec)
 {
   size_t cnt = 0;
 
@@ -277,7 +277,7 @@ count_1s(std::span<const field::zq_t, k * ntt::N> vec)
 // shifts each coefficient leftwards by d bits
 template<size_t k, size_t d>
 static inline constexpr void
-shl(std::span<field::zq_t, k * ntt::N> vec)
+shl(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index 9654f58..28e5e13 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -13,7 +13,7 @@
 // Sampling polynomials/ vector of polynomials related routines
 namespace sampling {
 
-using poly_t = std::span<field::zq_t, ntt::N>;
+using poly_t = std::span<ml_dsa_field::zq_t, ntt::N>;
 
 // Given a 32 -bytes uniform seed ρ, a k x l matrix is deterministically sampled ( using the method of rejection
 // sampling ), where each coefficient is a degree-255 polynomial ∈ R_q | q = 2^23 - 2^13 + 1
@@ -24,7 +24,7 @@ using poly_t = std::span<field::zq_t, ntt::N>;
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k, size_t l>
 static inline constexpr void
-expand_a(std::span<const uint8_t, 32> rho, std::span<field::zq_t, k * l * ntt::N> mat)
+expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l * ntt::N> mat)
 {
   std::array<uint8_t, rho.size() + 2> msg{};
   auto _msg = std::span(msg);
@@ -56,8 +56,8 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<field::zq_t, k * l * ntt::N
           const uint32_t t2 = static_cast<uint32_t>(_buf[boff + 0]);
 
           const uint32_t t3 = (t0 << 16) ^ (t1 << 8) ^ (t2 << 0);
-          if (t3 < field::Q) {
-            mat[off + n] = field::zq_t(t3);
+          if (t3 < ml_dsa_field::Q) {
+            mat[off + n] = ml_dsa_field::zq_t(t3);
             n++;
           }
         }
@@ -80,10 +80,10 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<field::zq_t, k * l * ntt::N
 // specification https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t η, size_t k, uint16_t nonce>
 static inline constexpr void
-expand_s(std::span<const uint8_t, 64> rho_prime, std::span<field::zq_t, k * ntt::N> vec)
+expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
   requires(dilithium_params::check_η(η) && dilithium_params::check_nonce(nonce))
 {
-  constexpr auto eta_ = field::zq_t(η);
+  constexpr auto eta_ = ml_dsa_field::zq_t(η);
 
   std::array<uint8_t, rho_prime.size() + 2> msg{};
   auto _msg = std::span(msg);
@@ -116,24 +116,24 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<field::zq_t, k * ntt:
           const uint32_t t2 = static_cast<uint32_t>(t0 % 5);
           const bool flg0 = t0 < 15;
 
-          vec[off + n] = eta_ - field::zq_t(t2);
+          vec[off + n] = eta_ - ml_dsa_field::zq_t(t2);
           n += flg0 * 1;
 
           const uint32_t t3 = static_cast<uint32_t>(t1 % 5);
           const bool flg1 = (t1 < 15) & (n < ntt::N);
-          const field::zq_t br[]{ vec[off], eta_ - field::zq_t(t3) };
+          const ml_dsa_field::zq_t br[]{ vec[off], eta_ - ml_dsa_field::zq_t(t3) };
 
           vec[off + flg1 * n] = br[flg1];
           n += flg1 * 1;
         } else {
           const bool flg0 = t0 < 9;
 
-          vec[off + n] = eta_ - field::zq_t(static_cast<uint32_t>(t0));
+          vec[off + n] = eta_ - ml_dsa_field::zq_t(static_cast<uint32_t>(t0));
           n += flg0 * 1;
 
           const bool flg1 = (t1 < 9) & (n < ntt::N);
-          const auto t2 = eta_ - field::zq_t(static_cast<uint32_t>(t1));
-          const field::zq_t br[]{ vec[off], t2 };
+          const auto t2 = eta_ - ml_dsa_field::zq_t(static_cast<uint32_t>(t1));
+          const ml_dsa_field::zq_t br[]{ vec[off], t2 };
 
           vec[off + flg1 * n] = br[flg1];
           n += flg1 * 1;
@@ -152,7 +152,7 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<field::zq_t, k * ntt:
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t γ1, size_t l>
 static inline constexpr void
-expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<field::zq_t, l * ntt::N> vec)
+expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<ml_dsa_field::zq_t, l * ntt::N> vec)
   requires(dilithium_params::check_γ1(γ1))
 {
   constexpr size_t gbw = std::bit_width(2 * γ1 - 1u);
@@ -190,7 +190,7 @@ expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<f
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t τ>
 static inline constexpr void
-sample_in_ball(std::span<const uint8_t, 32> seed, std::span<field::zq_t, ntt::N> poly)
+sample_in_ball(std::span<const uint8_t, 32> seed, std::span<ml_dsa_field::zq_t, ntt::N> poly)
   requires(dilithium_params::check_τ(τ))
 {
   std::array<uint8_t, 8> tau_bits{};
@@ -222,8 +222,8 @@ sample_in_ball(std::span<const uint8_t, 32> seed, std::span<field::zq_t, ntt::N>
       const auto tmp = _buf[off];
       const bool flg = tmp <= static_cast<uint8_t>(i);
 
-      const field::zq_t br0[]{ poly[i], poly[tmp] };
-      const field::zq_t br1[]{ poly[tmp], field::zq_t::one() - field::zq_t(2u * s_) };
+      const ml_dsa_field::zq_t br0[]{ poly[i], poly[tmp] };
+      const ml_dsa_field::zq_t br1[]{ poly[tmp], ml_dsa_field::zq_t::one() - ml_dsa_field::zq_t(2u * s_) };
 
       poly[i] = br0[flg];
       poly[tmp] = br1[flg];
diff --git a/include/ml_dsa/internals/utility/params.hpp b/include/ml_dsa/internals/utility/params.hpp
index a19ad0e..b41433b 100644
--- a/include/ml_dsa/internals/utility/params.hpp
+++ b/include/ml_dsa/internals/utility/params.hpp
@@ -13,7 +13,7 @@ namespace dilithium_params {
 constexpr bool
 check_sbw(const size_t sbw)
 {
-  constexpr size_t mbw = std::bit_width(field::Q - 1);
+  constexpr size_t mbw = std::bit_width(ml_dsa_field::Q - 1);
   return sbw <= mbw;
 }
 
@@ -44,7 +44,7 @@ check_γ1(const uint32_t γ1)
 constexpr bool
 check_γ2(const uint32_t γ2)
 {
-  return (γ2 == ((field::Q - 1) / 88)) || (γ2 == ((field::Q - 1) / 32));
+  return (γ2 == ((ml_dsa_field::Q - 1) / 88)) || (γ2 == ((ml_dsa_field::Q - 1) / 32));
 }
 
 // Compile-time check to ensure that τ is set to parameter recommended in
@@ -96,11 +96,11 @@ check_signing_params(const size_t k,
                      const size_t ω,
                      const size_t λ)
 {
-  return ((k == 4) && (l == 4) && (d == 13) && (η == 2) && (γ1 == (1u << 17)) && (γ2 == ((field::Q - 1) / 88)) &&
+  return ((k == 4) && (l == 4) && (d == 13) && (η == 2) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) &&
           (τ == 39) && (β == τ * η) && (ω == 80) && (λ == 128)) ||
-         ((k == 6) && (l == 5) && (d == 13) && (η == 4) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) &&
+         ((k == 6) && (l == 5) && (d == 13) && (η == 4) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
           (τ == 49) && (β == τ * η) && (ω == 55) && (λ == 192)) ||
-         ((k == 8) && (l == 7) && (d == 13) && (η == 2) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) &&
+         ((k == 8) && (l == 7) && (d == 13) && (η == 2) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
           (τ == 60) && (β == τ * η) && (ω == 75) && (λ == 256));
 }
 
@@ -118,12 +118,12 @@ check_verify_params(const size_t k,
                     const size_t ω,
                     const size_t λ)
 {
-  return ((k == 4) && (l == 4) && (d == 13) && (γ1 == (1u << 17)) && (γ2 == ((field::Q - 1) / 88)) && (τ == 39) &&
-          (β == τ * 2) && (ω == 80) && (λ == 128)) ||
-         ((k == 6) && (l == 5) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) && (τ == 49) &&
-          (β == τ * 4) && (ω == 55) && (λ == 192)) ||
-         ((k == 8) && (l == 7) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((field::Q - 1) / 32)) && (τ == 60) &&
-          (β == τ * 2) && (ω == 75) && (λ == 256));
+  return ((k == 4) && (l == 4) && (d == 13) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) &&
+          (τ == 39) && (β == τ * 2) && (ω == 80) && (λ == 128)) ||
+         ((k == 6) && (l == 5) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
+          (τ == 49) && (β == τ * 4) && (ω == 55) && (λ == 192)) ||
+         ((k == 8) && (l == 7) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
+          (τ == 60) && (β == τ * 2) && (ω == 75) && (λ == 256));
 }
 
 }
diff --git a/include/ml_dsa/internals/utility/utils.hpp b/include/ml_dsa/internals/utility/utils.hpp
index b2bddc7..9d6533b 100644
--- a/include/ml_dsa/internals/utility/utils.hpp
+++ b/include/ml_dsa/internals/utility/utils.hpp
@@ -21,7 +21,7 @@ static inline constexpr size_t
 pub_key_len()
   requires(dilithium_params::check_d(d))
 {
-  constexpr size_t t1_bw = std::bit_width(field::Q) - d;
+  constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
   constexpr size_t pklen = 32 + k * 32 * t1_bw;
   return pklen;
 }
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index b0167ef..97a18ce 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -11,20 +11,20 @@ uint8_t
 do_one_computation(uint8_t* const data)
 {
   constexpr uint32_t α = dilithium2::γ2 << 1;
-  constexpr uint32_t m = (field::Q - 1u) / α;
+  constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<field::zq_t, dilithium2::l * ntt::N> vec{};
-  std::array<field::zq_t, vec.size()> vec_high{};
-  std::array<field::zq_t, vec.size()> vec_low{};
-  std::array<field::zq_t, vec_high.size()> vec_hint{};
+  std::array<ml_dsa_field::zq_t, dilithium2::l * ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
+  std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
+  std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
   std::array<uint8_t, (vec_high.size() * w1bw) / 8> encoded{};
-  std::array<field::zq_t, vec_high.size()> decoded{};
+  std::array<ml_dsa_field::zq_t, vec_high.size()> decoded{};
   std::array<uint8_t, dilithium2::ω + dilithium2::l> encoded_hints{};
-  std::array<field::zq_t, vec.size()> decoded_hints{};
+  std::array<ml_dsa_field::zq_t, vec.size()> decoded_hints{};
 
   auto seed = std::span<const uint8_t, 2 * SEED_LEN>(data + doff0, doff1 - doff0);
   const uint16_t kappa = (static_cast<uint16_t>(data[doff1 + 1]) << 8) | (static_cast<uint16_t>(data[doff1 + 0]) << 0);
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index ee329e9..d7193fc 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -11,20 +11,20 @@ uint8_t
 do_one_computation(uint8_t* const data)
 {
   constexpr uint32_t α = dilithium3::γ2 << 1;
-  constexpr uint32_t m = (field::Q - 1u) / α;
+  constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<field::zq_t, dilithium3::l * ntt::N> vec{};
-  std::array<field::zq_t, vec.size()> vec_high{};
-  std::array<field::zq_t, vec.size()> vec_low{};
-  std::array<field::zq_t, vec_high.size()> vec_hint{};
+  std::array<ml_dsa_field::zq_t, dilithium3::l * ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
+  std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
+  std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
   std::array<uint8_t, (vec_high.size() * w1bw) / 8> encoded{};
-  std::array<field::zq_t, vec_high.size()> decoded{};
+  std::array<ml_dsa_field::zq_t, vec_high.size()> decoded{};
   std::array<uint8_t, dilithium3::ω + dilithium3::l> encoded_hints{};
-  std::array<field::zq_t, vec.size()> decoded_hints{};
+  std::array<ml_dsa_field::zq_t, vec.size()> decoded_hints{};
 
   auto seed = std::span<const uint8_t, 2 * SEED_LEN>(data + doff0, doff1 - doff0);
   const uint16_t kappa = (static_cast<uint16_t>(data[doff1 + 1]) << 8) | (static_cast<uint16_t>(data[doff1 + 0]) << 0);
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index a575592..9763c6c 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -11,20 +11,20 @@ uint8_t
 do_one_computation(uint8_t* const data)
 {
   constexpr uint32_t α = dilithium5::γ2 << 1;
-  constexpr uint32_t m = (field::Q - 1u) / α;
+  constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<field::zq_t, dilithium5::l * ntt::N> vec{};
-  std::array<field::zq_t, vec.size()> vec_high{};
-  std::array<field::zq_t, vec.size()> vec_low{};
-  std::array<field::zq_t, vec_high.size()> vec_hint{};
+  std::array<ml_dsa_field::zq_t, dilithium5::l * ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
+  std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
+  std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
   std::array<uint8_t, (vec_high.size() * w1bw) / 8> encoded{};
-  std::array<field::zq_t, vec_high.size()> decoded{};
+  std::array<ml_dsa_field::zq_t, vec_high.size()> decoded{};
   std::array<uint8_t, dilithium5::ω + dilithium5::l> encoded_hints{};
-  std::array<field::zq_t, vec.size()> decoded_hints{};
+  std::array<ml_dsa_field::zq_t, vec.size()> decoded_hints{};
 
   auto seed = std::span<const uint8_t, 2 * SEED_LEN>(data + doff0, doff1 - doff0);
   const uint16_t kappa = (static_cast<uint16_t>(data[doff1 + 1]) << 8) | (static_cast<uint16_t>(data[doff1 + 0]) << 0);
diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index 890fcdb..29ac7bd 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -15,18 +15,18 @@ test_encode_decode()
   // Encoded byte length of the polynomial
   constexpr size_t enc_len = (sbw * ntt::N) / 8;
 
-  std::vector<field::zq_t> polya(ntt::N, 0);
-  std::vector<field::zq_t> polyb(ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> polya(ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> polyb(ntt::N, 0);
   std::vector<uint8_t> arr(enc_len, 0);
 
-  auto _polya = std::span<field::zq_t, ntt::N>(polya);
-  auto _polyb = std::span<field::zq_t, ntt::N>(polyb);
+  auto _polya = std::span<ml_dsa_field::zq_t, ntt::N>(polya);
+  auto _polyb = std::span<ml_dsa_field::zq_t, ntt::N>(polyb);
   auto _arr = std::span<uint8_t, enc_len>(arr);
 
   prng::prng_t prng;
 
   for (size_t i = 0; i < ntt::N; i++) {
-    _polya[i] = field::zq_t::random(prng);
+    _polya[i] = ml_dsa_field::zq_t::random(prng);
   }
 
   bit_packing::encode<sbw>(_polya, _arr);
@@ -57,9 +57,9 @@ TEST(Dilithium, PolynomialEncodingDecoding)
 // coefficients set to 1.
 template<size_t k, size_t ω>
 void
-generate_random_hint_bits(std::span<field::zq_t, k * ntt::N> poly)
+generate_random_hint_bits(std::span<ml_dsa_field::zq_t, k * ntt::N> poly)
 {
-  std::fill(poly.begin(), poly.end(), field::zq_t::zero());
+  std::fill(poly.begin(), poly.end(), ml_dsa_field::zq_t::zero());
 
   constexpr size_t frm = 0;
   constexpr size_t to = poly.size() - 1;
@@ -70,7 +70,7 @@ generate_random_hint_bits(std::span<field::zq_t, k * ntt::N> poly)
 
   for (size_t i = 0; i < ω; i++) {
     const size_t idx = dis(gen);
-    poly[idx] = field::zq_t::one();
+    poly[idx] = ml_dsa_field::zq_t::one();
   }
 }
 
@@ -83,15 +83,15 @@ test_encode_decode_hint_bits()
   // Encoded byte length of the hint polynomial
   constexpr size_t enc_len = ω + k;
 
-  std::vector<field::zq_t> h0(k * ntt::N, 0);
-  std::vector<field::zq_t> h1(k * ntt::N, 0);
-  std::vector<field::zq_t> h2(k * ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> h0(k * ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> h1(k * ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> h2(k * ntt::N, 0);
   std::vector<uint8_t> arr0(enc_len, 0);
   std::vector<uint8_t> arr1(enc_len, 0);
 
-  auto _h0 = std::span<field::zq_t, k * ntt::N>(h0);
-  auto _h1 = std::span<field::zq_t, k * ntt::N>(h1);
-  auto _h2 = std::span<field::zq_t, k * ntt::N>(h2);
+  auto _h0 = std::span<ml_dsa_field::zq_t, k * ntt::N>(h0);
+  auto _h1 = std::span<ml_dsa_field::zq_t, k * ntt::N>(h1);
+  auto _h2 = std::span<ml_dsa_field::zq_t, k * ntt::N>(h2);
   auto _arr0 = std::span<uint8_t, enc_len>(arr0);
   auto _arr1 = std::span<uint8_t, enc_len>(arr1);
 
diff --git a/tests/test_field.cpp b/tests/test_field.cpp
index c4d9d5d..c7593d8 100644
--- a/tests/test_field.cpp
+++ b/tests/test_field.cpp
@@ -10,8 +10,8 @@ TEST(Dilithium, ArithmeticOverZq)
   prng::prng_t prng;
 
   for (size_t i = 0; i < itr_cnt; i++) {
-    const auto a = field::zq_t::random(prng);
-    const auto b = field::zq_t::random(prng);
+    const auto a = ml_dsa_field::zq_t::random(prng);
+    const auto b = ml_dsa_field::zq_t::random(prng);
 
     // Addition, Subtraction and Negation
     const auto c = a + b;
@@ -26,16 +26,16 @@ TEST(Dilithium, ArithmeticOverZq)
     const auto g = f / b;
     const auto h = f / a;
 
-    if (b != field::zq_t()) {
+    if (b != ml_dsa_field::zq_t()) {
       EXPECT_EQ(g, a);
     } else {
-      EXPECT_EQ(g, field::zq_t());
+      EXPECT_EQ(g, ml_dsa_field::zq_t());
     }
 
-    if (a != field::zq_t()) {
+    if (a != ml_dsa_field::zq_t()) {
       EXPECT_EQ(h, b);
     } else {
-      EXPECT_EQ(h, field::zq_t());
+      EXPECT_EQ(h, ml_dsa_field::zq_t());
     }
   }
 }
diff --git a/tests/test_reduction.cpp b/tests/test_reduction.cpp
index 1207f10..983740c 100644
--- a/tests/test_reduction.cpp
+++ b/tests/test_reduction.cpp
@@ -9,15 +9,15 @@ TEST(Dilithium, Power2Round)
   constexpr size_t itr_cnt = 1ul << 16;
 
   constexpr size_t d = 13;
-  constexpr field::zq_t t0(1u << d);
+  constexpr ml_dsa_field::zq_t t0(1u << d);
 
   prng::prng_t prng;
 
   for (size_t i = 0; i < itr_cnt; i++) {
-    const field::zq_t r = field::zq_t::random(prng);
+    const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
 
     const auto t1 = reduction::power2round<d>(r);
-    const field::zq_t t2 = t1.first * t0 + t1.second;
+    const ml_dsa_field::zq_t t2 = t1.first * t0 + t1.second;
 
     EXPECT_EQ(r, t2);
   }
@@ -37,13 +37,13 @@ test_decompose()
   prng::prng_t prng;
 
   for (size_t i = 0; i < rounds; i++) {
-    const field::zq_t r = field::zq_t::random(prng);
-    constexpr field::zq_t z_{ z };
+    const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
+    constexpr ml_dsa_field::zq_t z_{ z };
 
-    const field::zq_t h = reduction::make_hint<alpha>(z_, r);
-    const field::zq_t rz = reduction::use_hint<alpha>(h, r);
+    const ml_dsa_field::zq_t h = reduction::make_hint<alpha>(z_, r);
+    const ml_dsa_field::zq_t rz = reduction::use_hint<alpha>(h, r);
 
-    const field::zq_t rz_ = reduction::highbits<alpha>(r + z_);
+    const ml_dsa_field::zq_t rz_ = reduction::highbits<alpha>(r + z_);
 
     EXPECT_EQ(rz, rz_);
   }
@@ -51,8 +51,8 @@ test_decompose()
 
 TEST(Dilithium, MakingAndUsingOfHintBits)
 {
-  test_decompose<((field::Q - 1u) / 88u) << 1, 77u>();
-  test_decompose<((field::Q - 1u) / 88u) << 1, 1321u>();
-  test_decompose<((field::Q - 1u) / 32u) << 1, 997u>();
-  test_decompose<((field::Q - 1u) / 32u) << 1, 1981u>();
+  test_decompose<((ml_dsa_field::Q - 1u) / 88u) << 1, 77u>();
+  test_decompose<((ml_dsa_field::Q - 1u) / 88u) << 1, 1321u>();
+  test_decompose<((ml_dsa_field::Q - 1u) / 32u) << 1, 997u>();
+  test_decompose<((ml_dsa_field::Q - 1u) / 32u) << 1, 1981u>();
 }
diff --git a/tests/test_sampling.cpp b/tests/test_sampling.cpp
index e89d957..bbabddf 100644
--- a/tests/test_sampling.cpp
+++ b/tests/test_sampling.cpp
@@ -9,23 +9,23 @@ static void
 test_sample_in_ball()
 {
   std::array<uint8_t, 32> seed{};
-  std::vector<field::zq_t> poly(ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> poly(ntt::N, 0);
 
   auto _seed = std::span(seed);
-  auto _poly = std::span<field::zq_t, ntt::N>(poly);
+  auto _poly = std::span<ml_dsa_field::zq_t, ntt::N>(poly);
 
   prng::prng_t prng;
 
   prng.read(_seed);
   sampling::sample_in_ball<τ>(_seed, _poly);
 
-  auto sqrd_norm = field::zq_t::zero();
+  auto sqrd_norm = ml_dsa_field::zq_t::zero();
 
   for (size_t i = 0; i < _poly.size(); i++) {
     sqrd_norm += (_poly[i] * _poly[i]);
   }
 
-  EXPECT_EQ(sqrd_norm, field::zq_t(τ));
+  EXPECT_EQ(sqrd_norm, ml_dsa_field::zq_t(τ));
 }
 
 TEST(Dilithium, HashingToABall)

From 6c35a6b567bc44506abac47514f78d2917ad902e Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 14 Jul 2024 21:49:43 +0400
Subject: [PATCH 09/37] Refactor functions involving operations on high/ low
 order bits, making/ using of hints etc.

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/math/reduction.hpp | 71 ++++++++-------------
 include/ml_dsa/internals/poly/poly.hpp      | 10 +--
 tests/test_reduction.cpp                    |  8 +--
 3 files changed, 34 insertions(+), 55 deletions(-)

diff --git a/include/ml_dsa/internals/math/reduction.hpp b/include/ml_dsa/internals/math/reduction.hpp
index 87e8842..e38c66f 100644
--- a/include/ml_dsa/internals/math/reduction.hpp
+++ b/include/ml_dsa/internals/math/reduction.hpp
@@ -1,28 +1,22 @@
 #pragma once
 #include "field.hpp"
-#include "ml_dsa/internals/utility/params.hpp"
 #include <utility>
 
-// Utility functions used for extracting out high/ low order bits and making/
-// using hint bits
-namespace reduction {
+// Auxiliary functions used for extracting out high/ low order bits and making/ using hint bits.
+namespace ml_dsa_reduction {
 
-// Given an element of Z_q | q = 2^23 - 2^13 + 1, this routine extracts out high
-// and low order bits s.t.
+// Given an element of Z_q, this routine extracts out high and low order bits s.t.
 //
-// r mod^+ q = hi * 2^D + lo | -2^{D-1} < lo <= 2^{D-1}
+// `r = hi * 2^D + lo (mod q)`
 //
-// so that public key can be compressed.
-//
-// See definition of this routine in figure 3 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// This routine is used for compressing public key.
 //
+// See algorithm 29 of ML-DSA specification https://doi.org/10.6028/NIST.FIPS.204.ipd.
 // This implementation collects some ideas from
-// https://github.com/pq-crystals/dilithium/blob/3e9b9f1/ref/rounding.c#L5-L23
+// https://github.com/pq-crystals/dilithium/blob/3e9b9f1/ref/rounding.c#L5-L23.
 template<size_t d>
 static inline constexpr std::pair<ml_dsa_field::zq_t, ml_dsa_field::zq_t>
 power2round(const ml_dsa_field::zq_t r)
-  requires(dilithium_params::check_d(d))
 {
   constexpr uint32_t max = 1u << (d - 1);
 
@@ -36,19 +30,16 @@ power2round(const ml_dsa_field::zq_t r)
   return std::make_pair(hi, lo);
 }
 
-// Given an element of Z_q | q = 2^23 - 2^13 + 1, this routine computes high and
-// low order bits s.t.
+// Given an element of Z_q, this routine computes high and low order bits s.t.
 //
-// r mod^+ q = r1 * α + r0 | -α/2 < r0 <= α/2
+// `r mod^+ q = r1 * α + r0 | -α/2 < r0 <= α/2`
 //
 // If r1 = (q - 1)/ α then r1 = 0; r0 = r0 - 1
 //
-// See definition of this routine in figure 3 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 30 of ML-DSA specification https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t alpha>
 static inline constexpr std::pair<ml_dsa_field::zq_t, ml_dsa_field::zq_t>
 decompose(const ml_dsa_field::zq_t r)
-  requires(dilithium_params::check_γ2(alpha / 2))
 {
   constexpr uint32_t t0 = alpha >> 1;
   constexpr uint32_t t1 = ml_dsa_field::Q - 1u;
@@ -69,11 +60,8 @@ decompose(const ml_dsa_field::zq_t r)
   return std::make_pair(r1, r0_);
 }
 
-// Given an element ∈ Z_q, this routine uses decompose routine ( defined above )
-// to extract out high order bits of r.
-//
-// See definition of this routine in figure 3 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// Given an element ∈ Z_q, this routine extracts out high order bits of r.
+// See algorithm 31 of ML-DSA specification https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t alpha>
 static inline constexpr ml_dsa_field::zq_t
 highbits(const ml_dsa_field::zq_t r)
@@ -82,11 +70,8 @@ highbits(const ml_dsa_field::zq_t r)
   return s.first;
 }
 
-// Given an element ∈ Z_q, this routine uses decompose routine ( defined above )
-// to extract out low order bits of r.
-//
-// See definition of this routine in figure 3 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// Given an element ∈ Z_q, this routine extracts out low order bits of r.
+// See algorithm 32 of ML-DSA specification https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t alpha>
 static inline constexpr ml_dsa_field::zq_t
 lowbits(const ml_dsa_field::zq_t r)
@@ -95,14 +80,11 @@ lowbits(const ml_dsa_field::zq_t r)
   return s.second;
 }
 
-// This algorithm takes r, z ∈ Z_q, producing a 1 -bit hint h such that
-// it allows one to compute the higher order bits of r + z just using r and h.
+// This algorithm takes `r`, `z` ∈ Z_q, producing a 1 -bit hint `h` such that it allows one to compute the higher order
+// bits of `r + z` just using `r` and `h`.
 //
-// This hint is essentially the “carry” caused by z in the addition.
-// Note, z is small.
-//
-// See definition of this routine in figure 3 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// This hint is essentially the “carry” caused by `z` in the addition. Note, `z` is small.
+// See algorithm 33 of ML-DSA specification https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t alpha>
 static inline constexpr ml_dsa_field::zq_t
 make_hint(const ml_dsa_field::zq_t z, const ml_dsa_field::zq_t r)
@@ -113,11 +95,8 @@ make_hint(const ml_dsa_field::zq_t z, const ml_dsa_field::zq_t r)
   return ml_dsa_field::zq_t{ static_cast<uint32_t>(r1 != v1) };
 }
 
-// 1 -bit hint ( read h ) is used to recover higher order bits of r + z s.t.
-// hint bit was computed using make_hint routine ( defined above ).
-//
-// See definition of this routine in figure 3 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// 1 -bit hint ( read `h` ) is used to recover higher order bits of `r + z`.
+// See algorithm 34 of ML-DSA algorithm https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t alpha>
 static inline constexpr ml_dsa_field::zq_t
 use_hint(const ml_dsa_field::zq_t h, const ml_dsa_field::zq_t r)
@@ -125,18 +104,18 @@ use_hint(const ml_dsa_field::zq_t h, const ml_dsa_field::zq_t r)
   constexpr uint32_t m = (ml_dsa_field::Q - 1) / alpha;
   constexpr ml_dsa_field::zq_t t0{ alpha >> 1 };
   constexpr ml_dsa_field::zq_t t1 = ml_dsa_field::zq_t{ ml_dsa_field::Q } - t0;
-  constexpr ml_dsa_field::zq_t t2{ 1u };
+  constexpr auto one = ml_dsa_field::zq_t::one();
 
   const auto s = decompose<alpha>(r);
 
-  if ((h == t2) && ((s.second > ml_dsa_field::zq_t::zero()) && (s.second < t1))) {
+  if ((h == one) && ((s.second > ml_dsa_field::zq_t::zero()) && (s.second < t1))) {
     const bool flg = s.first == ml_dsa_field::zq_t{ m - 1u };
-    const ml_dsa_field::zq_t br[]{ s.first + t2, ml_dsa_field::zq_t{ 0u } };
+    const ml_dsa_field::zq_t br[]{ s.first + one, ml_dsa_field::zq_t{ 0u } };
 
     return br[flg];
-  } else if ((h == t2) && (s.second >= t1)) {
+  } else if ((h == one) && (s.second >= t1)) {
     const bool flg = s.first == ml_dsa_field::zq_t{ 0u };
-    const ml_dsa_field::zq_t br[]{ s.first - t2, ml_dsa_field::zq_t{ m - 1 } };
+    const ml_dsa_field::zq_t br[]{ s.first - one, ml_dsa_field::zq_t{ m - 1 } };
 
     return br[flg];
   } else {
diff --git a/include/ml_dsa/internals/poly/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
index ed6377e..9d5b437 100644
--- a/include/ml_dsa/internals/poly/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -19,7 +19,7 @@ power2round(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
   requires(dilithium_params::check_d(d))
 {
   for (size_t i = 0; i < poly.size(); i++) {
-    const auto ext = reduction::power2round<d>(poly[i]);
+    const auto ext = ml_dsa_reduction::power2round<d>(poly[i]);
 
     poly_hi[i] = ext.first;
     poly_lo[i] = ext.second;
@@ -58,7 +58,7 @@ static inline constexpr void
 highbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field::zq_t, ntt::N> dst)
 {
   for (size_t i = 0; i < src.size(); i++) {
-    dst[i] = reduction::highbits<alpha>(src[i]);
+    dst[i] = ml_dsa_reduction::highbits<alpha>(src[i]);
   }
 }
 
@@ -69,7 +69,7 @@ static inline constexpr void
 lowbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field::zq_t, ntt::N> dst)
 {
   for (size_t i = 0; i < src.size(); i++) {
-    dst[i] = reduction::lowbits<alpha>(src[i]);
+    dst[i] = ml_dsa_reduction::lowbits<alpha>(src[i]);
   }
 }
 
@@ -102,7 +102,7 @@ make_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
           std::span<ml_dsa_field::zq_t, ntt::N> polyc)
 {
   for (size_t i = 0; i < polya.size(); i++) {
-    polyc[i] = reduction::make_hint<alpha>(polya[i], polyb[i]);
+    polyc[i] = ml_dsa_reduction::make_hint<alpha>(polya[i], polyb[i]);
   }
 }
 
@@ -117,7 +117,7 @@ use_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polyh,
          std::span<ml_dsa_field::zq_t, ntt::N> polyrz)
 {
   for (size_t i = 0; i < polyh.size(); i++) {
-    polyrz[i] = reduction::use_hint<alpha>(polyh[i], polyr[i]);
+    polyrz[i] = ml_dsa_reduction::use_hint<alpha>(polyh[i], polyr[i]);
   }
 }
 
diff --git a/tests/test_reduction.cpp b/tests/test_reduction.cpp
index 983740c..88b195a 100644
--- a/tests/test_reduction.cpp
+++ b/tests/test_reduction.cpp
@@ -16,7 +16,7 @@ TEST(Dilithium, Power2Round)
   for (size_t i = 0; i < itr_cnt; i++) {
     const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
 
-    const auto t1 = reduction::power2round<d>(r);
+    const auto t1 = ml_dsa_reduction::power2round<d>(r);
     const ml_dsa_field::zq_t t2 = t1.first * t0 + t1.second;
 
     EXPECT_EQ(r, t2);
@@ -40,10 +40,10 @@ test_decompose()
     const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
     constexpr ml_dsa_field::zq_t z_{ z };
 
-    const ml_dsa_field::zq_t h = reduction::make_hint<alpha>(z_, r);
-    const ml_dsa_field::zq_t rz = reduction::use_hint<alpha>(h, r);
+    const ml_dsa_field::zq_t h = ml_dsa_reduction::make_hint<alpha>(z_, r);
+    const ml_dsa_field::zq_t rz = ml_dsa_reduction::use_hint<alpha>(h, r);
 
-    const ml_dsa_field::zq_t rz_ = reduction::highbits<alpha>(r + z_);
+    const ml_dsa_field::zq_t rz_ = ml_dsa_reduction::highbits<alpha>(r + z_);
 
     EXPECT_EQ(rz, rz_);
   }

From 63ea8fc05d11ebf8c3dc2fe383e1db64a6dd2454 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 14 Jul 2024 21:53:00 +0400
Subject: [PATCH 10/37] Update command to find all ML-DSA source files

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 Makefile | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Makefile b/Makefile
index b7a1568..44d89c1 100644
--- a/Makefile
+++ b/Makefile
@@ -13,7 +13,7 @@ DEP_IFLAGS = -I $(SHA3_INC_DIR)
 DUDECT_DEP_IFLAGS = $(DEP_IFLAGS) -I $(DUDECT_INC_DIR)
 
 SRC_DIR = include
-DILITHIUM_SOURCES := $(wildcard $(SRC_DIR)/*.hpp)
+ML_DSA_SOURCES := $(shell find $(SRC_DIR) -name '*.hpp')
 BUILD_DIR = build
 ASAN_BUILD_DIR = $(BUILD_DIR)/asan
 UBSAN_BUILD_DIR = $(BUILD_DIR)/ubsan
@@ -119,5 +119,5 @@ perf: $(PERF_BINARY)
 clean:
 	rm -rf $(BUILD_DIR)
 
-format: $(DILITHIUM_SOURCES) $(TEST_SOURCES) $(DUDECT_TEST_SOURCES) $(BENCHMARK_SOURCES) $(BENCHMARK_HEADERS)
+format: $(ML_DSA_SOURCES) $(TEST_SOURCES) $(DUDECT_TEST_SOURCES) $(BENCHMARK_SOURCES) $(BENCHMARK_HEADERS)
 	clang-format -i $^

From 3a0a2ee055b6d2660a7b3a8b9d3f711b4888a69b Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Tue, 16 Jul 2024 18:13:41 +0400
Subject: [PATCH 11/37] Make compile-time *must* evaluable constants `static
 constexpr`

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/math/field.hpp | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/include/ml_dsa/internals/math/field.hpp b/include/ml_dsa/internals/math/field.hpp
index e2f39ea..bcb6275 100644
--- a/include/ml_dsa/internals/math/field.hpp
+++ b/include/ml_dsa/internals/math/field.hpp
@@ -8,10 +8,10 @@
 namespace ml_dsa_field {
 
 // ML-DSA Prime Field Modulus
-constexpr uint32_t Q = (1u << 23) - (1u << 13) + 1u;
+static constexpr uint32_t Q = (1u << 23) - (1u << 13) + 1u;
 
-// Bit width of Kyber Prime Field Modulus ( = 12 )
-constexpr size_t RADIX_BIT_WIDTH = std::bit_width(Q);
+// Bit width of ML-DSA Prime Field Modulus ( = 23 )
+static constexpr size_t Q_BIT_WIDTH = std::bit_width(Q);
 
 // Precomputed Barrett Reduction Constant
 //
@@ -21,7 +21,7 @@ constexpr size_t RADIX_BIT_WIDTH = std::bit_width(Q);
 // r = floor((1 << 2k) / Q) = 8396807
 //
 // See https://www.nayuki.io/page/barrett-reduction-algorithm for more.
-constexpr uint32_t R = (1ul << (2 * RADIX_BIT_WIDTH)) / Q;
+static constexpr uint32_t R = (1ul << (2 * Q_BIT_WIDTH)) / Q;
 
 // ML-DSA Prime Field element e ∈ [0, Q), with arithmetic operations defined & implemented over it.
 struct zq_t

From 38525ba115a670b2e705651a89eb93bc1a8869e1 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Tue, 16 Jul 2024 18:20:11 +0400
Subject: [PATCH 12/37] Refactor header unit holding compile-time evaluable
 parameter validator functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/dilithium.hpp        |  6 +-
 include/ml_dsa/internals/poly/bit_packing.hpp |  4 +-
 include/ml_dsa/internals/poly/poly.hpp        |  2 +-
 include/ml_dsa/internals/poly/polyvec.hpp     |  4 +-
 include/ml_dsa/internals/poly/sampling.hpp    |  6 +-
 include/ml_dsa/internals/utility/params.hpp   | 87 +++++++++----------
 include/ml_dsa/internals/utility/utils.hpp    |  4 +-
 tests/test_bit_packing.cpp                    |  2 +-
 8 files changed, 53 insertions(+), 62 deletions(-)

diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index 5feb729..11311c7 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -27,7 +27,7 @@ static inline void
 keygen(std::span<const uint8_t, 32> seed,
        std::span<uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
        std::span<uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> seckey)
-  requires(dilithium_params::check_keygen_params(k, l, d, η))
+  requires(ml_dsa_params::check_keygen_params(k, l, d, η))
 {
   std::array<uint8_t, 32 + 64 + 32> seed_hash{};
   auto _seed_hash = std::span(seed_hash);
@@ -140,7 +140,7 @@ sign(std::span<const uint8_t, 32> rnd,
      std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> seckey,
      std::span<const uint8_t> msg,
      std::span<uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
-  requires(dilithium_params::check_signing_params(k, l, d, η, γ1, γ2, τ, β, ω, λ))
+  requires(ml_dsa_params::check_signing_params(k, l, d, η, γ1, γ2, τ, β, ω, λ))
 {
   constexpr uint32_t t0_rng = 1u << (d - 1);
 
@@ -314,7 +314,7 @@ static inline bool
 verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
        std::span<const uint8_t> msg,
        std::span<const uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
-  requires(dilithium_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
+  requires(ml_dsa_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
 {
   constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
 
diff --git a/include/ml_dsa/internals/poly/bit_packing.hpp b/include/ml_dsa/internals/poly/bit_packing.hpp
index 7161064..bc48437 100644
--- a/include/ml_dsa/internals/poly/bit_packing.hpp
+++ b/include/ml_dsa/internals/poly/bit_packing.hpp
@@ -18,7 +18,7 @@ namespace bit_packing {
 template<size_t sbw>
 static inline constexpr void
 encode(std::span<const ml_dsa_field::zq_t, ntt::N> poly, std::span<uint8_t, ntt::N * sbw / 8> arr)
-  requires(dilithium_params::check_sbw(sbw))
+  requires(ml_dsa_params::check_sbw(sbw))
 {
   std::memset(arr.data(), 0, arr.size());
 
@@ -187,7 +187,7 @@ encode(std::span<const ml_dsa_field::zq_t, ntt::N> poly, std::span<uint8_t, ntt:
 template<size_t sbw>
 static inline constexpr void
 decode(std::span<const uint8_t, ntt::N * sbw / 8> arr, std::span<ml_dsa_field::zq_t, ntt::N> poly)
-  requires(dilithium_params::check_sbw(sbw))
+  requires(ml_dsa_params::check_sbw(sbw))
 {
   // Instead of std::memset use following loop to avoid compiler warnings.
   for (size_t i = 0; i < poly.size(); i++) {
diff --git a/include/ml_dsa/internals/poly/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
index 9d5b437..9980436 100644
--- a/include/ml_dsa/internals/poly/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -16,7 +16,7 @@ static inline constexpr void
 power2round(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
             std::span<ml_dsa_field::zq_t, ntt::N> poly_hi,
             std::span<ml_dsa_field::zq_t, ntt::N> poly_lo)
-  requires(dilithium_params::check_d(d))
+  requires(ml_dsa_params::check_d(d))
 {
   for (size_t i = 0; i < poly.size(); i++) {
     const auto ext = ml_dsa_reduction::power2round<d>(poly[i]);
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index 5937b69..78cc822 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -42,7 +42,7 @@ static inline constexpr void
 power2round(std::span<const ml_dsa_field::zq_t, k * ntt::N> poly,
             std::span<ml_dsa_field::zq_t, k * ntt::N> poly_hi,
             std::span<ml_dsa_field::zq_t, k * ntt::N> poly_lo)
-  requires(dilithium_params::check_d(d))
+  requires(ml_dsa_params::check_d(d))
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ntt::N;
@@ -60,7 +60,7 @@ static inline constexpr void
 matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ntt::N> a,
                 std::span<const ml_dsa_field::zq_t, b_rows * b_cols * ntt::N> b,
                 std::span<ml_dsa_field::zq_t, a_rows * b_cols * ntt::N> c)
-  requires(dilithium_params::check_matrix_dim(a_cols, b_rows))
+  requires(ml_dsa_params::check_matrix_dim(a_cols, b_rows))
 {
   std::array<ml_dsa_field::zq_t, ntt::N> tmp{};
   auto _tmp = std::span(tmp);
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index 28e5e13..75fed20 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -81,7 +81,7 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l *
 template<uint32_t η, size_t k, uint16_t nonce>
 static inline constexpr void
 expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
-  requires(dilithium_params::check_η(η) && dilithium_params::check_nonce(nonce))
+  requires(ml_dsa_params::check_η(η) && ml_dsa_params::check_nonce(nonce))
 {
   constexpr auto eta_ = ml_dsa_field::zq_t(η);
 
@@ -153,7 +153,7 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
 template<uint32_t γ1, size_t l>
 static inline constexpr void
 expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<ml_dsa_field::zq_t, l * ntt::N> vec)
-  requires(dilithium_params::check_γ1(γ1))
+  requires(ml_dsa_params::check_γ1(γ1))
 {
   constexpr size_t gbw = std::bit_width(2 * γ1 - 1u);
 
@@ -191,7 +191,7 @@ expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<m
 template<uint32_t τ>
 static inline constexpr void
 sample_in_ball(std::span<const uint8_t, 32> seed, std::span<ml_dsa_field::zq_t, ntt::N> poly)
-  requires(dilithium_params::check_τ(τ))
+  requires(ml_dsa_params::check_τ(τ))
 {
   std::array<uint8_t, 8> tau_bits{};
   std::array<uint8_t, shake256::RATE / 8> buf{};
diff --git a/include/ml_dsa/internals/utility/params.hpp b/include/ml_dsa/internals/utility/params.hpp
index b41433b..8a085d9 100644
--- a/include/ml_dsa/internals/utility/params.hpp
+++ b/include/ml_dsa/internals/utility/params.hpp
@@ -1,90 +1,82 @@
 #pragma once
 #include "ml_dsa/internals/math/field.hpp"
-#include <bit>
 #include <cstddef>
 #include <cstdint>
 
-// Compile-time executable functions, ensuring that Dilithium DSA routines
-// are always invoked with proper arguments.
-namespace dilithium_params {
+// Compile-time executable functions, ensuring that ML-DSA routines are always invoked with proper arguments.
+namespace ml_dsa_params {
 
-// Compile-time check to ensure that significant bit width of Z_q element
-// doesn't cross maximum bit width of field prime q ( = 2^23 - 2^13 + 1 )
-constexpr bool
+// Compile-time check to ensure that *s*ignificant *b*it *w*idth (sbw) of Z_q element doesn't cross maximum bit width of
+// field prime q ( = 2^23 - 2^13 + 1 ).
+consteval bool
 check_sbw(const size_t sbw)
 {
-  constexpr size_t mbw = std::bit_width(ml_dsa_field::Q - 1);
-  return sbw <= mbw;
+  return sbw <= ml_dsa_field::Q_BIT_WIDTH;
 }
 
-// Compile-time check to ensure that η ∈ {2, 4}, so that sampled secret key
-// range stays short i.e. [-η, η]
-constexpr bool
+// Compile-time check to ensure that η ∈ {2, 4}, so that sampled secret key range stays short i.e. [-η, η].
+consteval bool
 check_η(const uint32_t η)
 {
   return (η == 2u) || (η == 4u);
 }
 
-// Compile-time check to ensure that starting nonce belongs to allowed set of
-// values when uniform sampling polynomial coefficients in [-η, η]
-constexpr bool
+// Compile-time check to ensure that starting nonce belongs to allowed set of values when uniform sampling polynomial
+// coefficients in [-η, η].
+consteval bool
 check_nonce(const size_t nonce)
 {
   return (nonce == 0) || (nonce == 4) || (nonce == 5) || (nonce == 7);
 }
 
-// Compile-time check to ensure that γ1 has recommended value
-constexpr bool
+// Compile-time check to ensure that γ1 has recommended value.
+consteval bool
 check_γ1(const uint32_t γ1)
 {
   return (γ1 == (1u << 17)) || (γ1 == (1u << 19));
 }
 
-// Compile-time check to ensure that γ2 has recommended value
-constexpr bool
+// Compile-time check to ensure that γ2 has recommended value.
+consteval bool
 check_γ2(const uint32_t γ2)
 {
   return (γ2 == ((ml_dsa_field::Q - 1) / 88)) || (γ2 == ((ml_dsa_field::Q - 1) / 32));
 }
 
-// Compile-time check to ensure that τ is set to parameter recommended in
-// Dilithium specification
-constexpr bool
+// Compile-time check to ensure that τ is set to parameter recommended in ML-DSA specification.
+consteval bool
 check_τ(const uint32_t τ)
 {
   return (τ == 39) || (τ == 49) || (τ == 60);
 }
 
-// Compile-time check to ensure that number of bits to be dropped from a
-// polynomial coefficient is supplied correctly.
-constexpr bool
+// Compile-time check to ensure that number of bits to be dropped from a polynomial coefficient is supplied correctly.
+consteval bool
 check_d(const size_t d)
 {
   return d == 13;
 }
 
-// Compile-time check to ensure that operand matrices are having compatible
-// dimension for matrix multiplication
-constexpr bool
+// Compile-time check to ensure that operand matrices are having compatible dimension for matrix multiplication.
+consteval bool
 check_matrix_dim(const size_t a_cols, const size_t b_rows)
 {
   return !static_cast<bool>(a_cols ^ b_rows);
 }
 
-// Compile-time executable constraints for ensuring that Dilithium key
-// generation algorithm is only invoked with arguments suggested in table 2 of
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
-constexpr bool
+// Compile-time executable constraints for ensuring that ML-DSA key generation algorithm is only invoked with arguments
+// suggested in table 1 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
+consteval bool
 check_keygen_params(const size_t k, const size_t l, const size_t d, const uint32_t η)
 {
-  return ((k == 4) && (l == 4) && (d == 13) && (η == 2)) || ((k == 6) && (l == 5) && (d == 13) && (η == 4)) ||
-         ((k == 8) && (l == 7) && (d == 13) && (η == 2));
+  return ((k == 4) && (l == 4) && (d == 13) && (η == 2)) || // ML-DSA-44
+         ((k == 6) && (l == 5) && (d == 13) && (η == 4)) || // ML-DSA-65
+         ((k == 8) && (l == 7) && (d == 13) && (η == 2));   // ML-DSA-87
 }
 
-// Compile-time executable constraints for ensuring that Dilithium signing
-// algorithm is only invoked with arguments suggested in table 2 of
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
-constexpr bool
+// Compile-time executable constraints for ensuring that ML-DSA signing algorithm is only invoked with arguments
+// suggested in table 1 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
+consteval bool
 check_signing_params(const size_t k,
                      const size_t l,
                      const size_t d,
@@ -97,17 +89,16 @@ check_signing_params(const size_t k,
                      const size_t λ)
 {
   return ((k == 4) && (l == 4) && (d == 13) && (η == 2) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) &&
-          (τ == 39) && (β == τ * η) && (ω == 80) && (λ == 128)) ||
+          (τ == 39) && (β == τ * η) && (ω == 80) && (λ == 128)) || // ML-DSA-44
          ((k == 6) && (l == 5) && (d == 13) && (η == 4) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 49) && (β == τ * η) && (ω == 55) && (λ == 192)) ||
+          (τ == 49) && (β == τ * η) && (ω == 55) && (λ == 192)) || // ML-DSA-65
          ((k == 8) && (l == 7) && (d == 13) && (η == 2) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 60) && (β == τ * η) && (ω == 75) && (λ == 256));
+          (τ == 60) && (β == τ * η) && (ω == 75) && (λ == 256)); // ML-DSA-87
 }
 
-// Compile-time executable constraints for ensuring that Dilithium verification
-// algorithm is only invoked with arguments suggested in table 2 of
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
-constexpr bool
+// Compile-time executable constraints for ensuring that ML-DSA verification algorithm is only invoked with arguments
+// suggested in table 1 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
+consteval bool
 check_verify_params(const size_t k,
                     const size_t l,
                     const size_t d,
@@ -119,11 +110,11 @@ check_verify_params(const size_t k,
                     const size_t λ)
 {
   return ((k == 4) && (l == 4) && (d == 13) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) &&
-          (τ == 39) && (β == τ * 2) && (ω == 80) && (λ == 128)) ||
+          (τ == 39) && (β == τ * 2) && (ω == 80) && (λ == 128)) || // ML-DSA-44
          ((k == 6) && (l == 5) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 49) && (β == τ * 4) && (ω == 55) && (λ == 192)) ||
+          (τ == 49) && (β == τ * 4) && (ω == 55) && (λ == 192)) || // ML-DSA-65
          ((k == 8) && (l == 7) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 60) && (β == τ * 2) && (ω == 75) && (λ == 256));
+          (τ == 60) && (β == τ * 2) && (ω == 75) && (λ == 256)); // ML-DSA-87
 }
 
 }
diff --git a/include/ml_dsa/internals/utility/utils.hpp b/include/ml_dsa/internals/utility/utils.hpp
index 9d6533b..d0cf5f8 100644
--- a/include/ml_dsa/internals/utility/utils.hpp
+++ b/include/ml_dsa/internals/utility/utils.hpp
@@ -19,7 +19,7 @@ namespace dilithium_utils {
 template<size_t k, size_t d>
 static inline constexpr size_t
 pub_key_len()
-  requires(dilithium_params::check_d(d))
+  requires(ml_dsa_params::check_d(d))
 {
   constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
   constexpr size_t pklen = 32 + k * 32 * t1_bw;
@@ -34,7 +34,7 @@ pub_key_len()
 template<size_t k, size_t l, uint32_t η, size_t d>
 static inline constexpr size_t
 sec_key_len()
-  requires(dilithium_params::check_d(d))
+  requires(ml_dsa_params::check_d(d))
 {
   constexpr size_t eta_bw = std::bit_width(2 * η);
   constexpr size_t sklen = 32 + 32 + 64 + 32 * (eta_bw * (k + l) + k * d);
diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index 29ac7bd..5aca693 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -10,7 +10,7 @@
 template<size_t sbw>
 void
 test_encode_decode()
-  requires(dilithium_params::check_sbw(sbw))
+  requires(ml_dsa_params::check_sbw(sbw))
 {
   // Encoded byte length of the polynomial
   constexpr size_t enc_len = (sbw * ntt::N) / 8;

From 9f26338f49554c48c155a2488460d28dd49ce9c3 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Tue, 16 Jul 2024 18:28:53 +0400
Subject: [PATCH 13/37] Refactor the example program, ensuring it works with
 recent API changes

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 examples/dilithium2.cpp | 41 ++++++++++++++++++++++++++---------------
 1 file changed, 26 insertions(+), 15 deletions(-)

diff --git a/examples/dilithium2.cpp b/examples/dilithium2.cpp
index 763f1d6..63a8589 100644
--- a/examples/dilithium2.cpp
+++ b/examples/dilithium2.cpp
@@ -1,9 +1,24 @@
-#include "dilithium2.hpp"
-#include "prng.hpp"
+#include "ml_dsa/dilithium2.hpp"
+#include "ml_dsa/internals/rng/prng.hpp"
 #include <cassert>
 #include <iostream>
 #include <vector>
 
+// Given a bytearray of length N, this function converts it to human readable
+// hex string of length N << 1 | N >= 0
+static inline const std::string
+to_hex(std::span<const uint8_t> bytes)
+{
+  std::stringstream ss;
+  ss << std::hex;
+
+  for (size_t i = 0; i < bytes.size(); i++) {
+    ss << std::setw(2) << std::setfill('0') << static_cast<uint32_t>(bytes[i]);
+  }
+
+  return ss.str();
+}
+
 // Compile it with
 //
 // g++ -std=c++20 -O3 -march=native -I ./include -I ./sha3/include examples/dilithium2.cpp
@@ -14,12 +29,14 @@ main()
   constexpr size_t mlen = 32; // message length ( can be anything >= 1 )
 
   std::vector<uint8_t> seed(slen);
+  std::vector<uint8_t> rnd(slen);
   std::vector<uint8_t> msg(mlen);
   std::vector<uint8_t> pubkey(dilithium2::PubKeyLen);
   std::vector<uint8_t> seckey(dilithium2::SecKeyLen);
   std::vector<uint8_t> sig(dilithium2::SigLen);
 
   auto _seed = std::span<uint8_t, slen>(seed);
+  auto _rnd = std::span<uint8_t, slen>(rnd);
   auto _msg = std::span(msg);
   auto _pubkey = std::span<uint8_t, dilithium2::PubKeyLen>(pubkey);
   auto _seckey = std::span<uint8_t, dilithium2::SecKeyLen>(seckey);
@@ -31,23 +48,17 @@ main()
   prng.read(_seed);
   prng.read(_msg);
 
-  bool flg = false;
-
   // Key generation -> signing -> verification
   dilithium2::keygen(_seed, _pubkey, _seckey);
-  dilithium2::sign(_seckey, _msg, _sig, {});
-
-  // Default option is deterministic signing, for randomized signing, use
-  // dilithium2::sign<true>(_seckey, _msg, _sig, std::array<uint8_t, 64>{});
-
-  flg = dilithium2::verify(_pubkey, _msg, _sig);
+  dilithium2::sign(_rnd, _seckey, _msg, _sig);
+  const bool flg = dilithium2::verify(_pubkey, _msg, _sig);
 
   std::cout << "Dilithium @ NIST security level 2\n";
-  std::cout << "seed      : " << dilithium_utils::to_hex(_seed) << "\n";
-  std::cout << "pubkey    : " << dilithium_utils::to_hex(_pubkey) << "\n";
-  std::cout << "seckey    : " << dilithium_utils::to_hex(_seckey) << "\n";
-  std::cout << "message   : " << dilithium_utils::to_hex(_msg) << "\n";
-  std::cout << "signature : " << dilithium_utils::to_hex(_sig) << "\n";
+  std::cout << "seed      : " << to_hex(_seed) << "\n";
+  std::cout << "pubkey    : " << to_hex(_pubkey) << "\n";
+  std::cout << "seckey    : " << to_hex(_seckey) << "\n";
+  std::cout << "message   : " << to_hex(_msg) << "\n";
+  std::cout << "signature : " << to_hex(_sig) << "\n";
   std::cout << "verified   : " << std::boolalpha << flg << "\n";
 
   // check that signature verification passed !

From 07ed211544268f41a80a1d52e3f4369fd54b1e42 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Tue, 16 Jul 2024 18:40:51 +0400
Subject: [PATCH 14/37] Clean up header unit implementing utility functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/dilithium2.hpp              |  6 +-
 include/ml_dsa/dilithium3.hpp              |  6 +-
 include/ml_dsa/dilithium5.hpp              |  6 +-
 include/ml_dsa/internals/dilithium.hpp     | 12 +--
 include/ml_dsa/internals/utility/utils.hpp | 93 +++++-----------------
 tests/test_signing_kat.cpp                 | 60 +++++++++-----
 6 files changed, 74 insertions(+), 109 deletions(-)

diff --git a/include/ml_dsa/dilithium2.hpp b/include/ml_dsa/dilithium2.hpp
index 54a44d8..f433c14 100644
--- a/include/ml_dsa/dilithium2.hpp
+++ b/include/ml_dsa/dilithium2.hpp
@@ -19,13 +19,13 @@ constexpr size_t ω = 80;
 constexpr size_t λ = 128;
 
 // = 1312 -bytes Dilithium2 public key
-constexpr size_t PubKeyLen = dilithium_utils::pub_key_len<k, d>();
+constexpr size_t PubKeyLen = ml_dsa_utils::pub_key_len(k, d);
 
 // = 2560 -bytes Dilithium2 secret key
-constexpr size_t SecKeyLen = dilithium_utils::sec_key_len<k, l, η, d>();
+constexpr size_t SecKeyLen = ml_dsa_utils::sec_key_len(k, l, η, d);
 
 // = 2420 -bytes Dilithium2 signature
-constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω, λ>();
+constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh
 // Dilithium2 keypair.
diff --git a/include/ml_dsa/dilithium3.hpp b/include/ml_dsa/dilithium3.hpp
index 05401bb..300a814 100644
--- a/include/ml_dsa/dilithium3.hpp
+++ b/include/ml_dsa/dilithium3.hpp
@@ -19,13 +19,13 @@ constexpr size_t ω = 55;
 constexpr size_t λ = 192;
 
 // = 1952 -bytes Dilithium3 public key
-constexpr size_t PubKeyLen = dilithium_utils::pub_key_len<k, d>();
+constexpr size_t PubKeyLen = ml_dsa_utils::pub_key_len(k, d);
 
 // = 4032 -bytes Dilithium3 secret key
-constexpr size_t SecKeyLen = dilithium_utils::sec_key_len<k, l, η, d>();
+constexpr size_t SecKeyLen = ml_dsa_utils::sec_key_len(k, l, η, d);
 
 // = 3309 -bytes Dilithium3 signature
-constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω, λ>();
+constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh
 // Dilithium3 keypair.
diff --git a/include/ml_dsa/dilithium5.hpp b/include/ml_dsa/dilithium5.hpp
index 836b358..b259b75 100644
--- a/include/ml_dsa/dilithium5.hpp
+++ b/include/ml_dsa/dilithium5.hpp
@@ -19,13 +19,13 @@ constexpr size_t ω = 75;
 constexpr size_t λ = 256;
 
 // = 2592 -bytes Dilithium5 public key
-constexpr size_t PubKeyLen = dilithium_utils::pub_key_len<k, d>();
+constexpr size_t PubKeyLen = ml_dsa_utils::pub_key_len(k, d);
 
 // = 4896 -bytes Dilithium5 secret key
-constexpr size_t SecKeyLen = dilithium_utils::sec_key_len<k, l, η, d>();
+constexpr size_t SecKeyLen = ml_dsa_utils::sec_key_len(k, l, η, d);
 
 // = 4627 -bytes Dilithium5 signature
-constexpr size_t SigLen = dilithium_utils::sig_len<k, l, γ1, ω, λ>();
+constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh
 // Dilithium5 keypair.
diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index 11311c7..6e510fb 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -25,8 +25,8 @@ namespace dilithium {
 template<size_t k, size_t l, size_t d, uint32_t η>
 static inline void
 keygen(std::span<const uint8_t, 32> seed,
-       std::span<uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
-       std::span<uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> seckey)
+       std::span<uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
+       std::span<uint8_t, ml_dsa_utils::sec_key_len(k, l, η, d)> seckey)
   requires(ml_dsa_params::check_keygen_params(k, l, d, η))
 {
   std::array<uint8_t, 32 + 64 + 32> seed_hash{};
@@ -137,9 +137,9 @@ keygen(std::span<const uint8_t, 32> seed,
 template<size_t k, size_t l, size_t d, uint32_t η, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline void
 sign(std::span<const uint8_t, 32> rnd,
-     std::span<const uint8_t, dilithium_utils::sec_key_len<k, l, η, d>()> seckey,
+     std::span<const uint8_t, ml_dsa_utils::sec_key_len(k, l, η, d)> seckey,
      std::span<const uint8_t> msg,
-     std::span<uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
+     std::span<uint8_t, ml_dsa_utils::sig_len(k, l, γ1, ω, λ)> sig)
   requires(ml_dsa_params::check_signing_params(k, l, d, η, γ1, γ2, τ, β, ω, λ))
 {
   constexpr uint32_t t0_rng = 1u << (d - 1);
@@ -311,9 +311,9 @@ sign(std::span<const uint8_t, 32> rnd,
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k, size_t l, size_t d, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline bool
-verify(std::span<const uint8_t, dilithium_utils::pub_key_len<k, d>()> pubkey,
+verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
        std::span<const uint8_t> msg,
-       std::span<const uint8_t, dilithium_utils::sig_len<k, l, γ1, ω, λ>()> sig)
+       std::span<const uint8_t, ml_dsa_utils::sig_len(k, l, γ1, ω, λ)> sig)
   requires(ml_dsa_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
 {
   constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
diff --git a/include/ml_dsa/internals/utility/utils.hpp b/include/ml_dsa/internals/utility/utils.hpp
index d0cf5f8..6b331ee 100644
--- a/include/ml_dsa/internals/utility/utils.hpp
+++ b/include/ml_dsa/internals/utility/utils.hpp
@@ -1,97 +1,40 @@
 #pragma once
-#include "params.hpp"
-#include <cassert>
-#include <charconv>
-#include <cstdint>
-#include <iomanip>
-#include <limits>
-#include <sstream>
-#include <vector>
+#include "ml_dsa/internals/math/field.hpp"
 
-// Utility functions for Dilithium Post-Quantum Digital Signature Algorithm
-namespace dilithium_utils {
+// Utility functions for ML-DSA
+namespace ml_dsa_utils {
 
-// Compile-time compute how many bytes to reserve for storing serialized
-// Dilithium public key, for given parameter set
+// Compile-time compute how many bytes to reserve for storing serialized ML-DSA public key, for given parameter set.
 //
-// See table 2 and section 5.4 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-template<size_t k, size_t d>
+// See table 1, 2 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
 static inline constexpr size_t
-pub_key_len()
-  requires(ml_dsa_params::check_d(d))
+pub_key_len(const size_t k, const size_t d)
 {
-  constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
-  constexpr size_t pklen = 32 + k * 32 * t1_bw;
+  const size_t t1_bw = ml_dsa_field::Q_BIT_WIDTH - d;
+  const size_t pklen = 32 + k * 32 * t1_bw;
   return pklen;
 }
 
-// Compile-time compute how many bytes to reserve for storing serialized
-// Dilithium secret key, for given parameter set
+// Compile-time compute how many bytes to reserve for storing serialized ML-DSA secret key, for given parameter set.
 //
-// See table 2 and section 5.4 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-template<size_t k, size_t l, uint32_t η, size_t d>
+// See table 1, 2 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
 static inline constexpr size_t
-sec_key_len()
-  requires(ml_dsa_params::check_d(d))
+sec_key_len(const size_t k, const size_t l, const uint32_t η, const size_t d)
 {
-  constexpr size_t eta_bw = std::bit_width(2 * η);
-  constexpr size_t sklen = 32 + 32 + 64 + 32 * (eta_bw * (k + l) + k * d);
+  const size_t eta_bw = std::bit_width(2 * η);
+  const size_t sklen = 32 + 32 + 64 + 32 * (eta_bw * (k + l) + k * d);
   return sklen;
 }
 
-// Compile-time compute how many bytes to reserve for storing serialized
-// Dilithium signature, for specified parameter set
+// Compile-time compute how many bytes to reserve for storing serialized ML-DSA signature, for specified parameter set.
 //
-// See table 2 and section 5.4 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-template<size_t k, size_t l, uint32_t γ1, size_t ω, size_t λ>
+// See table 1, 2 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
 static inline constexpr size_t
-sig_len()
+sig_len(const size_t k, const size_t l, const uint32_t γ1, const size_t ω, const size_t λ)
 {
-  constexpr size_t gamma1_bw = std::bit_width(γ1);
-  constexpr size_t siglen = ((2 * λ) / std::numeric_limits<uint8_t>::digits) + (32 * l * gamma1_bw) + (ω + k);
+  const size_t gamma1_bw = std::bit_width(γ1);
+  const size_t siglen = ((2 * λ) / std::numeric_limits<uint8_t>::digits) + (32 * l * gamma1_bw) + (ω + k);
   return siglen;
 }
 
-// Given a bytearray of length N, this function converts it to human readable
-// hex string of length N << 1 | N >= 0
-static inline const std::string
-to_hex(std::span<const uint8_t> bytes)
-{
-  std::stringstream ss;
-  ss << std::hex;
-
-  for (size_t i = 0; i < bytes.size(); i++) {
-    ss << std::setw(2) << std::setfill('0') << static_cast<uint32_t>(bytes[i]);
-  }
-
-  return ss.str();
-}
-
-// Given a hex encoded string of length 2*L, this routine can be used for
-// parsing it as a byte array of length L.
-static inline std::vector<uint8_t>
-from_hex(std::string_view hex)
-{
-  const size_t hlen = hex.length();
-  assert(hlen % 2 == 0);
-
-  const size_t blen = hlen / 2;
-  std::vector<uint8_t> res(blen, 0);
-
-  for (size_t i = 0; i < blen; i++) {
-    const size_t off = i * 2;
-
-    uint8_t byte = 0;
-    auto sstr = hex.substr(off, 2);
-    std::from_chars(sstr.data(), sstr.data() + 2, byte, 16);
-
-    res[i] = byte;
-  }
-
-  return res;
-}
-
 }
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index 43280aa..e24d246 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -10,7 +10,29 @@
 #include <vector>
 
 using namespace std::literals;
-namespace utils = dilithium_utils;
+
+// Given a hex encoded string of length 2*L, this routine can be used for parsing it as a byte array of length L.
+static inline std::vector<uint8_t>
+from_hex(std::string_view hex)
+{
+  const size_t hlen = hex.length();
+  assert(hlen % 2 == 0);
+
+  const size_t blen = hlen / 2;
+  std::vector<uint8_t> res(blen, 0);
+
+  for (size_t i = 0; i < blen; i++) {
+    const size_t off = i * 2;
+
+    uint8_t byte = 0;
+    auto sstr = hex.substr(off, 2);
+    std::from_chars(sstr.data(), sstr.data() + 2, byte, 16);
+
+    res[i] = byte;
+  }
+
+  return res;
+}
 
 // Use Dilithium2 known answer tests to ensure functional correctness and
 // compatibility of this Dilithium library implementation with the specification
@@ -26,7 +48,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
     if (!std::getline(file, seed0).eof()) {
       auto seed1 = std::string_view(seed0);
       auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
-      auto seed = utils::from_hex(seed2);
+      auto seed = from_hex(seed2);
       auto _seed = std::span<uint8_t, 32>(seed); // 32 -bytes seed
 
       std::string pkey0;
@@ -34,14 +56,14 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 
       auto pkey1 = std::string_view(pkey0);
       auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
-      auto pkey = utils::from_hex(pkey2); // Expected public key
+      auto pkey = from_hex(pkey2); // Expected public key
 
       std::string skey0;
       std::getline(file, skey0);
 
       auto skey1 = std::string_view(skey0);
       auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
-      auto skey = utils::from_hex(skey2); // Expected secret key
+      auto skey = from_hex(skey2); // Expected secret key
 
       std::string mlen0;
       std::getline(file, mlen0);
@@ -56,7 +78,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 
       auto msg1 = std::string_view(msg0);
       auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
-      auto msg = utils::from_hex(msg2);
+      auto msg = from_hex(msg2);
       auto _msg = std::span(msg); // Message to be signed
 
       std::string rnd0;
@@ -64,7 +86,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 
       auto rnd1 = std::string_view(rnd0);
       auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
-      auto rnd = utils::from_hex(rnd2);
+      auto rnd = from_hex(rnd2);
       auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
 
       std::string sig0;
@@ -72,7 +94,7 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
 
       auto sig1 = std::string_view(sig0);
       auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
-      auto sig = utils::from_hex(sig2); // Expected signature
+      auto sig = from_hex(sig2); // Expected signature
 
       std::vector<uint8_t> _pkey(dilithium2::PubKeyLen, 0);
       std::vector<uint8_t> _skey(dilithium2::SecKeyLen, 0);
@@ -118,7 +140,7 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
     if (!std::getline(file, seed0).eof()) {
       auto seed1 = std::string_view(seed0);
       auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
-      auto seed = utils::from_hex(seed2);
+      auto seed = from_hex(seed2);
       auto _seed = std::span<uint8_t, 32>(seed); // 32 -bytes seed
 
       std::string pkey0;
@@ -126,14 +148,14 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
 
       auto pkey1 = std::string_view(pkey0);
       auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
-      auto pkey = utils::from_hex(pkey2); // Expected public key
+      auto pkey = from_hex(pkey2); // Expected public key
 
       std::string skey0;
       std::getline(file, skey0);
 
       auto skey1 = std::string_view(skey0);
       auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
-      auto skey = utils::from_hex(skey2); // Expected secret key
+      auto skey = from_hex(skey2); // Expected secret key
 
       std::string mlen0;
       std::getline(file, mlen0);
@@ -148,7 +170,7 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
 
       auto msg1 = std::string_view(msg0);
       auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
-      auto msg = utils::from_hex(msg2);
+      auto msg = from_hex(msg2);
       auto _msg = std::span(msg); // Message to be signed
 
       std::string rnd0;
@@ -156,7 +178,7 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
 
       auto rnd1 = std::string_view(rnd0);
       auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
-      auto rnd = utils::from_hex(rnd2);
+      auto rnd = from_hex(rnd2);
       auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
 
       std::string sig0;
@@ -164,7 +186,7 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
 
       auto sig1 = std::string_view(sig0);
       auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
-      auto sig = utils::from_hex(sig2); // Expected signature
+      auto sig = from_hex(sig2); // Expected signature
 
       std::vector<uint8_t> _pkey(dilithium3::PubKeyLen, 0);
       std::vector<uint8_t> _skey(dilithium3::SecKeyLen, 0);
@@ -210,7 +232,7 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
     if (!std::getline(file, seed0).eof()) {
       auto seed1 = std::string_view(seed0);
       auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
-      auto seed = utils::from_hex(seed2);
+      auto seed = from_hex(seed2);
       auto _seed = std::span<uint8_t, 32>(seed); // 32 -bytes seed
 
       std::string pkey0;
@@ -218,14 +240,14 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
 
       auto pkey1 = std::string_view(pkey0);
       auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
-      auto pkey = utils::from_hex(pkey2); // Expected public key
+      auto pkey = from_hex(pkey2); // Expected public key
 
       std::string skey0;
       std::getline(file, skey0);
 
       auto skey1 = std::string_view(skey0);
       auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
-      auto skey = utils::from_hex(skey2); // Expected secret key
+      auto skey = from_hex(skey2); // Expected secret key
 
       std::string mlen0;
       std::getline(file, mlen0);
@@ -240,7 +262,7 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
 
       auto msg1 = std::string_view(msg0);
       auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
-      auto msg = utils::from_hex(msg2);
+      auto msg = from_hex(msg2);
       auto _msg = std::span(msg); // Message to be signed
 
       std::string rnd0;
@@ -248,7 +270,7 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
 
       auto rnd1 = std::string_view(rnd0);
       auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
-      auto rnd = utils::from_hex(rnd2);
+      auto rnd = from_hex(rnd2);
       auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
 
       std::string sig0;
@@ -256,7 +278,7 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
 
       auto sig1 = std::string_view(sig0);
       auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
-      auto sig = utils::from_hex(sig2); // Expected signature
+      auto sig = from_hex(sig2); // Expected signature
 
       std::vector<uint8_t> _pkey(dilithium5::PubKeyLen, 0);
       std::vector<uint8_t> _skey(dilithium5::SecKeyLen, 0);

From 7f877ff85960b9d3afee37e6ce5b20d122f1d19b Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Tue, 16 Jul 2024 18:53:26 +0400
Subject: [PATCH 15/37] Refactor shake256 based pseudo random number generator

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 README.md                               |  2 +-
 benchmarks/dilithium2.cpp               |  8 ++--
 benchmarks/dilithium3.cpp               |  8 ++--
 benchmarks/dilithium5.cpp               |  8 ++--
 examples/dilithium2.cpp                 |  5 ++-
 include/ml_dsa/internals/math/field.hpp |  3 +-
 include/ml_dsa/internals/rng/prng.hpp   | 50 ++++++++++++-------------
 tests/test_bit_packing.cpp              |  2 +-
 tests/test_field.cpp                    |  2 +-
 tests/test_reduction.cpp                |  4 +-
 tests/test_sampling.cpp                 |  2 +-
 tests/test_signing.cpp                  |  6 +--
 12 files changed, 50 insertions(+), 50 deletions(-)

diff --git a/README.md b/README.md
index d5cf27e..0fa25b4 100644
--- a/README.md
+++ b/README.md
@@ -434,7 +434,7 @@ int main() {
     //
     // Be careful, read API documentation in include/prng.hpp
     // before you consider using it in production.
-    prng::prng_t prng;
+    ml_dsa_prng::prng_t<128> prng;
     prng.read(seed);
 
     dilithium2::keygen(seed, pubkey, seckey);
diff --git a/benchmarks/dilithium2.cpp b/benchmarks/dilithium2.cpp
index f3fc2f7..766d180 100644
--- a/benchmarks/dilithium2.cpp
+++ b/benchmarks/dilithium2.cpp
@@ -1,4 +1,4 @@
-#include "dilithium2.hpp"
+#include "ml_dsa/dilithium2.hpp"
 #include "bench_helper.hpp"
 #include <benchmark/benchmark.h>
 
@@ -18,7 +18,7 @@ dilithium2_keygen(benchmark::State& state)
   auto _pubkey = std::span<uint8_t, pklen>(pubkey);
   auto _seckey = std::span<uint8_t, sklen>(seckey);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<128> prng;
   prng.read(_seed);
 
   for (auto _ : state) {
@@ -55,7 +55,7 @@ dilithium2_sign(benchmark::State& state)
   auto _sig = std::span<uint8_t, siglen>(sig);
   auto _msg = std::span(msg);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<128> prng;
   prng.read(_seed);
   prng.read(_msg);
 
@@ -96,7 +96,7 @@ dilithium2_verify(benchmark::State& state)
   auto _sig = std::span<uint8_t, siglen>(sig);
   auto _msg = std::span(msg);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<128> prng;
   prng.read(_seed);
   prng.read(_msg);
 
diff --git a/benchmarks/dilithium3.cpp b/benchmarks/dilithium3.cpp
index 47c0089..9b3ada3 100644
--- a/benchmarks/dilithium3.cpp
+++ b/benchmarks/dilithium3.cpp
@@ -1,4 +1,4 @@
-#include "dilithium3.hpp"
+#include "ml_dsa/dilithium3.hpp"
 #include "bench_helper.hpp"
 #include <benchmark/benchmark.h>
 
@@ -18,7 +18,7 @@ dilithium3_keygen(benchmark::State& state)
   auto _pubkey = std::span<uint8_t, pklen>(pubkey);
   auto _seckey = std::span<uint8_t, sklen>(seckey);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<192> prng;
   prng.read(_seed);
 
   for (auto _ : state) {
@@ -55,7 +55,7 @@ dilithium3_sign(benchmark::State& state)
   auto _sig = std::span<uint8_t, siglen>(sig);
   auto _msg = std::span(msg);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<192> prng;
   prng.read(_seed);
   prng.read(_msg);
 
@@ -96,7 +96,7 @@ dilithium3_verify(benchmark::State& state)
   auto _sig = std::span<uint8_t, siglen>(sig);
   auto _msg = std::span(msg);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<192> prng;
   prng.read(_seed);
   prng.read(_msg);
 
diff --git a/benchmarks/dilithium5.cpp b/benchmarks/dilithium5.cpp
index c831537..f2d3cef 100644
--- a/benchmarks/dilithium5.cpp
+++ b/benchmarks/dilithium5.cpp
@@ -1,4 +1,4 @@
-#include "dilithium5.hpp"
+#include "ml_dsa/dilithium5.hpp"
 #include "bench_helper.hpp"
 #include <benchmark/benchmark.h>
 
@@ -18,7 +18,7 @@ dilithium5_keygen(benchmark::State& state)
   auto _pubkey = std::span<uint8_t, pklen>(pubkey);
   auto _seckey = std::span<uint8_t, sklen>(seckey);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
   prng.read(_seed);
 
   for (auto _ : state) {
@@ -55,7 +55,7 @@ dilithium5_sign(benchmark::State& state)
   auto _sig = std::span<uint8_t, siglen>(sig);
   auto _msg = std::span(msg);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
   prng.read(_seed);
   prng.read(_msg);
 
@@ -96,7 +96,7 @@ dilithium5_verify(benchmark::State& state)
   auto _sig = std::span<uint8_t, siglen>(sig);
   auto _msg = std::span(msg);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
   prng.read(_seed);
   prng.read(_msg);
 
diff --git a/examples/dilithium2.cpp b/examples/dilithium2.cpp
index 63a8589..79dfab0 100644
--- a/examples/dilithium2.cpp
+++ b/examples/dilithium2.cpp
@@ -42,10 +42,11 @@ main()
   auto _seckey = std::span<uint8_t, dilithium2::SecKeyLen>(seckey);
   auto _sig = std::span<uint8_t, dilithium2::SigLen>(sig);
 
-  // generate random 32 -bytes seed & N -bytes message ( to be signed )
-  prng::prng_t prng;
+  // Generate random 32 -bytes seed, 32 -bytes randomness (for signing) and N -bytes message ( to be signed )
+  ml_dsa_prng::prng_t<128> prng;
 
   prng.read(_seed);
+  prng.read(_rnd);
   prng.read(_msg);
 
   // Key generation -> signing -> verification
diff --git a/include/ml_dsa/internals/math/field.hpp b/include/ml_dsa/internals/math/field.hpp
index bcb6275..55ca179 100644
--- a/include/ml_dsa/internals/math/field.hpp
+++ b/include/ml_dsa/internals/math/field.hpp
@@ -139,7 +139,8 @@ struct zq_t
   inline constexpr zq_t operator<<(const size_t l) const { return zq_t(this->v << l); }
 
   // Generate a random field element
-  static inline zq_t random(prng::prng_t& prng)
+  template<size_t bit_security_level>
+  static inline zq_t random(ml_dsa_prng::prng_t<bit_security_level>& prng)
   {
     uint32_t res = 0;
     prng.read(std::span(reinterpret_cast<uint8_t*>(&res), sizeof(res)));
diff --git a/include/ml_dsa/internals/rng/prng.hpp b/include/ml_dsa/internals/rng/prng.hpp
index 520e12b..2063d50 100644
--- a/include/ml_dsa/internals/rng/prng.hpp
+++ b/include/ml_dsa/internals/rng/prng.hpp
@@ -1,46 +1,41 @@
 #pragma once
-#include "shake128.hpp"
-#include <array>
+#include "shake256.hpp"
+#include <limits>
 #include <random>
 
-// Pseudo Random Number Generator
-namespace prng {
+namespace ml_dsa_prng {
 
-// Pseudo Random Number Generator s.t. N (>0) -many random bytes are read
-// from SHAKE128 XOF state, by calling it arbitrary many times, s.t. SHAKE128
-// state is obtained by
+// Pseudo Random Number Generator s.t. N (>0) -many random bytes are read from SHAKE256 Xof state, arbitrary many times
+// s.t. SHAKE256 state is obtained by
 //
-// - either absorbing 32 -bytes, sampled using std::random_device ( default )
-// - or absorbing M(>0) -bytes, supplied as argument ( explicit )
+// - either hashing `bit_security_level / 8` -bytes sampled using std::random_device ( default )
+// - or hashing `bit_security_level / 8` -bytes supplied as argument ( explicit )
 //
-// Note, std::random_device's behaviour is implementation defined feature, so
-// this PRNG implementation doesn't guarantee that it'll generate cryptographic
-// secure random bytes if you opt for using default constructor of this struct.
+// Note, std::random_device's behaviour is implementation defined feature, so this PRNG implementation doesn't guarantee
+// that it'll generate cryptographic secure random bytes if you opt for using default constructor of this struct.
 //
-// I suggest you read
-// https://en.cppreference.com/w/cpp/numeric/random/random_device/random_device
-// before using default constructor. When using explicit constructor, it's
-// your responsibility to supply M -many random seed bytes.
-//
-// This implementation is taken from
-// https://github.com/itzmeanjan/kyber/blob/7b107470/include/prng.hpp
+// I strongly suggest you read https://en.cppreference.com/w/cpp/numeric/random/random_device/random_device before using
+// default constructor. When using explicit constructor, it's your responsibility to supply `bit_security_level / 8`
+// -many random seed bytes.
+template<size_t bit_security_level>
+  requires((bit_security_level == 128) || (bit_security_level == 192) || (bit_security_level == 256))
 struct prng_t
 {
 private:
-  shake128::shake128_t state;
+  shake256::shake256_t state{};
 
 public:
+  // Default constructor which seeds PRNG with system randomness.
   inline prng_t()
   {
-    std::array<uint8_t, 32> seed{};
+    std::array<uint8_t, bit_security_level / std::numeric_limits<uint8_t>::digits> seed{};
     auto _seed = std::span(seed);
 
-    // Read more @
-    // https://en.cppreference.com/w/cpp/numeric/random/random_device/random_device
+    // Read more @ https://en.cppreference.com/w/cpp/numeric/random/random_device/random_device
     std::random_device rd{};
 
     size_t off = 0;
-    while (off < sizeof(seed)) {
+    while (off < _seed.size()) {
       const uint32_t v = rd();
       std::memcpy(_seed.subspan(off, sizeof(v)).data(), &v, sizeof(v));
 
@@ -51,13 +46,16 @@ struct prng_t
     state.finalize();
   }
 
-  inline explicit constexpr prng_t(std::span<const uint8_t> seed)
+  // Explicit constructor which can be used for seeding PRNG.
+  inline explicit constexpr prng_t(
+    std::span<const uint8_t, bit_security_level / std::numeric_limits<uint8_t>::digits> seed)
   {
     state.absorb(seed);
     state.finalize();
   }
 
-  inline void constexpr read(std::span<uint8_t> bytes) { state.squeeze(bytes); }
+  // Once PRNG is seeded i.e. PRNG object is constructed, you can request arbitrary many pseudo-random bytes from PRNG.
+  inline constexpr void read(std::span<uint8_t> bytes) { state.squeeze(bytes); }
 };
 
 }
diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index 5aca693..4ba8c5a 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -23,7 +23,7 @@ test_encode_decode()
   auto _polyb = std::span<ml_dsa_field::zq_t, ntt::N>(polyb);
   auto _arr = std::span<uint8_t, enc_len>(arr);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < ntt::N; i++) {
     _polya[i] = ml_dsa_field::zq_t::random(prng);
diff --git a/tests/test_field.cpp b/tests/test_field.cpp
index c7593d8..d715441 100644
--- a/tests/test_field.cpp
+++ b/tests/test_field.cpp
@@ -7,7 +7,7 @@
 TEST(Dilithium, ArithmeticOverZq)
 {
   constexpr size_t itr_cnt = 1ul << 20;
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < itr_cnt; i++) {
     const auto a = ml_dsa_field::zq_t::random(prng);
diff --git a/tests/test_reduction.cpp b/tests/test_reduction.cpp
index 88b195a..16ae2c9 100644
--- a/tests/test_reduction.cpp
+++ b/tests/test_reduction.cpp
@@ -11,7 +11,7 @@ TEST(Dilithium, Power2Round)
   constexpr size_t d = 13;
   constexpr ml_dsa_field::zq_t t0(1u << d);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < itr_cnt; i++) {
     const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
@@ -34,7 +34,7 @@ template<uint32_t alpha, uint32_t z, size_t rounds = 65536ul>
 static void
 test_decompose()
 {
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < rounds; i++) {
     const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
diff --git a/tests/test_sampling.cpp b/tests/test_sampling.cpp
index bbabddf..7c966f0 100644
--- a/tests/test_sampling.cpp
+++ b/tests/test_sampling.cpp
@@ -14,7 +14,7 @@ test_sample_in_ball()
   auto _seed = std::span(seed);
   auto _poly = std::span<ml_dsa_field::zq_t, ntt::N>(poly);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
 
   prng.read(_seed);
   sampling::sample_in_ball<τ>(_seed, _poly);
diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
index bdafb7a..d5bec0d 100644
--- a/tests/test_signing.cpp
+++ b/tests/test_signing.cpp
@@ -66,7 +66,7 @@ test_dilithium2_signing(const size_t mlen)
   auto _msg0 = std::span(msg0);
   auto _msg1 = std::span(msg1);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<128> prng;
 
   prng.read(_seed);
   prng.read(_msg0);
@@ -137,7 +137,7 @@ test_dilithium3_signing(const size_t mlen)
   auto _msg0 = std::span(msg0);
   auto _msg1 = std::span(msg1);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<192> prng;
 
   prng.read(_seed);
   prng.read(_msg0);
@@ -208,7 +208,7 @@ test_dilithium5_signing(const size_t mlen)
   auto _msg0 = std::span(msg0);
   auto _msg1 = std::span(msg1);
 
-  prng::prng_t prng;
+  ml_dsa_prng::prng_t<256> prng;
 
   prng.read(_seed);
   prng.read(_msg0);

From 21e32bae0ec20eed7c847747d292e9483a784b14 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Wed, 17 Jul 2024 21:20:37 +0400
Subject: [PATCH 16/37] Refactor number theoretic transform implementation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/dilithium.hpp        |  64 ++++----
 include/ml_dsa/internals/poly/bit_packing.hpp |  14 +-
 include/ml_dsa/internals/poly/ntt.hpp         |  74 ++++-----
 include/ml_dsa/internals/poly/poly.hpp        |  36 ++---
 include/ml_dsa/internals/poly/polyvec.hpp     | 150 +++++++++---------
 include/ml_dsa/internals/poly/sampling.hpp    |  42 ++---
 tests/dudect/test_dilithium2.cpp              |   2 +-
 tests/dudect/test_dilithium3.cpp              |   2 +-
 tests/dudect/test_dilithium5.cpp              |   2 +-
 tests/test_bit_packing.cpp                    |  30 ++--
 tests/test_sampling.cpp                       |   4 +-
 11 files changed, 202 insertions(+), 218 deletions(-)

diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index 6e510fb..a1825b0 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -41,28 +41,28 @@ keygen(std::span<const uint8_t, 32> seed,
   auto rho_prime = _seed_hash.template subspan<rho.size(), 64>();
   auto key = _seed_hash.template subspan<rho.size() + rho_prime.size(), 32>();
 
-  std::array<ml_dsa_field::zq_t, k * l * ntt::N> A{};
+  std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
   sampling::expand_a<k, l>(rho, A);
 
-  std::array<ml_dsa_field::zq_t, l * ntt::N> s1{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> s2{};
+  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> s1{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> s2{};
 
   sampling::expand_s<η, l, 0>(rho_prime, s1);
   sampling::expand_s<η, k, l>(rho_prime, s2);
 
-  std::array<ml_dsa_field::zq_t, l * ntt::N> s1_prime{};
+  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> s1_prime{};
 
   std::copy(s1.begin(), s1.end(), s1_prime.begin());
   polyvec::ntt<l>(s1_prime);
 
-  std::array<ml_dsa_field::zq_t, k * ntt::N> t{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t{};
 
   polyvec::matrix_multiply<k, l, l, 1>(A, s1_prime, t);
   polyvec::intt<k>(t);
   polyvec::add_to<k>(s2, t);
 
-  std::array<ml_dsa_field::zq_t, k * ntt::N> t1{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> t0{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t1{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t0{};
 
   polyvec::power2round<k, d>(t, t1, t0);
 
@@ -159,7 +159,7 @@ sign(std::span<const uint8_t, 32> rnd,
   auto key = seckey.template subspan<skoff1, skoff2 - skoff1>();
   auto tr = seckey.template subspan<skoff2, skoff3 - skoff2>();
 
-  std::array<ml_dsa_field::zq_t, k * l * ntt::N> A{};
+  std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
   sampling::expand_a<k, l>(rho, A);
 
   std::array<uint8_t, 64> mu{};
@@ -180,9 +180,9 @@ sign(std::span<const uint8_t, 32> rnd,
   hasher.finalize();
   hasher.squeeze(rho_prime);
 
-  std::array<ml_dsa_field::zq_t, l * ntt::N> s1{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> s2{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> t0{};
+  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> s1{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> s2{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t0{};
 
   polyvec::decode<l, eta_bw>(seckey.template subspan<skoff3, skoff4 - skoff3>(), s1);
   polyvec::decode<k, eta_bw>(seckey.template subspan<skoff4, skoff5 - skoff4>(), s2);
@@ -199,8 +199,8 @@ sign(std::span<const uint8_t, 32> rnd,
   bool has_signed = false;
   uint16_t kappa = 0;
 
-  std::array<ml_dsa_field::zq_t, l * ntt::N> z{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> h{};
+  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> z{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h{};
 
   std::array<uint8_t, (2 * λ) / std::numeric_limits<uint8_t>::digits> c_tilda{};
   auto c_tilda_span = std::span(c_tilda);
@@ -208,9 +208,9 @@ sign(std::span<const uint8_t, 32> rnd,
   auto c2_tilda = c_tilda_span.template last<32>();
 
   while (!has_signed) {
-    std::array<ml_dsa_field::zq_t, l * ntt::N> y{};
-    std::array<ml_dsa_field::zq_t, l * ntt::N> y_prime{};
-    std::array<ml_dsa_field::zq_t, k * ntt::N> w{};
+    std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> y{};
+    std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> y_prime{};
+    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w{};
 
     sampling::expand_mask<γ1, l>(rho_prime, kappa, y);
 
@@ -224,10 +224,10 @@ sign(std::span<const uint8_t, 32> rnd,
     constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
     constexpr size_t w1bw = std::bit_width(m - 1u);
 
-    std::array<ml_dsa_field::zq_t, k * ntt::N> w1{};
+    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w1{};
     std::array<uint8_t, _mu.size() + (k * w1bw * 32)> hash_in{};
     auto _hash_in = std::span(hash_in);
-    std::array<ml_dsa_field::zq_t, ntt::N> c{};
+    std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
 
     polyvec::highbits<k, α>(w, w1);
 
@@ -240,14 +240,14 @@ sign(std::span<const uint8_t, 32> rnd,
     hasher.squeeze(c_tilda);
 
     sampling::sample_in_ball<τ>(c1_tilda, c);
-    ntt::ntt(c);
+    ml_dsa_ntt::ntt(c);
 
     polyvec::mul_by_poly<l>(c, s1, z);
     polyvec::intt<l>(z);
     polyvec::add_to<l>(y, z);
 
-    std::array<ml_dsa_field::zq_t, k * ntt::N> r0{};
-    std::array<ml_dsa_field::zq_t, k * ntt::N> r1{};
+    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> r0{};
+    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> r1{};
 
     polyvec::mul_by_poly<k>(c, s2, r1);
     polyvec::intt<k>(r1);
@@ -267,8 +267,8 @@ sign(std::span<const uint8_t, 32> rnd,
 
     has_signed = !flg2;
 
-    std::array<ml_dsa_field::zq_t, k * ntt::N> h0{};
-    std::array<ml_dsa_field::zq_t, k * ntt::N> h1{};
+    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h0{};
+    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h1{};
 
     polyvec::mul_by_poly<k>(c, t0, h0);
     polyvec::intt<k>(h0);
@@ -328,8 +328,8 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   constexpr size_t sigoff2 = sigoff1 + (32 * l * gamma1_bw);
   constexpr size_t sigoff3 = sig.size();
 
-  std::array<ml_dsa_field::zq_t, k * l * ntt::N> A{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> t1{};
+  std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t1{};
 
   sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
   polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
@@ -348,24 +348,24 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   hasher.finalize();
   hasher.squeeze(mu);
 
-  std::array<ml_dsa_field::zq_t, ntt::N> c{};
+  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
   auto c_tilda = sig.template first<sigoff1 - sigoff0>();
   auto c1_tilda = c_tilda.template first<32>();
   auto c2_tilda = c_tilda.template last<32>();
 
   sampling::sample_in_ball<τ>(c1_tilda, c);
-  ntt::ntt(c);
+  ml_dsa_ntt::ntt(c);
 
-  std::array<ml_dsa_field::zq_t, l * ntt::N> z{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> h{};
+  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> z{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h{};
 
   polyvec::decode<l, gamma1_bw>(sig.template subspan<sigoff1, sigoff2 - sigoff1>(), z);
   polyvec::sub_from_x<l, γ1>(z);
   const bool failed = bit_packing::decode_hint_bits<k, ω>(sig.template subspan<sigoff2, sigoff3 - sigoff2>(), h);
 
-  std::array<ml_dsa_field::zq_t, k * ntt::N> w0{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> w1{};
-  std::array<ml_dsa_field::zq_t, k * ntt::N> w2{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w0{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w1{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w2{};
 
   const ml_dsa_field::zq_t z_norm = polyvec::infinity_norm<l>(z);
   const size_t count_1 = polyvec::count_1s<k>(h);
diff --git a/include/ml_dsa/internals/poly/bit_packing.hpp b/include/ml_dsa/internals/poly/bit_packing.hpp
index bc48437..166fe6a 100644
--- a/include/ml_dsa/internals/poly/bit_packing.hpp
+++ b/include/ml_dsa/internals/poly/bit_packing.hpp
@@ -17,7 +17,7 @@ namespace bit_packing {
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t sbw>
 static inline constexpr void
-encode(std::span<const ml_dsa_field::zq_t, ntt::N> poly, std::span<uint8_t, ntt::N * sbw / 8> arr)
+encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_t, ml_dsa_ntt::N * sbw / 8> arr)
   requires(ml_dsa_params::check_sbw(sbw))
 {
   std::memset(arr.data(), 0, arr.size());
@@ -186,7 +186,7 @@ encode(std::span<const ml_dsa_field::zq_t, ntt::N> poly, std::span<uint8_t, ntt:
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t sbw>
 static inline constexpr void
-decode(std::span<const uint8_t, ntt::N * sbw / 8> arr, std::span<ml_dsa_field::zq_t, ntt::N> poly)
+decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   requires(ml_dsa_params::check_sbw(sbw))
 {
   // Instead of std::memset use following loop to avoid compiler warnings.
@@ -333,16 +333,16 @@ decode(std::span<const uint8_t, ntt::N * sbw / 8> arr, std::span<ml_dsa_field::z
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k, size_t ω>
 static inline constexpr void
-encode_hint_bits(std::span<const ml_dsa_field::zq_t, k * ntt::N> h, std::span<uint8_t, ω + k> arr)
+encode_hint_bits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h, std::span<uint8_t, ω + k> arr)
 {
   constexpr auto zero = ml_dsa_field::zq_t::zero();
   std::memset(arr.data(), 0, arr.size());
 
   size_t idx = 0;
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
+    const size_t off = i * ml_dsa_ntt::N;
 
-    for (size_t j = 0; j < ntt::N; j++) {
+    for (size_t j = 0; j < ml_dsa_ntt::N; j++) {
       const bool flg = h[off + j] != zero;
       const uint8_t br[]{ arr[idx], static_cast<uint8_t>(j) };
 
@@ -363,7 +363,7 @@ encode_hint_bits(std::span<const ml_dsa_field::zq_t, k * ntt::N> h, std::span<ui
 // failed.
 template<size_t k, size_t ω>
 static inline constexpr bool
-decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<ml_dsa_field::zq_t, k * ntt::N> h)
+decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h)
 {
   std::fill(h.begin(), h.end(), ml_dsa_field::zq_t::zero());
 
@@ -371,7 +371,7 @@ decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<ml_dsa_field::z
   bool failed = false;
 
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
+    const size_t off = i * ml_dsa_ntt::N;
 
     const bool flg0 = arr[ω + i] < idx;
     const bool flg1 = arr[ω + i] > ω;
diff --git a/include/ml_dsa/internals/poly/ntt.hpp b/include/ml_dsa/internals/poly/ntt.hpp
index cf0ad2d..50f5929 100644
--- a/include/ml_dsa/internals/poly/ntt.hpp
+++ b/include/ml_dsa/internals/poly/ntt.hpp
@@ -3,28 +3,23 @@
 #include <array>
 #include <span>
 
-// (inverse) Number Theoretic Transform for degree-255 polynomial, over
-// Dilithium Prime Field Z_q | q = 2^23 - 2^13 + 1
-namespace ntt {
+// Number Theoretic Transform for degree-255 polynomial
+namespace ml_dsa_ntt {
 
-constexpr size_t LOG2N = 8;
-constexpr size_t N = 1 << LOG2N;
+static constexpr size_t LOG2N = 8;
+static constexpr size_t N = 1 << LOG2N;
 
-// First primitive 512 -th root of unity modulo q | q = 2^23 - 2^13 + 1
-//
-// Meaning, 1753 ** 512 == 1 mod q
-constexpr ml_dsa_field::zq_t ζ(1753);
+// First primitive 512 -th root of unity modulo q
+static constexpr ml_dsa_field::zq_t ζ(1753);
+static_assert((ζ ^ 512) == ml_dsa_field::zq_t::one(), "ζ must be 512th root of unity modulo Q");
 
-// Multiplicative inverse of N over Z_q | q = 2^23 - 2^13 + 1, N = 256
-constexpr auto INV_N = ml_dsa_field::zq_t(N).inv();
+// Multiplicative inverse of N over Z_q
+static constexpr auto INV_N = ml_dsa_field::zq_t(N).inv();
 
-// Given a 64 -bit unsigned integer, this routine extracts specified many
-// contiguous bits from LSB ( least significant bits ) side & reverses their bit
-// order, returning bit reversed `mbw` -bit wide number.
+// Given a 64 -bit unsigned integer, this routine extracts specified many contiguous bits from LSB ( least significant
+// bits ) side & reverses their bit order, returning bit reversed `mbw` -bit wide number.
 //
-// See
-// https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L74-L93
-// for source of inspiration.
+// See https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L74-L93 for source of inspiration.
 template<size_t mbw>
 static inline constexpr size_t
 bit_rev(const size_t v)
@@ -40,11 +35,8 @@ bit_rev(const size_t v)
   return v_rev;
 }
 
-// Compile-time compute table holding powers of ζ, which is used for computing
-// NTT over degree-255 polynomial s.t. coefficients ∈ Zq.
-static consteval std::array<ml_dsa_field::zq_t, N>
-compute_powers_of_ζ()
-{
+// Precomputed table of powers of ζ, used during polynomial evaluation.
+static constexpr auto ζ_EXP = []() {
   std::array<ml_dsa_field::zq_t, N> res;
 
   for (size_t i = 0; i < N; i++) {
@@ -52,16 +44,10 @@ compute_powers_of_ζ()
   }
 
   return res;
-}
-
-// Precomputed table of powers of ζ, used when computing NTT.
-constexpr auto ζ_EXP = compute_powers_of_ζ();
+}();
 
-// Compile-time compute table holding negated powers of ζ, which is used for
-// computing iNTT over degree-255 polynomial s.t. coefficients ∈ Zq.
-static consteval std::array<ml_dsa_field::zq_t, N>
-compute_neg_powers_of_ζ()
-{
+// Precomputed table of negated powers of ζ, used during polynomial interpolation.
+static constexpr auto ζ_NEG_EXP = []() {
   std::array<ml_dsa_field::zq_t, N> res;
 
   for (size_t i = 0; i < N; i++) {
@@ -69,20 +55,15 @@ compute_neg_powers_of_ζ()
   }
 
   return res;
-}
-
-// Precomputed table of negated powers of ζ, used when computing iNTT.
-constexpr auto ζ_NEG_EXP = compute_neg_powers_of_ζ();
+}();
 
-// Given a polynomial f with 256 coefficients over Z_q | q = 2^23 - 2^13 + 1,
-// this routine computes number theoretic transform using Cooley-Tukey
-// algorithm, producing polynomial f' s.t. its coefficients are placed in
-// bit-reversed order
+// Given a polynomial f with 256 coefficients over Z_q, this routine computes number theoretic transform using
+// Cooley-Tukey algorithm, producing polynomial f' s.t. its coefficients are placed in bit-reversed order.
 //
 // Note, this routine mutates input i.e. it's an in-place NTT implementation.
 //
-// Implementation inspired from
-// https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L95-L129
+// Implementation inspired from https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L95-L129.
+// See algorithm 35 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
 static inline constexpr void
 ntt(std::span<ml_dsa_field::zq_t, N> poly)
 {
@@ -105,15 +86,14 @@ ntt(std::span<ml_dsa_field::zq_t, N> poly)
   }
 }
 
-// Given a polynomial f with 256 coefficients over Z_q | q = 2^23 - 2^13 + 1,
-// s.t. its coefficients are placed in bit-reversed order, this routine computes
-// inverse number theoretic transform using Gentleman-Sande algorithm, producing
-// polynomial f' s.t. its coefficients are placed in standard order
+// Given a polynomial f with 256 coefficients over Z_q, s.t. its coefficients are placed in bit-reversed order, this
+// routine computes inverse number theoretic transform using Gentleman-Sande algorithm, producing polynomial f' s.t. its
+// coefficients are placed in standard order.
 //
 // Note, this routine mutates input i.e. it's an in-place iNTT implementation.
 //
-// Implementation inspired from
-// https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L131-L172
+// Implementation inspired from https://github.com/itzmeanjan/kyber/blob/3cd41a5/include/ntt.hpp#L131-L172.
+// See algorithm 36 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
 static inline constexpr void
 intt(std::span<ml_dsa_field::zq_t, N> poly)
 {
diff --git a/include/ml_dsa/internals/poly/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
index 9980436..5162774 100644
--- a/include/ml_dsa/internals/poly/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -13,9 +13,9 @@ namespace poly {
 // attempts to extract out high and low order bits from each of 256 coefficients
 template<size_t d>
 static inline constexpr void
-power2round(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
-            std::span<ml_dsa_field::zq_t, ntt::N> poly_hi,
-            std::span<ml_dsa_field::zq_t, ntt::N> poly_lo)
+power2round(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
+            std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly_hi,
+            std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly_lo)
   requires(ml_dsa_params::check_d(d))
 {
   for (size_t i = 0; i < poly.size(); i++) {
@@ -29,9 +29,9 @@ power2round(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
 // Given two degree-255 polynomials in NTT representation, this routine performs
 // element-wise multiplication over Z_q | q = 2^23 - 2^13 + 1
 static inline constexpr void
-mul(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
-    std::span<const ml_dsa_field::zq_t, ntt::N> polyb,
-    std::span<ml_dsa_field::zq_t, ntt::N> polyc)
+mul(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
+    std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyb,
+    std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> polyc)
 {
   for (size_t i = 0; i < polya.size(); i++) {
     polyc[i] = polya[i] * polyb[i];
@@ -42,7 +42,7 @@ mul(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
 // this routine subtracts each coefficient from x, so that they stay in [0, 2x].
 template<uint32_t x>
 static inline constexpr void
-sub_from_x(std::span<ml_dsa_field::zq_t, ntt::N> poly)
+sub_from_x(std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
 {
   constexpr ml_dsa_field::zq_t x_cap(x);
 
@@ -55,7 +55,7 @@ sub_from_x(std::span<ml_dsa_field::zq_t, ntt::N> poly)
 // using decompose routine ), while not mutating source polynomial
 template<uint32_t alpha>
 static inline constexpr void
-highbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field::zq_t, ntt::N> dst)
+highbits(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < src.size(); i++) {
     dst[i] = ml_dsa_reduction::highbits<alpha>(src[i]);
@@ -66,7 +66,7 @@ highbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field
 // using decompose routine ), while not mutating source polynomial
 template<uint32_t alpha>
 static inline constexpr void
-lowbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field::zq_t, ntt::N> dst)
+lowbits(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < src.size(); i++) {
     dst[i] = ml_dsa_reduction::lowbits<alpha>(src[i]);
@@ -78,7 +78,7 @@ lowbits(std::span<const ml_dsa_field::zq_t, ntt::N> src, std::span<ml_dsa_field:
 // See point `Sizes of elements` in section 2.1 of Dilithium specification
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 static inline constexpr ml_dsa_field::zq_t
-infinity_norm(std::span<const ml_dsa_field::zq_t, ntt::N> poly)
+infinity_norm(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
 {
   constexpr ml_dsa_field::zq_t qby2(ml_dsa_field::Q / 2);
   auto res = ml_dsa_field::zq_t::zero();
@@ -97,9 +97,9 @@ infinity_norm(std::span<const ml_dsa_field::zq_t, ntt::N> poly)
 // coefficient, using `make_hint` routine.
 template<uint32_t alpha>
 static inline constexpr void
-make_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
-          std::span<const ml_dsa_field::zq_t, ntt::N> polyb,
-          std::span<ml_dsa_field::zq_t, ntt::N> polyc)
+make_hint(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
+          std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyb,
+          std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> polyc)
 {
   for (size_t i = 0; i < polya.size(); i++) {
     polyc[i] = ml_dsa_reduction::make_hint<alpha>(polya[i], polyb[i]);
@@ -112,9 +112,9 @@ make_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polya,
 // z is another degree-255 polynomial with small coefficients.
 template<uint32_t alpha>
 static inline constexpr void
-use_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polyh,
-         std::span<const ml_dsa_field::zq_t, ntt::N> polyr,
-         std::span<ml_dsa_field::zq_t, ntt::N> polyrz)
+use_hint(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyh,
+         std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyr,
+         std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> polyrz)
 {
   for (size_t i = 0; i < polyh.size(); i++) {
     polyrz[i] = ml_dsa_reduction::use_hint<alpha>(polyh[i], polyr[i]);
@@ -124,7 +124,7 @@ use_hint(std::span<const ml_dsa_field::zq_t, ntt::N> polyh,
 // Given a degree-255 polynomial, this routine counts number of coefficients
 // having value 1.
 static inline constexpr size_t
-count_1s(std::span<const ml_dsa_field::zq_t, ntt::N> poly)
+count_1s(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
 {
   constexpr auto one = ml_dsa_field::zq_t::one();
   size_t cnt = 0;
@@ -140,7 +140,7 @@ count_1s(std::span<const ml_dsa_field::zq_t, ntt::N> poly)
 // leftwards, by d bits
 template<size_t d>
 static inline constexpr void
-shl(std::span<ml_dsa_field::zq_t, ntt::N> poly)
+shl(std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
 {
   for (size_t i = 0; i < poly.size(); i++) {
     poly[i] = poly[i] << d;
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index 78cc822..3b4ed25 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -10,28 +10,28 @@
 // Utility functions applied on vector of degree-255 polynomials
 namespace polyvec {
 
-using const_poly_t = std::span<const ml_dsa_field::zq_t, ntt::N>;
-using poly_t = std::span<ml_dsa_field::zq_t, ntt::N>;
+using const_poly_t = std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N>;
+using poly_t = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>;
 
 // Applies NTT on a vector ( of dimension k x 1 ) of degree-255 polynomials
 template<size_t k>
 static inline constexpr void
-ntt(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
+ntt(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    ntt::ntt(poly_t(vec.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    ml_dsa_ntt::ntt(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
 // Applies iNTT on a vector ( of dimension k x 1 ) of degree-255 polynomials
 template<size_t k>
 static inline constexpr void
-intt(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
+intt(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    ntt::intt(poly_t(vec.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    ml_dsa_ntt::intt(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -39,16 +39,16 @@ intt(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 // extracting out high and low order bits
 template<size_t k, size_t d>
 static inline constexpr void
-power2round(std::span<const ml_dsa_field::zq_t, k * ntt::N> poly,
-            std::span<ml_dsa_field::zq_t, k * ntt::N> poly_hi,
-            std::span<ml_dsa_field::zq_t, k * ntt::N> poly_lo)
+power2round(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly,
+            std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly_hi,
+            std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly_lo)
   requires(ml_dsa_params::check_d(d))
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::power2round<d>(const_poly_t(poly.subspan(off, ntt::N)),
-                         poly_t(poly_hi.subspan(off, ntt::N)),
-                         poly_t(poly_lo.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::power2round<d>(const_poly_t(poly.subspan(off, ml_dsa_ntt::N)),
+                         poly_t(poly_hi.subspan(off, ml_dsa_ntt::N)),
+                         poly_t(poly_lo.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -57,23 +57,23 @@ power2round(std::span<const ml_dsa_field::zq_t, k * ntt::N> poly,
 // routine attempts to multiply and compute resulting matrix
 template<size_t a_rows, size_t a_cols, size_t b_rows, size_t b_cols>
 static inline constexpr void
-matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ntt::N> a,
-                std::span<const ml_dsa_field::zq_t, b_rows * b_cols * ntt::N> b,
-                std::span<ml_dsa_field::zq_t, a_rows * b_cols * ntt::N> c)
+matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ml_dsa_ntt::N> a,
+                std::span<const ml_dsa_field::zq_t, b_rows * b_cols * ml_dsa_ntt::N> b,
+                std::span<ml_dsa_field::zq_t, a_rows * b_cols * ml_dsa_ntt::N> c)
   requires(ml_dsa_params::check_matrix_dim(a_cols, b_rows))
 {
-  std::array<ml_dsa_field::zq_t, ntt::N> tmp{};
+  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> tmp{};
   auto _tmp = std::span(tmp);
 
   for (size_t i = 0; i < a_rows; i++) {
     for (size_t j = 0; j < b_cols; j++) {
-      const size_t coff = (i * b_cols + j) * ntt::N;
+      const size_t coff = (i * b_cols + j) * ml_dsa_ntt::N;
 
       for (size_t k = 0; k < a_cols; k++) {
-        const size_t aoff = (i * a_cols + k) * ntt::N;
-        const size_t boff = (k * b_cols + j) * ntt::N;
+        const size_t aoff = (i * a_cols + k) * ml_dsa_ntt::N;
+        const size_t boff = (k * b_cols + j) * ml_dsa_ntt::N;
 
-        poly::mul(const_poly_t(a.subspan(aoff, ntt::N)), const_poly_t(b.subspan(boff, ntt::N)), _tmp);
+        poly::mul(const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), _tmp);
 
         for (size_t l = 0; l < _tmp.size(); l++) {
           c[coff + l] += _tmp[l];
@@ -88,12 +88,12 @@ matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ntt::N> a,
 // destination vector is mutated.
 template<size_t k>
 static inline constexpr void
-add_to(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
+add_to(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
+    const size_t off = i * ml_dsa_ntt::N;
 
-    for (size_t l = 0; l < ntt::N; l++) {
+    for (size_t l = 0; l < ml_dsa_ntt::N; l++) {
       dst[off + l] += src[off + l];
     }
   }
@@ -103,12 +103,12 @@ add_to(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_fie
 // routine negates each coefficient.
 template<size_t k>
 static inline constexpr void
-neg(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
+neg(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
+    const size_t off = i * ml_dsa_ntt::N;
 
-    for (size_t l = 0; l < ntt::N; l++) {
+    for (size_t l = 0; l < ml_dsa_ntt::N; l++) {
       vec[off + l] = -vec[off + l];
     }
   }
@@ -119,11 +119,11 @@ neg(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 // coefficients now stay in [0, 2x].
 template<size_t k, uint32_t x>
 static inline constexpr void
-sub_from_x(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
+sub_from_x(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::sub_from_x<x>(poly_t(vec.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::sub_from_x<x>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -132,16 +132,16 @@ sub_from_x(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
 // (k x 32 x sbw) -bytes destination array.
 template<size_t k, size_t sbw>
 static inline constexpr void
-encode(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<uint8_t, k * sbw * ntt::N / 8> dst)
+encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<uint8_t, k * sbw * ml_dsa_ntt::N / 8> dst)
 {
   // Byte length of degree-255 polynomial after serialization
-  constexpr size_t poly_blen = sbw * ntt::N / 8;
+  constexpr size_t poly_blen = sbw * ml_dsa_ntt::N / 8;
 
   for (size_t i = 0; i < k; i++) {
-    const size_t off0 = i * ntt::N;
+    const size_t off0 = i * ml_dsa_ntt::N;
     const size_t off1 = i * poly_blen;
 
-    bit_packing::encode<sbw>(const_poly_t(src.subspan(off0, ntt::N)),
+    bit_packing::encode<sbw>(const_poly_t(src.subspan(off0, ml_dsa_ntt::N)),
                              std::span<uint8_t, poly_blen>(dst.subspan(off1, poly_blen)));
   }
 }
@@ -151,17 +151,17 @@ encode(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<uint8_t, k
 // k x 1.
 template<size_t k, size_t sbw>
 static inline constexpr void
-decode(std::span<const uint8_t, k * sbw * ntt::N / 8> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
+decode(std::span<const uint8_t, k * sbw * ml_dsa_ntt::N / 8> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   // Byte length of degree-255 polynomial after serialization
-  constexpr size_t poly_blen = sbw * ntt::N / 8;
+  constexpr size_t poly_blen = sbw * ml_dsa_ntt::N / 8;
 
   for (size_t i = 0; i < k; i++) {
     const size_t off0 = i * poly_blen;
-    const size_t off1 = i * ntt::N;
+    const size_t off1 = i * ml_dsa_ntt::N;
 
     bit_packing::decode<sbw>(std::span<const uint8_t, poly_blen>(src.subspan(off0, poly_blen)),
-                             poly_t(dst.subspan(off1, ntt::N)));
+                             poly_t(dst.subspan(off1, ml_dsa_ntt::N)));
   }
 }
 
@@ -169,11 +169,12 @@ decode(std::span<const uint8_t, k * sbw * ntt::N / 8> src, std::span<ml_dsa_fiel
 // extracts out high order bits from each coefficient
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-highbits(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
+highbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
+         std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::highbits<alpha>(const_poly_t(src.subspan(off, ntt::N)), poly_t(dst.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::highbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)), poly_t(dst.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -181,11 +182,12 @@ highbits(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_f
 // extracts out low order bits from each coefficient, while not mutating operand
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-lowbits(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_field::zq_t, k * ntt::N> dst)
+lowbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
+        std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::lowbits<alpha>(const_poly_t(src.subspan(off, ntt::N)), poly_t(dst.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::lowbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)), poly_t(dst.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -195,13 +197,13 @@ lowbits(std::span<const ml_dsa_field::zq_t, k * ntt::N> src, std::span<ml_dsa_fi
 // representation, while not mutating operand polynomials.
 template<size_t k>
 static inline constexpr void
-mul_by_poly(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
-            std::span<const ml_dsa_field::zq_t, k * ntt::N> src_vec,
-            std::span<ml_dsa_field::zq_t, k * ntt::N> dst_vec)
+mul_by_poly(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
+            std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src_vec,
+            std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst_vec)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::mul(poly, const_poly_t(src_vec.subspan(off, ntt::N)), poly_t(dst_vec.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::mul(poly, const_poly_t(src_vec.subspan(off, ml_dsa_ntt::N)), poly_t(dst_vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -212,13 +214,13 @@ mul_by_poly(std::span<const ml_dsa_field::zq_t, ntt::N> poly,
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k>
 static inline constexpr ml_dsa_field::zq_t
-infinity_norm(std::span<const ml_dsa_field::zq_t, k * ntt::N> vec)
+infinity_norm(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   auto res = ml_dsa_field::zq_t::zero();
 
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    res = std::max(res, poly::infinity_norm(const_poly_t(vec.subspan(off, ntt::N))));
+    const size_t off = i * ml_dsa_ntt::N;
+    res = std::max(res, poly::infinity_norm(const_poly_t(vec.subspan(off, ml_dsa_ntt::N))));
   }
 
   return res;
@@ -228,15 +230,15 @@ infinity_norm(std::span<const ml_dsa_field::zq_t, k * ntt::N> vec)
 // routine computes hint bit for each coefficient, using `make_hint` routine.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-make_hint(std::span<const ml_dsa_field::zq_t, k * ntt::N> polya,
-          std::span<const ml_dsa_field::zq_t, k * ntt::N> polyb,
-          std::span<ml_dsa_field::zq_t, k * ntt::N> polyc)
+make_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polya,
+          std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyb,
+          std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyc)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::make_hint<alpha>(const_poly_t(polya.subspan(off, ntt::N)),
-                           const_poly_t(polyb.subspan(off, ntt::N)),
-                           poly_t(polyc.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::make_hint<alpha>(const_poly_t(polya.subspan(off, ml_dsa_ntt::N)),
+                           const_poly_t(polyb.subspan(off, ml_dsa_ntt::N)),
+                           poly_t(polyc.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -245,15 +247,15 @@ make_hint(std::span<const ml_dsa_field::zq_t, k * ntt::N> polya,
 // provided.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-use_hint(std::span<const ml_dsa_field::zq_t, k * ntt::N> polyh,
-         std::span<const ml_dsa_field::zq_t, k * ntt::N> polyr,
-         std::span<ml_dsa_field::zq_t, k * ntt::N> polyrz)
+use_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyh,
+         std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyr,
+         std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyrz)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::use_hint<alpha>(const_poly_t(polyh.subspan(off, ntt::N)),
-                          const_poly_t(polyr.subspan(off, ntt::N)),
-                          poly_t(polyrz.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::use_hint<alpha>(const_poly_t(polyh.subspan(off, ml_dsa_ntt::N)),
+                          const_poly_t(polyr.subspan(off, ml_dsa_ntt::N)),
+                          poly_t(polyrz.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -261,13 +263,13 @@ use_hint(std::span<const ml_dsa_field::zq_t, k * ntt::N> polyh,
 // counts number of coefficients having value 1.
 template<size_t k>
 static inline constexpr size_t
-count_1s(std::span<const ml_dsa_field::zq_t, k * ntt::N> vec)
+count_1s(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   size_t cnt = 0;
 
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    cnt += poly::count_1s(const_poly_t(vec.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    cnt += poly::count_1s(const_poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 
   return cnt;
@@ -277,11 +279,11 @@ count_1s(std::span<const ml_dsa_field::zq_t, k * ntt::N> vec)
 // shifts each coefficient leftwards by d bits
 template<size_t k, size_t d>
 static inline constexpr void
-shl(std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
+shl(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
-    poly::shl<d>(poly_t(vec.subspan(off, ntt::N)));
+    const size_t off = i * ml_dsa_ntt::N;
+    poly::shl<d>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index 75fed20..f2c614f 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -13,7 +13,7 @@
 // Sampling polynomials/ vector of polynomials related routines
 namespace sampling {
 
-using poly_t = std::span<ml_dsa_field::zq_t, ntt::N>;
+using poly_t = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>;
 
 // Given a 32 -bytes uniform seed ρ, a k x l matrix is deterministically sampled ( using the method of rejection
 // sampling ), where each coefficient is a degree-255 polynomial ∈ R_q | q = 2^23 - 2^13 + 1
@@ -24,7 +24,7 @@ using poly_t = std::span<ml_dsa_field::zq_t, ntt::N>;
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<size_t k, size_t l>
 static inline constexpr void
-expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l * ntt::N> mat)
+expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> mat)
 {
   std::array<uint8_t, rho.size() + 2> msg{};
   auto _msg = std::span(msg);
@@ -33,7 +33,7 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l *
 
   for (size_t i = 0; i < k; i++) {
     for (size_t j = 0; j < l; j++) {
-      const size_t off = (i * l + j) * ntt::N;
+      const size_t off = (i * l + j) * ml_dsa_ntt::N;
       const uint16_t nonce = static_cast<uint16_t>(i * 256ul + j);
 
       msg[32] = static_cast<uint8_t>(nonce >> 0);
@@ -47,10 +47,10 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l *
       auto _buf = std::span(buf);
 
       size_t n = 0;
-      while (n < ntt::N) {
+      while (n < ml_dsa_ntt::N) {
         hasher.squeeze(_buf);
 
-        for (size_t boff = 0; (boff < _buf.size()) && (n < ntt::N); boff += 3) {
+        for (size_t boff = 0; (boff < _buf.size()) && (n < ml_dsa_ntt::N); boff += 3) {
           const uint32_t t0 = static_cast<uint32_t>(_buf[boff + 2] & 0b01111111);
           const uint32_t t1 = static_cast<uint32_t>(_buf[boff + 1]);
           const uint32_t t2 = static_cast<uint32_t>(_buf[boff + 0]);
@@ -80,7 +80,7 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l *
 // specification https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t η, size_t k, uint16_t nonce>
 static inline constexpr void
-expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k * ntt::N> vec)
+expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   requires(ml_dsa_params::check_η(η) && ml_dsa_params::check_nonce(nonce))
 {
   constexpr auto eta_ = ml_dsa_field::zq_t(η);
@@ -91,7 +91,7 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
   std::memcpy(_msg.template subspan<0, rho_prime.size()>().data(), rho_prime.data(), rho_prime.size());
 
   for (size_t i = 0; i < k; i++) {
-    const size_t off = i * ntt::N;
+    const size_t off = i * ml_dsa_ntt::N;
     const uint16_t nonce_ = nonce + static_cast<uint16_t>(i);
 
     msg[64] = static_cast<uint8_t>(nonce_ >> 0);
@@ -105,10 +105,10 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
     auto _buf = std::span(buf);
 
     size_t n = 0;
-    while (n < ntt::N) {
+    while (n < ml_dsa_ntt::N) {
       hasher.squeeze(_buf);
 
-      for (size_t boff = 0; (boff < _buf.size()) && (n < ntt::N); boff++) {
+      for (size_t boff = 0; (boff < _buf.size()) && (n < ml_dsa_ntt::N); boff++) {
         const uint8_t t0 = _buf[boff] & 0x0f;
         const uint8_t t1 = _buf[boff] >> 4;
 
@@ -120,7 +120,7 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
           n += flg0 * 1;
 
           const uint32_t t3 = static_cast<uint32_t>(t1 % 5);
-          const bool flg1 = (t1 < 15) & (n < ntt::N);
+          const bool flg1 = (t1 < 15) & (n < ml_dsa_ntt::N);
           const ml_dsa_field::zq_t br[]{ vec[off], eta_ - ml_dsa_field::zq_t(t3) };
 
           vec[off + flg1 * n] = br[flg1];
@@ -131,7 +131,7 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
           vec[off + n] = eta_ - ml_dsa_field::zq_t(static_cast<uint32_t>(t0));
           n += flg0 * 1;
 
-          const bool flg1 = (t1 < 9) & (n < ntt::N);
+          const bool flg1 = (t1 < 9) & (n < ml_dsa_ntt::N);
           const auto t2 = eta_ - ml_dsa_field::zq_t(static_cast<uint32_t>(t1));
           const ml_dsa_field::zq_t br[]{ vec[off], t2 };
 
@@ -152,13 +152,15 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t γ1, size_t l>
 static inline constexpr void
-expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<ml_dsa_field::zq_t, l * ntt::N> vec)
+expand_mask(std::span<const uint8_t, 64> seed,
+            const uint16_t nonce,
+            std::span<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> vec)
   requires(ml_dsa_params::check_γ1(γ1))
 {
   constexpr size_t gbw = std::bit_width(2 * γ1 - 1u);
 
   std::array<uint8_t, seed.size() + 2> msg{};
-  std::array<uint8_t, ntt::N * gbw / 8> buf{};
+  std::array<uint8_t, ml_dsa_ntt::N * gbw / 8> buf{};
 
   auto _msg = std::span(msg);
   auto _buf = std::span(buf);
@@ -166,7 +168,7 @@ expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<m
   std::memcpy(_msg.template subspan<0, seed.size()>().data(), seed.data(), seed.size());
 
   for (size_t i = 0; i < l; i++) {
-    const size_t off = i * ntt::N;
+    const size_t off = i * ml_dsa_ntt::N;
     const uint16_t nonce_ = nonce + static_cast<uint16_t>(i);
 
     msg[64] = static_cast<uint8_t>(nonce_ >> 0);
@@ -177,8 +179,8 @@ expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<m
     hasher.finalize();
     hasher.squeeze(_buf);
 
-    bit_packing::decode<gbw>(buf, poly_t(vec.subspan(off, ntt::N)));
-    poly::sub_from_x<γ1>(poly_t(vec.subspan(off, ntt::N)));
+    bit_packing::decode<gbw>(buf, poly_t(vec.subspan(off, ml_dsa_ntt::N)));
+    poly::sub_from_x<γ1>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -190,7 +192,7 @@ expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<m
 // https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
 template<uint32_t τ>
 static inline constexpr void
-sample_in_ball(std::span<const uint8_t, 32> seed, std::span<ml_dsa_field::zq_t, ntt::N> poly)
+sample_in_ball(std::span<const uint8_t, 32> seed, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   requires(ml_dsa_params::check_τ(τ))
 {
   std::array<uint8_t, 8> tau_bits{};
@@ -204,13 +206,13 @@ sample_in_ball(std::span<const uint8_t, 32> seed, std::span<ml_dsa_field::zq_t,
   hasher.finalize();
   hasher.squeeze(_tau_bits);
 
-  constexpr size_t frm = ntt::N - τ;
+  constexpr size_t frm = ml_dsa_ntt::N - τ;
   size_t i = frm;
 
-  while (i < ntt::N) {
+  while (i < ml_dsa_ntt::N) {
     hasher.squeeze(_buf);
 
-    for (size_t off = 0; (off < _buf.size()) && (i < ntt::N); off++) {
+    for (size_t off = 0; (off < _buf.size()) && (i < ml_dsa_ntt::N); off++) {
       const size_t tau_bit = i - frm;
 
       const size_t tau_byte_off = tau_bit >> 3;
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index 97a18ce..96b633f 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -17,7 +17,7 @@ do_one_computation(uint8_t* const data)
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<ml_dsa_field::zq_t, dilithium2::l * ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, dilithium2::l * ml_dsa_ntt::N> vec{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index d7193fc..1377aba 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -17,7 +17,7 @@ do_one_computation(uint8_t* const data)
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<ml_dsa_field::zq_t, dilithium3::l * ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, dilithium3::l * ml_dsa_ntt::N> vec{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index 9763c6c..f557610 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -17,7 +17,7 @@ do_one_computation(uint8_t* const data)
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<ml_dsa_field::zq_t, dilithium5::l * ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, dilithium5::l * ml_dsa_ntt::N> vec{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index 4ba8c5a..c0305dc 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -13,19 +13,19 @@ test_encode_decode()
   requires(ml_dsa_params::check_sbw(sbw))
 {
   // Encoded byte length of the polynomial
-  constexpr size_t enc_len = (sbw * ntt::N) / 8;
+  constexpr size_t enc_len = (sbw * ml_dsa_ntt::N) / 8;
 
-  std::vector<ml_dsa_field::zq_t> polya(ntt::N, 0);
-  std::vector<ml_dsa_field::zq_t> polyb(ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> polya(ml_dsa_ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> polyb(ml_dsa_ntt::N, 0);
   std::vector<uint8_t> arr(enc_len, 0);
 
-  auto _polya = std::span<ml_dsa_field::zq_t, ntt::N>(polya);
-  auto _polyb = std::span<ml_dsa_field::zq_t, ntt::N>(polyb);
+  auto _polya = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>(polya);
+  auto _polyb = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>(polyb);
   auto _arr = std::span<uint8_t, enc_len>(arr);
 
   ml_dsa_prng::prng_t<256> prng;
 
-  for (size_t i = 0; i < ntt::N; i++) {
+  for (size_t i = 0; i < ml_dsa_ntt::N; i++) {
     _polya[i] = ml_dsa_field::zq_t::random(prng);
   }
 
@@ -35,7 +35,7 @@ test_encode_decode()
   constexpr size_t mask = (1u << sbw) - 1u;
   bool flg = false;
 
-  for (size_t i = 0; i < ntt::N; i++) {
+  for (size_t i = 0; i < ml_dsa_ntt::N; i++) {
     flg |= static_cast<bool>((_polya[i].raw() & mask) ^ _polyb[i].raw());
   }
 
@@ -57,7 +57,7 @@ TEST(Dilithium, PolynomialEncodingDecoding)
 // coefficients set to 1.
 template<size_t k, size_t ω>
 void
-generate_random_hint_bits(std::span<ml_dsa_field::zq_t, k * ntt::N> poly)
+generate_random_hint_bits(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly)
 {
   std::fill(poly.begin(), poly.end(), ml_dsa_field::zq_t::zero());
 
@@ -83,15 +83,15 @@ test_encode_decode_hint_bits()
   // Encoded byte length of the hint polynomial
   constexpr size_t enc_len = ω + k;
 
-  std::vector<ml_dsa_field::zq_t> h0(k * ntt::N, 0);
-  std::vector<ml_dsa_field::zq_t> h1(k * ntt::N, 0);
-  std::vector<ml_dsa_field::zq_t> h2(k * ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> h0(k * ml_dsa_ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> h1(k * ml_dsa_ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> h2(k * ml_dsa_ntt::N, 0);
   std::vector<uint8_t> arr0(enc_len, 0);
   std::vector<uint8_t> arr1(enc_len, 0);
 
-  auto _h0 = std::span<ml_dsa_field::zq_t, k * ntt::N>(h0);
-  auto _h1 = std::span<ml_dsa_field::zq_t, k * ntt::N>(h1);
-  auto _h2 = std::span<ml_dsa_field::zq_t, k * ntt::N>(h2);
+  auto _h0 = std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N>(h0);
+  auto _h1 = std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N>(h1);
+  auto _h2 = std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N>(h2);
   auto _arr0 = std::span<uint8_t, enc_len>(arr0);
   auto _arr1 = std::span<uint8_t, enc_len>(arr1);
 
@@ -106,7 +106,7 @@ test_encode_decode_hint_bits()
 
   bool flg = true;
 
-  for (size_t i = 0; i < k * ntt::N; i++) {
+  for (size_t i = 0; i < k * ml_dsa_ntt::N; i++) {
     flg &= (_h0[i] == _h1[i]);
   }
 
diff --git a/tests/test_sampling.cpp b/tests/test_sampling.cpp
index 7c966f0..f278dad 100644
--- a/tests/test_sampling.cpp
+++ b/tests/test_sampling.cpp
@@ -9,10 +9,10 @@ static void
 test_sample_in_ball()
 {
   std::array<uint8_t, 32> seed{};
-  std::vector<ml_dsa_field::zq_t> poly(ntt::N, 0);
+  std::vector<ml_dsa_field::zq_t> poly(ml_dsa_ntt::N, 0);
 
   auto _seed = std::span(seed);
-  auto _poly = std::span<ml_dsa_field::zq_t, ntt::N>(poly);
+  auto _poly = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>(poly);
 
   ml_dsa_prng::prng_t<256> prng;
 

From 3c257606982133fef3563914aca1450fa7ebd66c Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sat, 20 Jul 2024 16:10:25 +0400
Subject: [PATCH 17/37] Refactor polynomial arithmetic functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/poly/poly.hpp     | 42 +++++++++-------------
 include/ml_dsa/internals/poly/polyvec.hpp  | 37 ++++++++++---------
 include/ml_dsa/internals/poly/sampling.hpp |  2 +-
 3 files changed, 37 insertions(+), 44 deletions(-)

diff --git a/include/ml_dsa/internals/poly/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
index 5162774..2c2c8d3 100644
--- a/include/ml_dsa/internals/poly/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -5,12 +5,10 @@
 #include "ntt.hpp"
 #include <algorithm>
 
-// Degree-255 polynomial utility functions for Dilithium Post-Quantum Digital
-// Signature Algorithm
-namespace poly {
+// Degree-255 polynomial arithmetic
+namespace ml_dsa_poly {
 
-// Given a degree-255 polynomial over Z_q | q = 2^23 - 2^13 + 1, this routine
-// attempts to extract out high and low order bits from each of 256 coefficients
+// Given a degree-255 polynomial, this routine extracts out high and low order bits from each coefficient.
 template<size_t d>
 static inline constexpr void
 power2round(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
@@ -26,8 +24,7 @@ power2round(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
   }
 }
 
-// Given two degree-255 polynomials in NTT representation, this routine performs
-// element-wise multiplication over Z_q | q = 2^23 - 2^13 + 1
+// Given two degree-255 polynomials in NTT representation, this routine performs element-wise multiplication over Z_q.
 static inline constexpr void
 mul(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
     std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyb,
@@ -38,8 +35,8 @@ mul(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
   }
 }
 
-// Given a degree-255 polynomial, which has all of its coefficients in [-x, x],
-// this routine subtracts each coefficient from x, so that they stay in [0, 2x].
+// Given a degree-255 polynomial, which has all of its coefficients in [-x, x], this routine subtracts each coefficient
+// from x, so that they stay in [0, 2x].
 template<uint32_t x>
 static inline constexpr void
 sub_from_x(std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
@@ -51,8 +48,7 @@ sub_from_x(std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   }
 }
 
-// Given a degree-255 polynomial, this routine extracts out high order bits (
-// using decompose routine ), while not mutating source polynomial
+// Given a degree-255 polynomial, this routine extracts out high order bits.
 template<uint32_t alpha>
 static inline constexpr void
 highbits(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> dst)
@@ -62,8 +58,7 @@ highbits(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> src, std::span<ml_ds
   }
 }
 
-// Given a degree-255 polynomial, this routine extracts out low order bits (
-// using decompose routine ), while not mutating source polynomial
+// Given a degree-255 polynomial, this routine extracts out low order bits.
 template<uint32_t alpha>
 static inline constexpr void
 lowbits(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> dst)
@@ -73,10 +68,9 @@ lowbits(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> src, std::span<ml_dsa
   }
 }
 
-// Computes infinity norm of a degree-255 polynomial
+// Computes infinity norm of a degree-255 polynomial.
 //
-// See point `Sizes of elements` in section 2.1 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See line 462 of ML-DSA draft standard https://doi.org/10.6028/NIST.FIPS.204.ipd.
 static inline constexpr ml_dsa_field::zq_t
 infinity_norm(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
 {
@@ -93,8 +87,7 @@ infinity_norm(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   return res;
 }
 
-// Given two degree-255 polynomials, this routine computes hint bit for each
-// coefficient, using `make_hint` routine.
+// Given two degree-255 polynomials, this routine computes hint bit for each coefficient.
 template<uint32_t alpha>
 static inline constexpr void
 make_hint(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
@@ -106,10 +99,9 @@ make_hint(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
   }
 }
 
-// Given a hint bit polynomial ( of degree-255 ) and another degree-255
-// polynomial r with arbitrary coefficients ∈ Z_q, this routine recovers high
-// order bits of r + z s.t. hint bit was computed using `make_hint` routine and
-// z is another degree-255 polynomial with small coefficients.
+// Given a hint bit polynomial (of degree-255) and another degree-255 polynomial r with arbitrary coefficients ∈
+// Z_q, this routine recovers high order bits of r + z s.t. hint bit was computed using `make_hint` routine and z is
+// another degree-255 polynomial with small coefficients.
 template<uint32_t alpha>
 static inline constexpr void
 use_hint(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyh,
@@ -121,8 +113,7 @@ use_hint(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyh,
   }
 }
 
-// Given a degree-255 polynomial, this routine counts number of coefficients
-// having value 1.
+// Given a degree-255 polynomial, this routine counts number of coefficients having value 1.
 static inline constexpr size_t
 count_1s(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
 {
@@ -136,8 +127,7 @@ count_1s(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   return cnt;
 }
 
-// Given a degree-255 polynomial, this routine shifts each coefficient
-// leftwards, by d bits
+// Given a degree-255 polynomial, this routine shifts each coefficient leftwards, by d bits.
 template<size_t d>
 static inline constexpr void
 shl(std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index 3b4ed25..3c77ef6 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -46,9 +46,9 @@ power2round(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::power2round<d>(const_poly_t(poly.subspan(off, ml_dsa_ntt::N)),
-                         poly_t(poly_hi.subspan(off, ml_dsa_ntt::N)),
-                         poly_t(poly_lo.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::power2round<d>(const_poly_t(poly.subspan(off, ml_dsa_ntt::N)),
+                                poly_t(poly_hi.subspan(off, ml_dsa_ntt::N)),
+                                poly_t(poly_lo.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -73,7 +73,8 @@ matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ml_dsa_ntt
         const size_t aoff = (i * a_cols + k) * ml_dsa_ntt::N;
         const size_t boff = (k * b_cols + j) * ml_dsa_ntt::N;
 
-        poly::mul(const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), _tmp);
+        ml_dsa_poly::mul(
+          const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), _tmp);
 
         for (size_t l = 0; l < _tmp.size(); l++) {
           c[coff + l] += _tmp[l];
@@ -123,7 +124,7 @@ sub_from_x(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::sub_from_x<x>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::sub_from_x<x>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -174,7 +175,8 @@ highbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::highbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)), poly_t(dst.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::highbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)),
+                                 poly_t(dst.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -187,7 +189,7 @@ lowbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::lowbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)), poly_t(dst.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::lowbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)), poly_t(dst.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -203,7 +205,8 @@ mul_by_poly(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::mul(poly, const_poly_t(src_vec.subspan(off, ml_dsa_ntt::N)), poly_t(dst_vec.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::mul(
+      poly, const_poly_t(src_vec.subspan(off, ml_dsa_ntt::N)), poly_t(dst_vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -220,7 +223,7 @@ infinity_norm(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    res = std::max(res, poly::infinity_norm(const_poly_t(vec.subspan(off, ml_dsa_ntt::N))));
+    res = std::max(res, ml_dsa_poly::infinity_norm(const_poly_t(vec.subspan(off, ml_dsa_ntt::N))));
   }
 
   return res;
@@ -236,9 +239,9 @@ make_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polya,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::make_hint<alpha>(const_poly_t(polya.subspan(off, ml_dsa_ntt::N)),
-                           const_poly_t(polyb.subspan(off, ml_dsa_ntt::N)),
-                           poly_t(polyc.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::make_hint<alpha>(const_poly_t(polya.subspan(off, ml_dsa_ntt::N)),
+                                  const_poly_t(polyb.subspan(off, ml_dsa_ntt::N)),
+                                  poly_t(polyc.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -253,9 +256,9 @@ use_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyh,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::use_hint<alpha>(const_poly_t(polyh.subspan(off, ml_dsa_ntt::N)),
-                          const_poly_t(polyr.subspan(off, ml_dsa_ntt::N)),
-                          poly_t(polyrz.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::use_hint<alpha>(const_poly_t(polyh.subspan(off, ml_dsa_ntt::N)),
+                                 const_poly_t(polyr.subspan(off, ml_dsa_ntt::N)),
+                                 poly_t(polyrz.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -269,7 +272,7 @@ count_1s(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    cnt += poly::count_1s(const_poly_t(vec.subspan(off, ml_dsa_ntt::N)));
+    cnt += ml_dsa_poly::count_1s(const_poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 
   return cnt;
@@ -283,7 +286,7 @@ shl(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    poly::shl<d>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::shl<d>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index f2c614f..9f6e9cd 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -180,7 +180,7 @@ expand_mask(std::span<const uint8_t, 64> seed,
     hasher.squeeze(_buf);
 
     bit_packing::decode<gbw>(buf, poly_t(vec.subspan(off, ml_dsa_ntt::N)));
-    poly::sub_from_x<γ1>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::sub_from_x<γ1>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 

From 2fe2b0da1bee21d36f1c3ba4bdae780249380e9a Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sat, 20 Jul 2024 16:31:01 +0400
Subject: [PATCH 18/37] Refactor bit-packing operations

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/dilithium.hpp        |   4 +-
 include/ml_dsa/internals/poly/bit_packing.hpp | 115 ++++++++----------
 include/ml_dsa/internals/poly/polyvec.hpp     |   8 +-
 include/ml_dsa/internals/poly/sampling.hpp    |   2 +-
 tests/dudect/test_dilithium2.cpp              |   4 +-
 tests/dudect/test_dilithium3.cpp              |   4 +-
 tests/dudect/test_dilithium5.cpp              |   4 +-
 tests/test_bit_packing.cpp                    |  10 +-
 8 files changed, 72 insertions(+), 79 deletions(-)

diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index a1825b0..8599d76 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -299,7 +299,7 @@ sign(std::span<const uint8_t, 32> rnd,
   std::memcpy(sig.template subspan<sigoff0, sigoff1 - sigoff0>().data(), c_tilda.data(), c_tilda.size());
   polyvec::sub_from_x<l, γ1>(z);
   polyvec::encode<l, gamma1_bw>(z, sig.template subspan<sigoff1, sigoff2 - sigoff1>());
-  bit_packing::encode_hint_bits<k, ω>(h, sig.template subspan<sigoff2, sigoff3 - sigoff2>());
+  ml_dsa_bit_packing::encode_hint_bits<k, ω>(h, sig.template subspan<sigoff2, sigoff3 - sigoff2>());
 }
 
 // Given a Dilithium public key, message bytes and serialized signature, this
@@ -361,7 +361,7 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
 
   polyvec::decode<l, gamma1_bw>(sig.template subspan<sigoff1, sigoff2 - sigoff1>(), z);
   polyvec::sub_from_x<l, γ1>(z);
-  const bool failed = bit_packing::decode_hint_bits<k, ω>(sig.template subspan<sigoff2, sigoff3 - sigoff2>(), h);
+  const bool failed = ml_dsa_bit_packing::decode_hint_bits<k, ω>(sig.template subspan<sigoff2, sigoff3 - sigoff2>(), h);
 
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w0{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w1{};
diff --git a/include/ml_dsa/internals/poly/bit_packing.hpp b/include/ml_dsa/internals/poly/bit_packing.hpp
index 166fe6a..ea11c7f 100644
--- a/include/ml_dsa/internals/poly/bit_packing.hpp
+++ b/include/ml_dsa/internals/poly/bit_packing.hpp
@@ -3,30 +3,28 @@
 #include "ml_dsa/internals/utility/params.hpp"
 #include "ntt.hpp"
 #include <algorithm>
-#include <cstring>
+#include <limits>
 
-// Bit packing/ unpacking related utility functions for Dilithium Post-Quantum
-// Digital Signature Algorithm
-namespace bit_packing {
+// Bit packing/ unpacking -related utility functions
+namespace ml_dsa_bit_packing {
 
-// Given a degree-255 polynomial, where significant portion of each ( total 256
-// of them ) coefficient ∈ [0, 2^sbw), this routine serializes the polynomial to
-// a byte array of length 32 * sbw -bytes
+// Given a degree-255 polynomial, where significant portion of each coefficient ∈ [0, 2^sbw), this
+// routine serializes the polynomial to a byte array of length 32 * sbw -bytes.
 //
-// See section 5.2 ( which describes bit packing ) of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 10 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t sbw>
 static inline constexpr void
-encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_t, ml_dsa_ntt::N * sbw / 8> arr)
+encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
+       std::span<uint8_t, (ml_dsa_ntt::N * sbw) / std::numeric_limits<uint8_t>::digits> arr)
   requires(ml_dsa_params::check_sbw(sbw))
 {
-  std::memset(arr.data(), 0, arr.size());
+  std::fill(arr.begin(), arr.end(), 0);
 
   if constexpr (sbw == 3) {
     constexpr size_t itr_cnt = poly.size() >> 3;
     constexpr uint32_t mask3 = 0b111u;
-    constexpr uint32_t mask2 = 0b11u;
-    constexpr uint32_t mask1 = 0b1u;
+    constexpr uint32_t mask2 = mask3 >> 1;
+    constexpr uint32_t mask1 = mask2 >> 1;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 3;
@@ -57,8 +55,8 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_
   } else if constexpr (sbw == 6) {
     constexpr size_t itr_cnt = poly.size() >> 2;
     constexpr uint32_t mask6 = 0b111111u;
-    constexpr uint32_t mask4 = 0b1111u;
-    constexpr uint32_t mask2 = 0b11u;
+    constexpr uint32_t mask4 = mask6 >> 2;
+    constexpr uint32_t mask2 = mask4 >> 2;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 2;
@@ -74,8 +72,8 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_
   } else if constexpr (sbw == 10) {
     constexpr size_t itr_cnt = poly.size() >> 2;
     constexpr uint32_t mask6 = 0b111111u;
-    constexpr uint32_t mask4 = 0b1111u;
-    constexpr uint32_t mask2 = 0b11u;
+    constexpr uint32_t mask4 = mask6 >> 2;
+    constexpr uint32_t mask2 = mask4 >> 2;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 2;
@@ -93,12 +91,12 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_
   } else if constexpr (sbw == 13) {
     constexpr size_t itr_cnt = poly.size() >> 3;
     constexpr uint32_t mask7 = 0b1111111u;
-    constexpr uint32_t mask6 = 0b111111u;
-    constexpr uint32_t mask5 = 0b11111u;
-    constexpr uint32_t mask4 = 0b1111u;
-    constexpr uint32_t mask3 = 0b111u;
-    constexpr uint32_t mask2 = 0b11u;
-    constexpr uint32_t mask1 = 0b1u;
+    constexpr uint32_t mask6 = mask7 >> 1;
+    constexpr uint32_t mask5 = mask6 >> 1;
+    constexpr uint32_t mask4 = mask5 >> 1;
+    constexpr uint32_t mask3 = mask4 >> 1;
+    constexpr uint32_t mask2 = mask3 >> 1;
+    constexpr uint32_t mask1 = mask2 >> 1;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 3;
@@ -128,8 +126,8 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_
   } else if constexpr (sbw == 18) {
     constexpr size_t itr_cnt = poly.size() >> 2;
     constexpr uint32_t mask6 = 0b111111u;
-    constexpr uint32_t mask4 = 0b1111u;
-    constexpr uint32_t mask2 = 0b11u;
+    constexpr uint32_t mask4 = mask6 >> 2;
+    constexpr uint32_t mask2 = mask4 >> 2;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 2;
@@ -177,28 +175,23 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_
   }
 }
 
-// Given a byte array of length 32 * sbw -bytes, this routine attempts to
-// extract out 256 coefficients of degree-255 polynomial s.t. significant
-// portion of each coefficient ∈ [0, 2^sbw)
+// Given a byte array of length 32 * sbw -bytes, this routine extracts out 256 coefficients of a degree-255
+// polynomial s.t. significant portion of each coefficient ∈ [0, 2^sbw).
 //
-// This is just the opposite of above `encode` routine. You may want to see
-// Dilithium specification's section 5.2
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// This is just the opposite of above `encode` routine.
+// See algorithm 12 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t sbw>
 static inline constexpr void
 decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   requires(ml_dsa_params::check_sbw(sbw))
 {
-  // Instead of std::memset use following loop to avoid compiler warnings.
-  for (size_t i = 0; i < poly.size(); i++) {
-    poly[i] = ml_dsa_field::zq_t::zero();
-  }
+  std::fill(poly.begin(), poly.end(), ml_dsa_field::zq_t::zero());
 
   if constexpr (sbw == 3) {
     constexpr size_t itr_cnt = poly.size() >> 3;
     constexpr uint8_t mask3 = 0b111;
-    constexpr uint8_t mask2 = 0b11;
-    constexpr uint8_t mask1 = 0b1;
+    constexpr uint8_t mask2 = mask3 >> 1;
+    constexpr uint8_t mask1 = mask2 >> 1;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 3;
@@ -227,8 +220,8 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
   } else if constexpr (sbw == 6) {
     constexpr size_t itr_cnt = poly.size() >> 2;
     constexpr uint8_t mask6 = 0b111111;
-    constexpr uint8_t mask4 = 0b1111;
-    constexpr uint8_t mask2 = 0b11;
+    constexpr uint8_t mask4 = mask6 >> 2;
+    constexpr uint8_t mask2 = mask4 >> 2;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 2;
@@ -242,8 +235,8 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
   } else if constexpr (sbw == 10) {
     constexpr size_t itr_cnt = poly.size() >> 2;
     constexpr uint8_t mask6 = 0b111111;
-    constexpr uint8_t mask4 = 0b1111;
-    constexpr uint8_t mask2 = 0b11;
+    constexpr uint8_t mask4 = mask6 >> 2;
+    constexpr uint8_t mask2 = mask4 >> 2;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 2;
@@ -257,12 +250,12 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
   } else if constexpr (sbw == 13) {
     constexpr size_t itr_cnt = poly.size() >> 3;
     constexpr uint8_t mask7 = 0b1111111;
-    constexpr uint8_t mask6 = 0b111111;
-    constexpr uint8_t mask5 = 0b11111;
-    constexpr uint8_t mask4 = 0b1111;
-    constexpr uint8_t mask3 = 0b111;
-    constexpr uint8_t mask2 = 0b11;
-    constexpr uint8_t mask1 = 0b1;
+    constexpr uint8_t mask6 = mask7 >> 1;
+    constexpr uint8_t mask5 = mask6 >> 1;
+    constexpr uint8_t mask4 = mask5 >> 1;
+    constexpr uint8_t mask3 = mask4 >> 1;
+    constexpr uint8_t mask2 = mask3 >> 1;
+    constexpr uint8_t mask1 = mask2 >> 1;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 3;
@@ -284,8 +277,8 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
   } else if constexpr (sbw == 18) {
     constexpr size_t itr_cnt = poly.size() >> 2;
     constexpr uint8_t mask6 = 0b111111;
-    constexpr uint8_t mask4 = 0b1111;
-    constexpr uint8_t mask2 = 0b11;
+    constexpr uint8_t mask4 = mask6 >> 2;
+    constexpr uint8_t mask2 = mask4 >> 2;
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t poff = i << 2;
@@ -327,18 +320,18 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
   }
 }
 
-// Given a vector of hint bits ( of dimension k x 1 ), this routine encodes hint
-// bits into (ω + k) -bytes, following the description in section 5.4 ( see
-// point `Signature` on page 21 ) of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// Given a vector of hint bits ( of dimension k x 1 ), this routine encodes hint bits into (ω + k) -bytes.
+//
+// See algorithm 14 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t ω>
 static inline constexpr void
 encode_hint_bits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h, std::span<uint8_t, ω + k> arr)
 {
-  constexpr auto zero = ml_dsa_field::zq_t::zero();
-  std::memset(arr.data(), 0, arr.size());
+  std::fill(arr.begin(), arr.end(), 0);
 
+  constexpr auto zero = ml_dsa_field::zq_t::zero();
   size_t idx = 0;
+
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
 
@@ -354,13 +347,13 @@ encode_hint_bits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h, std::
   }
 }
 
-// Given a serialized byte array holding hint bits, this routine unpacks hint
-// bits into a vector ( of dimension k x 1 ) of degree-255 polynomials s.t. <= ω
-// many hint bits are set.
+// Given a serialized byte array holding hint bits, this routine unpacks hint bits into a vector ( of dimension k x 1 )
+// of degree-255 polynomials s.t. <= ω many hint bits are set.
+//
+// Returns boolean result denoting status of decoding of byte serialized hint bits.
+// For example, say return value is true, it denotes that decoding has failed.
 //
-// Returns boolean result denoting status of decoding of byte serialized hint
-// bits. For example, say return value is true, it denotes that decoding has
-// failed.
+// See algorithm 15 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t ω>
 static inline constexpr bool
 decode_hint_bits(std::span<const uint8_t, ω + k> arr, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h)
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index 3c77ef6..6b42716 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -142,8 +142,8 @@ encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<uin
     const size_t off0 = i * ml_dsa_ntt::N;
     const size_t off1 = i * poly_blen;
 
-    bit_packing::encode<sbw>(const_poly_t(src.subspan(off0, ml_dsa_ntt::N)),
-                             std::span<uint8_t, poly_blen>(dst.subspan(off1, poly_blen)));
+    ml_dsa_bit_packing::encode<sbw>(const_poly_t(src.subspan(off0, ml_dsa_ntt::N)),
+                                    std::span<uint8_t, poly_blen>(dst.subspan(off1, poly_blen)));
   }
 }
 
@@ -161,8 +161,8 @@ decode(std::span<const uint8_t, k * sbw * ml_dsa_ntt::N / 8> src, std::span<ml_d
     const size_t off0 = i * poly_blen;
     const size_t off1 = i * ml_dsa_ntt::N;
 
-    bit_packing::decode<sbw>(std::span<const uint8_t, poly_blen>(src.subspan(off0, poly_blen)),
-                             poly_t(dst.subspan(off1, ml_dsa_ntt::N)));
+    ml_dsa_bit_packing::decode<sbw>(std::span<const uint8_t, poly_blen>(src.subspan(off0, poly_blen)),
+                                    poly_t(dst.subspan(off1, ml_dsa_ntt::N)));
   }
 }
 
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index 9f6e9cd..23c5141 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -179,7 +179,7 @@ expand_mask(std::span<const uint8_t, 64> seed,
     hasher.finalize();
     hasher.squeeze(_buf);
 
-    bit_packing::decode<gbw>(buf, poly_t(vec.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_bit_packing::decode<gbw>(buf, poly_t(vec.subspan(off, ml_dsa_ntt::N)));
     ml_dsa_poly::sub_from_x<γ1>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index 96b633f..8ae6d8b 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -61,10 +61,10 @@ do_one_computation(uint8_t* const data)
   const auto count_1 = polyvec::count_1s<dilithium2::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
-  bit_packing::encode_hint_bits<dilithium2::l, dilithium2::ω>(vec_hint, encoded_hints);
+  ml_dsa_bit_packing::encode_hint_bits<dilithium2::l, dilithium2::ω>(vec_hint, encoded_hints);
   ret_val ^= encoded_hints[0] ^ encoded_hints[encoded_hints.size() - 1];
 
-  bit_packing::decode_hint_bits<dilithium2::l, dilithium2::ω>(encoded_hints, decoded_hints);
+  ml_dsa_bit_packing::decode_hint_bits<dilithium2::l, dilithium2::ω>(encoded_hints, decoded_hints);
   ret_val ^= static_cast<uint8_t>(decoded_hints[0].raw() ^ decoded_hints[decoded_hints.size() - 1].raw());
 
   return ret_val;
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index 1377aba..32f3154 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -61,10 +61,10 @@ do_one_computation(uint8_t* const data)
   const auto count_1 = polyvec::count_1s<dilithium3::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
-  bit_packing::encode_hint_bits<dilithium3::l, dilithium3::ω>(vec_hint, encoded_hints);
+  ml_dsa_bit_packing::encode_hint_bits<dilithium3::l, dilithium3::ω>(vec_hint, encoded_hints);
   ret_val ^= encoded_hints[0] ^ encoded_hints[encoded_hints.size() - 1];
 
-  bit_packing::decode_hint_bits<dilithium3::l, dilithium3::ω>(encoded_hints, decoded_hints);
+  ml_dsa_bit_packing::decode_hint_bits<dilithium3::l, dilithium3::ω>(encoded_hints, decoded_hints);
   ret_val ^= static_cast<uint8_t>(decoded_hints[0].raw() ^ decoded_hints[decoded_hints.size() - 1].raw());
 
   return ret_val;
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index f557610..89337e2 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -61,10 +61,10 @@ do_one_computation(uint8_t* const data)
   const auto count_1 = polyvec::count_1s<dilithium5::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
-  bit_packing::encode_hint_bits<dilithium5::l, dilithium5::ω>(vec_hint, encoded_hints);
+  ml_dsa_bit_packing::encode_hint_bits<dilithium5::l, dilithium5::ω>(vec_hint, encoded_hints);
   ret_val ^= encoded_hints[0] ^ encoded_hints[encoded_hints.size() - 1];
 
-  bit_packing::decode_hint_bits<dilithium5::l, dilithium5::ω>(encoded_hints, decoded_hints);
+  ml_dsa_bit_packing::decode_hint_bits<dilithium5::l, dilithium5::ω>(encoded_hints, decoded_hints);
   ret_val ^= static_cast<uint8_t>(decoded_hints[0].raw() ^ decoded_hints[decoded_hints.size() - 1].raw());
 
   return ret_val;
diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index c0305dc..3e71a64 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -29,8 +29,8 @@ test_encode_decode()
     _polya[i] = ml_dsa_field::zq_t::random(prng);
   }
 
-  bit_packing::encode<sbw>(_polya, _arr);
-  bit_packing::decode<sbw>(_arr, _polyb);
+  ml_dsa_bit_packing::encode<sbw>(_polya, _arr);
+  ml_dsa_bit_packing::decode<sbw>(_arr, _polyb);
 
   constexpr size_t mask = (1u << sbw) - 1u;
   bool flg = false;
@@ -97,12 +97,12 @@ test_encode_decode_hint_bits()
 
   generate_random_hint_bits<k, ω>(_h0);
 
-  bit_packing::encode_hint_bits<k, ω>(_h0, _arr0);
+  ml_dsa_bit_packing::encode_hint_bits<k, ω>(_h0, _arr0);
   std::copy(_arr0.begin(), _arr0.end(), _arr1.begin());
   _arr1[enc_len - 1] = ~_arr1[enc_len - 1];
 
-  const bool failed0 = bit_packing::decode_hint_bits<k, ω>(_arr0, _h1);
-  const bool failed1 = bit_packing::decode_hint_bits<k, ω>(_arr1, _h2);
+  const bool failed0 = ml_dsa_bit_packing::decode_hint_bits<k, ω>(_arr0, _h1);
+  const bool failed1 = ml_dsa_bit_packing::decode_hint_bits<k, ω>(_arr1, _h2);
 
   bool flg = true;
 

From 5a848501dac6f1fcb94b470a991145ecbd71f06e Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sat, 20 Jul 2024 16:46:15 +0400
Subject: [PATCH 19/37] Refactor arithmetic and utility functions for vector of
 polynomials

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/dilithium.hpp    | 120 +++++++++++-----------
 include/ml_dsa/internals/poly/polyvec.hpp |  92 +++++++----------
 tests/dudect/test_dilithium2.cpp          |  18 ++--
 tests/dudect/test_dilithium3.cpp          |  18 ++--
 tests/dudect/test_dilithium5.cpp          |  18 ++--
 5 files changed, 124 insertions(+), 142 deletions(-)

diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index 8599d76..1b27214 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -53,18 +53,18 @@ keygen(std::span<const uint8_t, 32> seed,
   std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> s1_prime{};
 
   std::copy(s1.begin(), s1.end(), s1_prime.begin());
-  polyvec::ntt<l>(s1_prime);
+  ml_dsa_polyvec::ntt<l>(s1_prime);
 
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t{};
 
-  polyvec::matrix_multiply<k, l, l, 1>(A, s1_prime, t);
-  polyvec::intt<k>(t);
-  polyvec::add_to<k>(s2, t);
+  ml_dsa_polyvec::matrix_multiply<k, l, l, 1>(A, s1_prime, t);
+  ml_dsa_polyvec::intt<k>(t);
+  ml_dsa_polyvec::add_to<k>(s2, t);
 
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t1{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t0{};
 
-  polyvec::power2round<k, d>(t, t1, t0);
+  ml_dsa_polyvec::power2round<k, d>(t, t1, t0);
 
   constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
   std::array<uint8_t, 64> tr{};
@@ -75,7 +75,7 @@ keygen(std::span<const uint8_t, 32> seed,
   constexpr size_t pkoff2 = pubkey.size();
 
   std::memcpy(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>().data(), rho.data(), rho.size());
-  polyvec::encode<k, t1_bw>(t1, pubkey.template subspan<pkoff1, pkoff2 - pkoff1>());
+  ml_dsa_polyvec::encode<k, t1_bw>(t1, pubkey.template subspan<pkoff1, pkoff2 - pkoff1>());
 
   // Prepare secret key
   hasher.reset();
@@ -99,16 +99,16 @@ keygen(std::span<const uint8_t, 32> seed,
   std::memcpy(seckey.template subspan<skoff1, skoff2 - skoff1>().data(), key.data(), key.size());
   std::memcpy(seckey.template subspan<skoff2, skoff3 - skoff2>().data(), tr.data(), tr.size());
 
-  polyvec::sub_from_x<l, η>(s1);
-  polyvec::sub_from_x<k, η>(s2);
+  ml_dsa_polyvec::sub_from_x<l, η>(s1);
+  ml_dsa_polyvec::sub_from_x<k, η>(s2);
 
-  polyvec::encode<l, eta_bw>(s1, seckey.template subspan<skoff3, skoff4 - skoff3>());
-  polyvec::encode<k, eta_bw>(s2, seckey.template subspan<skoff4, skoff5 - skoff4>());
+  ml_dsa_polyvec::encode<l, eta_bw>(s1, seckey.template subspan<skoff3, skoff4 - skoff3>());
+  ml_dsa_polyvec::encode<k, eta_bw>(s2, seckey.template subspan<skoff4, skoff5 - skoff4>());
 
   constexpr uint32_t t0_rng = 1u << (d - 1);
 
-  polyvec::sub_from_x<k, t0_rng>(t0);
-  polyvec::encode<k, d>(t0, seckey.template subspan<skoff5, skoff6 - skoff5>());
+  ml_dsa_polyvec::sub_from_x<k, t0_rng>(t0);
+  ml_dsa_polyvec::encode<k, d>(t0, seckey.template subspan<skoff5, skoff6 - skoff5>());
 }
 
 // Given a Dilithium secret key and non-empty message, this routine uses
@@ -184,17 +184,17 @@ sign(std::span<const uint8_t, 32> rnd,
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> s2{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t0{};
 
-  polyvec::decode<l, eta_bw>(seckey.template subspan<skoff3, skoff4 - skoff3>(), s1);
-  polyvec::decode<k, eta_bw>(seckey.template subspan<skoff4, skoff5 - skoff4>(), s2);
-  polyvec::decode<k, d>(seckey.template subspan<skoff5, seckey.size() - skoff5>(), t0);
+  ml_dsa_polyvec::decode<l, eta_bw>(seckey.template subspan<skoff3, skoff4 - skoff3>(), s1);
+  ml_dsa_polyvec::decode<k, eta_bw>(seckey.template subspan<skoff4, skoff5 - skoff4>(), s2);
+  ml_dsa_polyvec::decode<k, d>(seckey.template subspan<skoff5, seckey.size() - skoff5>(), t0);
 
-  polyvec::sub_from_x<l, η>(s1);
-  polyvec::sub_from_x<k, η>(s2);
-  polyvec::sub_from_x<k, t0_rng>(t0);
+  ml_dsa_polyvec::sub_from_x<l, η>(s1);
+  ml_dsa_polyvec::sub_from_x<k, η>(s2);
+  ml_dsa_polyvec::sub_from_x<k, t0_rng>(t0);
 
-  polyvec::ntt<l>(s1);
-  polyvec::ntt<k>(s2);
-  polyvec::ntt<k>(t0);
+  ml_dsa_polyvec::ntt<l>(s1);
+  ml_dsa_polyvec::ntt<k>(s2);
+  ml_dsa_polyvec::ntt<k>(t0);
 
   bool has_signed = false;
   uint16_t kappa = 0;
@@ -216,9 +216,9 @@ sign(std::span<const uint8_t, 32> rnd,
 
     std::copy(y.begin(), y.end(), y_prime.begin());
 
-    polyvec::ntt<l>(y_prime);
-    polyvec::matrix_multiply<k, l, l, 1>(A, y_prime, w);
-    polyvec::intt<k>(w);
+    ml_dsa_polyvec::ntt<l>(y_prime);
+    ml_dsa_polyvec::matrix_multiply<k, l, l, 1>(A, y_prime, w);
+    ml_dsa_polyvec::intt<k>(w);
 
     constexpr uint32_t α = γ2 << 1;
     constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
@@ -229,10 +229,10 @@ sign(std::span<const uint8_t, 32> rnd,
     auto _hash_in = std::span(hash_in);
     std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
 
-    polyvec::highbits<k, α>(w, w1);
+    ml_dsa_polyvec::highbits<k, α>(w, w1);
 
     std::memcpy(_hash_in.template subspan<0, _mu.size()>().data(), _mu.data(), _mu.size());
-    polyvec::encode<k, w1bw>(w1, _hash_in.template subspan<_mu.size(), _hash_in.size() - _mu.size()>());
+    ml_dsa_polyvec::encode<k, w1bw>(w1, _hash_in.template subspan<_mu.size(), _hash_in.size() - _mu.size()>());
 
     hasher.reset();
     hasher.absorb(_hash_in);
@@ -242,21 +242,21 @@ sign(std::span<const uint8_t, 32> rnd,
     sampling::sample_in_ball<τ>(c1_tilda, c);
     ml_dsa_ntt::ntt(c);
 
-    polyvec::mul_by_poly<l>(c, s1, z);
-    polyvec::intt<l>(z);
-    polyvec::add_to<l>(y, z);
+    ml_dsa_polyvec::mul_by_poly<l>(c, s1, z);
+    ml_dsa_polyvec::intt<l>(z);
+    ml_dsa_polyvec::add_to<l>(y, z);
 
     std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> r0{};
     std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> r1{};
 
-    polyvec::mul_by_poly<k>(c, s2, r1);
-    polyvec::intt<k>(r1);
-    polyvec::neg<k>(r1);
-    polyvec::add_to<k>(w, r1);
-    polyvec::lowbits<k, α>(r1, r0);
+    ml_dsa_polyvec::mul_by_poly<k>(c, s2, r1);
+    ml_dsa_polyvec::intt<k>(r1);
+    ml_dsa_polyvec::neg<k>(r1);
+    ml_dsa_polyvec::add_to<k>(w, r1);
+    ml_dsa_polyvec::lowbits<k, α>(r1, r0);
 
-    const ml_dsa_field::zq_t z_norm = polyvec::infinity_norm<l>(z);
-    const ml_dsa_field::zq_t r0_norm = polyvec::infinity_norm<k>(r0);
+    const ml_dsa_field::zq_t z_norm = ml_dsa_polyvec::infinity_norm<l>(z);
+    const ml_dsa_field::zq_t r0_norm = ml_dsa_polyvec::infinity_norm<k>(r0);
 
     constexpr ml_dsa_field::zq_t bound0(γ1 - β);
     constexpr ml_dsa_field::zq_t bound1(γ2 - β);
@@ -270,15 +270,15 @@ sign(std::span<const uint8_t, 32> rnd,
     std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h0{};
     std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h1{};
 
-    polyvec::mul_by_poly<k>(c, t0, h0);
-    polyvec::intt<k>(h0);
+    ml_dsa_polyvec::mul_by_poly<k>(c, t0, h0);
+    ml_dsa_polyvec::intt<k>(h0);
     std::copy(h0.begin(), h0.end(), h1.begin());
-    polyvec::neg<k>(h0);
-    polyvec::add_to<k>(h1, r1);
-    polyvec::make_hint<k, α>(h0, r1, h);
+    ml_dsa_polyvec::neg<k>(h0);
+    ml_dsa_polyvec::add_to<k>(h1, r1);
+    ml_dsa_polyvec::make_hint<k, α>(h0, r1, h);
 
-    const ml_dsa_field::zq_t ct0_norm = polyvec::infinity_norm<k>(h1);
-    const size_t count_1 = polyvec::count_1s<k>(h);
+    const ml_dsa_field::zq_t ct0_norm = ml_dsa_polyvec::infinity_norm<k>(h1);
+    const size_t count_1 = ml_dsa_polyvec::count_1s<k>(h);
 
     constexpr ml_dsa_field::zq_t bound2(γ2);
 
@@ -297,8 +297,8 @@ sign(std::span<const uint8_t, 32> rnd,
   constexpr size_t sigoff3 = sig.size();
 
   std::memcpy(sig.template subspan<sigoff0, sigoff1 - sigoff0>().data(), c_tilda.data(), c_tilda.size());
-  polyvec::sub_from_x<l, γ1>(z);
-  polyvec::encode<l, gamma1_bw>(z, sig.template subspan<sigoff1, sigoff2 - sigoff1>());
+  ml_dsa_polyvec::sub_from_x<l, γ1>(z);
+  ml_dsa_polyvec::encode<l, gamma1_bw>(z, sig.template subspan<sigoff1, sigoff2 - sigoff1>());
   ml_dsa_bit_packing::encode_hint_bits<k, ω>(h, sig.template subspan<sigoff2, sigoff3 - sigoff2>());
 }
 
@@ -332,7 +332,7 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t1{};
 
   sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
-  polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
+  ml_dsa_polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
 
   std::array<uint8_t, 64> tr{};
   std::array<uint8_t, 64> mu{};
@@ -359,33 +359,33 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> z{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h{};
 
-  polyvec::decode<l, gamma1_bw>(sig.template subspan<sigoff1, sigoff2 - sigoff1>(), z);
-  polyvec::sub_from_x<l, γ1>(z);
+  ml_dsa_polyvec::decode<l, gamma1_bw>(sig.template subspan<sigoff1, sigoff2 - sigoff1>(), z);
+  ml_dsa_polyvec::sub_from_x<l, γ1>(z);
   const bool failed = ml_dsa_bit_packing::decode_hint_bits<k, ω>(sig.template subspan<sigoff2, sigoff3 - sigoff2>(), h);
 
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w0{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w1{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w2{};
 
-  const ml_dsa_field::zq_t z_norm = polyvec::infinity_norm<l>(z);
-  const size_t count_1 = polyvec::count_1s<k>(h);
+  const ml_dsa_field::zq_t z_norm = ml_dsa_polyvec::infinity_norm<l>(z);
+  const size_t count_1 = ml_dsa_polyvec::count_1s<k>(h);
 
-  polyvec::ntt<l>(z);
-  polyvec::matrix_multiply<k, l, l, 1>(A, z, w0);
+  ml_dsa_polyvec::ntt<l>(z);
+  ml_dsa_polyvec::matrix_multiply<k, l, l, 1>(A, z, w0);
 
-  polyvec::shl<k, d>(t1);
-  polyvec::ntt<k>(t1);
-  polyvec::mul_by_poly<k>(c, t1, w2);
-  polyvec::neg<k>(w2);
+  ml_dsa_polyvec::shl<k, d>(t1);
+  ml_dsa_polyvec::ntt<k>(t1);
+  ml_dsa_polyvec::mul_by_poly<k>(c, t1, w2);
+  ml_dsa_polyvec::neg<k>(w2);
 
-  polyvec::add_to<k>(w0, w2);
-  polyvec::intt<k>(w2);
+  ml_dsa_polyvec::add_to<k>(w0, w2);
+  ml_dsa_polyvec::intt<k>(w2);
 
   constexpr uint32_t α = γ2 << 1;
   constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
-  polyvec::use_hint<k, α>(h, w2, w1);
+  ml_dsa_polyvec::use_hint<k, α>(h, w2, w1);
 
   std::array<uint8_t, mu.size() + (k * w1bw * 32)> hash_in{};
   std::array<uint8_t, (2 * λ) / std::numeric_limits<uint8_t>::digits> c_tilda_prime{};
@@ -393,7 +393,7 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   auto _hash_in = std::span(hash_in);
 
   std::memcpy(_hash_in.template subspan<0, mu.size()>().data(), mu.data(), mu.size());
-  polyvec::encode<k, w1bw>(w1, _hash_in.template subspan<mu.size(), _hash_in.size() - mu.size()>());
+  ml_dsa_polyvec::encode<k, w1bw>(w1, _hash_in.template subspan<mu.size(), _hash_in.size() - mu.size()>());
 
   hasher.reset();
   hasher.absorb(_hash_in);
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index 6b42716..32826d3 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -3,17 +3,15 @@
 #include "ml_dsa/internals/math/field.hpp"
 #include "ml_dsa/internals/utility/params.hpp"
 #include "poly.hpp"
-#include <array>
-#include <cstdint>
-#include <span>
+#include <limits>
 
 // Utility functions applied on vector of degree-255 polynomials
-namespace polyvec {
+namespace ml_dsa_polyvec {
 
 using const_poly_t = std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N>;
 using poly_t = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>;
 
-// Applies NTT on a vector ( of dimension k x 1 ) of degree-255 polynomials
+// Applies NTT on a vector ( of dimension k x 1 ) of degree-255 polynomials.
 template<size_t k>
 static inline constexpr void
 ntt(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
@@ -24,7 +22,7 @@ ntt(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   }
 }
 
-// Applies iNTT on a vector ( of dimension k x 1 ) of degree-255 polynomials
+// Applies iNTT on a vector ( of dimension k x 1 ) of degree-255 polynomials.
 template<size_t k>
 static inline constexpr void
 intt(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
@@ -35,8 +33,7 @@ intt(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   }
 }
 
-// Compresses vector ( of dimension k x 1 ) of degree-255 polynomials by
-// extracting out high and low order bits
+// Compresses vector ( of dimension k x 1 ) of degree-255 polynomials by extracting out high and low order bits.
 template<size_t k, size_t d>
 static inline constexpr void
 power2round(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly,
@@ -52,9 +49,8 @@ power2round(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly,
   }
 }
 
-// Given two matrices ( in NTT domain ) of compatible dimension, where each
-// matrix element is a degree-255 polynomial over Z_q | q = 2^23 -2^13 + 1, this
-// routine attempts to multiply and compute resulting matrix
+// Given two matrices ( in NTT domain ) of compatible dimension, where each matrix element is a degree-255 polynomial
+// over Z_q, this routine multiplies them, computing resulting matrix.
 template<size_t a_rows, size_t a_cols, size_t b_rows, size_t b_cols>
 static inline constexpr void
 matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ml_dsa_ntt::N> a,
@@ -63,7 +59,7 @@ matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ml_dsa_ntt
   requires(ml_dsa_params::check_matrix_dim(a_cols, b_rows))
 {
   std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> tmp{};
-  auto _tmp = std::span(tmp);
+  auto tmp_span = poly_t(tmp);
 
   for (size_t i = 0; i < a_rows; i++) {
     for (size_t j = 0; j < b_cols; j++) {
@@ -74,19 +70,18 @@ matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ml_dsa_ntt
         const size_t boff = (k * b_cols + j) * ml_dsa_ntt::N;
 
         ml_dsa_poly::mul(
-          const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), _tmp);
+          const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), tmp_span);
 
-        for (size_t l = 0; l < _tmp.size(); l++) {
-          c[coff + l] += _tmp[l];
+        for (size_t l = 0; l < tmp_span.size(); l++) {
+          c[coff + l] += tmp_span[l];
         }
       }
     }
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this
-// routine adds it to another polynomial vector of same dimension s.t.
-// destination vector is mutated.
+// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine adds it to another polynomial vector of
+// same dimension s.t. destination vector is mutated.
 template<size_t k>
 static inline constexpr void
 add_to(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
@@ -100,8 +95,7 @@ add_to(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<ml_
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this
-// routine negates each coefficient.
+// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine negates each coefficient.
 template<size_t k>
 static inline constexpr void
 neg(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
@@ -115,9 +109,8 @@ neg(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials s.t. each
-// coefficient ∈ [-x, x], this routine subtracts each coefficient from x so that
-// coefficients now stay in [0, 2x].
+// Given a vector ( of dimension k x 1 ) of degree-255 polynomials s.t. each coefficient ∈ [-x, x], this routine
+// subtracts each coefficient from x so that coefficients now stay in [0, 2x].
 template<size_t k, uint32_t x>
 static inline constexpr void
 sub_from_x(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
@@ -128,15 +121,15 @@ sub_from_x(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine
-// encodes each of those polynomials into 32 x sbw -bytes, writing to a
-// (k x 32 x sbw) -bytes destination array.
+// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine encodes each of those polynomials into
+// 32 x sbw -bytes, writing to a (k x 32 x sbw) -bytes destination array.
 template<size_t k, size_t sbw>
 static inline constexpr void
-encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<uint8_t, k * sbw * ml_dsa_ntt::N / 8> dst)
+encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
+       std::span<uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<uint8_t>::digits> dst)
 {
   // Byte length of degree-255 polynomial after serialization
-  constexpr size_t poly_blen = sbw * ml_dsa_ntt::N / 8;
+  constexpr size_t poly_blen = dst.size() / k;
 
   for (size_t i = 0; i < k; i++) {
     const size_t off0 = i * ml_dsa_ntt::N;
@@ -147,15 +140,15 @@ encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<uin
   }
 }
 
-// Given a byte array of length (k x 32 x sbw) -bytes, this routine decodes them
-// into k degree-255 polynomials, writing them to a column vector of dimension
-// k x 1.
+// Given a byte array of length (k x 32 x sbw) -bytes, this routine decodes them into k degree-255 polynomials, writing
+// them to a column vector of dimension k x 1.
 template<size_t k, size_t sbw>
 static inline constexpr void
-decode(std::span<const uint8_t, k * sbw * ml_dsa_ntt::N / 8> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
+decode(std::span<const uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<uint8_t>::digits> src,
+       std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   // Byte length of degree-255 polynomial after serialization
-  constexpr size_t poly_blen = sbw * ml_dsa_ntt::N / 8;
+  constexpr size_t poly_blen = src.size() / k;
 
   for (size_t i = 0; i < k; i++) {
     const size_t off0 = i * poly_blen;
@@ -166,8 +159,7 @@ decode(std::span<const uint8_t, k * sbw * ml_dsa_ntt::N / 8> src, std::span<ml_d
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine
-// extracts out high order bits from each coefficient
+// Given a vector (of dimension k x 1) of degree-255 polynomials, it extracts out high order bits from each coefficient.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
 highbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
@@ -180,8 +172,7 @@ highbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine
-// extracts out low order bits from each coefficient, while not mutating operand
+// Given a vector (of dimension k x 1) of degree-255 polynomials, it extracts out low order bits from each coefficient.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
 lowbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
@@ -193,10 +184,8 @@ lowbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials and one
-// multiplier polynomial, this routine performs k pointwise polynomial
-// multiplications when each of these polynomials are in their NTT
-// representation, while not mutating operand polynomials.
+// Given a vector ( of dimension k x 1 ) of degree-255 polynomials and one multiplier polynomial, this routine performs
+// k pointwise polynomial multiplications when each of these polynomials are in their NTT representation.
 template<size_t k>
 static inline constexpr void
 mul_by_poly(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
@@ -210,11 +199,7 @@ mul_by_poly(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
   }
 }
 
-// Computes infinity norm of a vector ( of dimension k x 1 ) of degree-255
-// polynomials.
-//
-// See point `Sizes of elements` in section 2.1 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// Computes infinity norm of a vector ( of dimension k x 1 ) of degree-255 polynomials.
 template<size_t k>
 static inline constexpr ml_dsa_field::zq_t
 infinity_norm(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
@@ -229,8 +214,8 @@ infinity_norm(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   return res;
 }
 
-// Given two vector ( of dimension k x 1 ) of degree-255 polynomials, this
-// routine computes hint bit for each coefficient, using `make_hint` routine.
+// Given two vectors (of dimension k x 1) of degree-255 polynomials, this routine computes hint bit for each
+// coefficient, using `make_hint` routine.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
 make_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polya,
@@ -245,9 +230,8 @@ make_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polya,
   }
 }
 
-// Recovers high order bits of a vector of degree-255 polynomials (  i.e. r + z
-// ) s.t. hint bits ( say h ) and another polynomial vector ( say r ) are
-// provided.
+// Recovers high order bits of a vector of degree-255 polynomials (i.e. r + z) s.t. hint bits (say h) and another
+// polynomial vector (say r) are provided.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
 use_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyh,
@@ -262,8 +246,7 @@ use_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyh,
   }
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine
-// counts number of coefficients having value 1.
+// Given a vector (of dimension k x 1) of degree-255 polynomials, it counts number of coefficients having value 1.
 template<size_t k>
 static inline constexpr size_t
 count_1s(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
@@ -278,8 +261,7 @@ count_1s(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   return cnt;
 }
 
-// Given a vector ( of dimension k x 1 ) of degree-255 polynomials, this routine
-// shifts each coefficient leftwards by d bits
+// Given a vector (of dimension k x 1) of degree-255 polynomials, it shifts each coefficient leftwards by d bits.
 template<size_t k, size_t d>
 static inline constexpr void
 shl(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index 8ae6d8b..624a66c 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -34,31 +34,31 @@ do_one_computation(uint8_t* const data)
   sampling::expand_mask<dilithium2::γ1, dilithium2::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::ntt<dilithium2::l>(vec);
+  ml_dsa_polyvec::ntt<dilithium2::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::intt<dilithium2::l>(vec);
+  ml_dsa_polyvec::intt<dilithium2::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::highbits<dilithium2::l, α>(vec, vec_high);
+  ml_dsa_polyvec::highbits<dilithium2::l, α>(vec, vec_high);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_high[vec_high.size() - 1].raw());
 
-  polyvec::lowbits<dilithium2::l, α>(vec, vec_low);
+  ml_dsa_polyvec::lowbits<dilithium2::l, α>(vec, vec_low);
   ret_val ^= static_cast<uint8_t>(vec_low[0].raw() ^ vec_low[vec_low.size() - 1].raw());
 
-  polyvec::encode<dilithium2::l, w1bw>(vec_high, encoded);
+  ml_dsa_polyvec::encode<dilithium2::l, w1bw>(vec_high, encoded);
   ret_val ^= encoded[0] ^ encoded[encoded.size() - 1];
 
-  polyvec::decode<dilithium2::l, w1bw>(encoded, decoded);
+  ml_dsa_polyvec::decode<dilithium2::l, w1bw>(encoded, decoded);
   ret_val ^= static_cast<uint8_t>(decoded[0].raw() ^ decoded[decoded.size() - 1].raw());
 
-  const auto z_norm = polyvec::infinity_norm<dilithium2::l>(vec);
+  const auto z_norm = ml_dsa_polyvec::infinity_norm<dilithium2::l>(vec);
   ret_val ^= static_cast<uint8_t>(z_norm.raw());
 
-  polyvec::make_hint<dilithium2::l, α>(vec, vec_high, vec_hint);
+  ml_dsa_polyvec::make_hint<dilithium2::l, α>(vec, vec_high, vec_hint);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_hint[vec_hint.size() - 1].raw());
 
-  const auto count_1 = polyvec::count_1s<dilithium2::l>(vec_hint);
+  const auto count_1 = ml_dsa_polyvec::count_1s<dilithium2::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
   ml_dsa_bit_packing::encode_hint_bits<dilithium2::l, dilithium2::ω>(vec_hint, encoded_hints);
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index 32f3154..5a36708 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -34,31 +34,31 @@ do_one_computation(uint8_t* const data)
   sampling::expand_mask<dilithium3::γ1, dilithium3::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::ntt<dilithium3::l>(vec);
+  ml_dsa_polyvec::ntt<dilithium3::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::intt<dilithium3::l>(vec);
+  ml_dsa_polyvec::intt<dilithium3::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::highbits<dilithium3::l, α>(vec, vec_high);
+  ml_dsa_polyvec::highbits<dilithium3::l, α>(vec, vec_high);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_high[vec_high.size() - 1].raw());
 
-  polyvec::lowbits<dilithium3::l, α>(vec, vec_low);
+  ml_dsa_polyvec::lowbits<dilithium3::l, α>(vec, vec_low);
   ret_val ^= static_cast<uint8_t>(vec_low[0].raw() ^ vec_low[vec_low.size() - 1].raw());
 
-  polyvec::encode<dilithium3::l, w1bw>(vec_high, encoded);
+  ml_dsa_polyvec::encode<dilithium3::l, w1bw>(vec_high, encoded);
   ret_val ^= encoded[0] ^ encoded[encoded.size() - 1];
 
-  polyvec::decode<dilithium3::l, w1bw>(encoded, decoded);
+  ml_dsa_polyvec::decode<dilithium3::l, w1bw>(encoded, decoded);
   ret_val ^= static_cast<uint8_t>(decoded[0].raw() ^ decoded[decoded.size() - 1].raw());
 
-  const auto z_norm = polyvec::infinity_norm<dilithium3::l>(vec);
+  const auto z_norm = ml_dsa_polyvec::infinity_norm<dilithium3::l>(vec);
   ret_val ^= static_cast<uint8_t>(z_norm.raw());
 
-  polyvec::make_hint<dilithium3::l, α>(vec, vec_high, vec_hint);
+  ml_dsa_polyvec::make_hint<dilithium3::l, α>(vec, vec_high, vec_hint);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_hint[vec_hint.size() - 1].raw());
 
-  const auto count_1 = polyvec::count_1s<dilithium3::l>(vec_hint);
+  const auto count_1 = ml_dsa_polyvec::count_1s<dilithium3::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
   ml_dsa_bit_packing::encode_hint_bits<dilithium3::l, dilithium3::ω>(vec_hint, encoded_hints);
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index 89337e2..fa5ab5d 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -34,31 +34,31 @@ do_one_computation(uint8_t* const data)
   sampling::expand_mask<dilithium5::γ1, dilithium5::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::ntt<dilithium5::l>(vec);
+  ml_dsa_polyvec::ntt<dilithium5::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::intt<dilithium5::l>(vec);
+  ml_dsa_polyvec::intt<dilithium5::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  polyvec::highbits<dilithium5::l, α>(vec, vec_high);
+  ml_dsa_polyvec::highbits<dilithium5::l, α>(vec, vec_high);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_high[vec_high.size() - 1].raw());
 
-  polyvec::lowbits<dilithium5::l, α>(vec, vec_low);
+  ml_dsa_polyvec::lowbits<dilithium5::l, α>(vec, vec_low);
   ret_val ^= static_cast<uint8_t>(vec_low[0].raw() ^ vec_low[vec_low.size() - 1].raw());
 
-  polyvec::encode<dilithium5::l, w1bw>(vec_high, encoded);
+  ml_dsa_polyvec::encode<dilithium5::l, w1bw>(vec_high, encoded);
   ret_val ^= encoded[0] ^ encoded[encoded.size() - 1];
 
-  polyvec::decode<dilithium5::l, w1bw>(encoded, decoded);
+  ml_dsa_polyvec::decode<dilithium5::l, w1bw>(encoded, decoded);
   ret_val ^= static_cast<uint8_t>(decoded[0].raw() ^ decoded[decoded.size() - 1].raw());
 
-  const auto z_norm = polyvec::infinity_norm<dilithium5::l>(vec);
+  const auto z_norm = ml_dsa_polyvec::infinity_norm<dilithium5::l>(vec);
   ret_val ^= static_cast<uint8_t>(z_norm.raw());
 
-  polyvec::make_hint<dilithium5::l, α>(vec, vec_high, vec_hint);
+  ml_dsa_polyvec::make_hint<dilithium5::l, α>(vec, vec_high, vec_hint);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_hint[vec_hint.size() - 1].raw());
 
-  const auto count_1 = polyvec::count_1s<dilithium5::l>(vec_hint);
+  const auto count_1 = ml_dsa_polyvec::count_1s<dilithium5::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
   ml_dsa_bit_packing::encode_hint_bits<dilithium5::l, dilithium5::ω>(vec_hint, encoded_hints);

From df5ec2a155bfb67341a63464833877081464ea86 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sat, 20 Jul 2024 17:42:57 +0400
Subject: [PATCH 20/37] Refactor polynomial and vector of polynomials sampling
 functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/internals/dilithium.hpp     |  16 +--
 include/ml_dsa/internals/poly/sampling.hpp | 136 +++++++++------------
 tests/dudect/test_dilithium2.cpp           |   2 +-
 tests/dudect/test_dilithium3.cpp           |   2 +-
 tests/dudect/test_dilithium5.cpp           |   2 +-
 tests/test_sampling.cpp                    |   2 +-
 6 files changed, 73 insertions(+), 87 deletions(-)

diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/dilithium.hpp
index 1b27214..a89ec6c 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/dilithium.hpp
@@ -42,13 +42,13 @@ keygen(std::span<const uint8_t, 32> seed,
   auto key = _seed_hash.template subspan<rho.size() + rho_prime.size(), 32>();
 
   std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
-  sampling::expand_a<k, l>(rho, A);
+  ml_dsa_sampling::expand_a<k, l>(rho, A);
 
   std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> s1{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> s2{};
 
-  sampling::expand_s<η, l, 0>(rho_prime, s1);
-  sampling::expand_s<η, k, l>(rho_prime, s2);
+  ml_dsa_sampling::expand_s<η, l, 0>(rho_prime, s1);
+  ml_dsa_sampling::expand_s<η, k, l>(rho_prime, s2);
 
   std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> s1_prime{};
 
@@ -160,7 +160,7 @@ sign(std::span<const uint8_t, 32> rnd,
   auto tr = seckey.template subspan<skoff2, skoff3 - skoff2>();
 
   std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
-  sampling::expand_a<k, l>(rho, A);
+  ml_dsa_sampling::expand_a<k, l>(rho, A);
 
   std::array<uint8_t, 64> mu{};
   auto _mu = std::span(mu);
@@ -212,7 +212,7 @@ sign(std::span<const uint8_t, 32> rnd,
     std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> y_prime{};
     std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w{};
 
-    sampling::expand_mask<γ1, l>(rho_prime, kappa, y);
+    ml_dsa_sampling::expand_mask<γ1, l>(rho_prime, kappa, y);
 
     std::copy(y.begin(), y.end(), y_prime.begin());
 
@@ -239,7 +239,7 @@ sign(std::span<const uint8_t, 32> rnd,
     hasher.finalize();
     hasher.squeeze(c_tilda);
 
-    sampling::sample_in_ball<τ>(c1_tilda, c);
+    ml_dsa_sampling::sample_in_ball<τ>(c1_tilda, c);
     ml_dsa_ntt::ntt(c);
 
     ml_dsa_polyvec::mul_by_poly<l>(c, s1, z);
@@ -331,7 +331,7 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t1{};
 
-  sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
+  ml_dsa_sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
   ml_dsa_polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
 
   std::array<uint8_t, 64> tr{};
@@ -353,7 +353,7 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   auto c1_tilda = c_tilda.template first<32>();
   auto c2_tilda = c_tilda.template last<32>();
 
-  sampling::sample_in_ball<τ>(c1_tilda, c);
+  ml_dsa_sampling::sample_in_ball<τ>(c1_tilda, c);
   ml_dsa_ntt::ntt(c);
 
   std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> z{};
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index 23c5141..399c48f 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -6,54 +6,49 @@
 #include "poly.hpp"
 #include "shake128.hpp"
 #include "shake256.hpp"
-#include <array>
 #include <cstdint>
-#include <cstring>
+#include <limits>
 
-// Sampling polynomials/ vector of polynomials related routines
-namespace sampling {
+// Routines related to sampling of polynomials/ vector of polynomials
+namespace ml_dsa_sampling {
 
 using poly_t = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>;
 
 // Given a 32 -bytes uniform seed ρ, a k x l matrix is deterministically sampled ( using the method of rejection
-// sampling ), where each coefficient is a degree-255 polynomial ∈ R_q | q = 2^23 - 2^13 + 1
+// sampling ), where each coefficient is a degree-255 polynomial ∈ R_q.
 //
-// Shake128 Xof is used for expanding 32 -bytes seed to matrix over R_q^(k x l).
-//
-// See `Expanding the Matrix A` point in section 5.3 of Dilithium specification,
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 26 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t l>
 static inline constexpr void
 expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> mat)
 {
   std::array<uint8_t, rho.size() + 2> msg{};
-  auto _msg = std::span(msg);
+  auto msg_span = std::span(msg);
 
-  std::memcpy(_msg.template subspan<0, rho.size()>().data(), rho.data(), rho.size());
+  std::copy(rho.begin(), rho.end(), msg_span.begin());
 
   for (size_t i = 0; i < k; i++) {
     for (size_t j = 0; j < l; j++) {
       const size_t off = (i * l + j) * ml_dsa_ntt::N;
-      const uint16_t nonce = static_cast<uint16_t>(i * 256ul + j);
 
-      msg[32] = static_cast<uint8_t>(nonce >> 0);
-      msg[33] = static_cast<uint8_t>(nonce >> 8);
+      msg[32] = static_cast<uint8_t>(j);
+      msg[33] = static_cast<uint8_t>(i);
 
       shake128::shake128_t hasher;
-      hasher.absorb(_msg);
+      hasher.absorb(msg_span);
       hasher.finalize();
 
-      std::array<uint8_t, shake128::RATE / 8> buf{};
-      auto _buf = std::span(buf);
+      std::array<uint8_t, shake128::RATE / std::numeric_limits<uint8_t>::digits> buf{};
+      auto buf_span = std::span(buf);
 
       size_t n = 0;
       while (n < ml_dsa_ntt::N) {
-        hasher.squeeze(_buf);
+        hasher.squeeze(buf_span);
 
-        for (size_t boff = 0; (boff < _buf.size()) && (n < ml_dsa_ntt::N); boff += 3) {
-          const uint32_t t0 = static_cast<uint32_t>(_buf[boff + 2] & 0b01111111);
-          const uint32_t t1 = static_cast<uint32_t>(_buf[boff + 1]);
-          const uint32_t t2 = static_cast<uint32_t>(_buf[boff + 0]);
+        for (size_t boff = 0; (boff < buf_span.size()) && (n < ml_dsa_ntt::N); boff += 3) {
+          const uint32_t t0 = static_cast<uint32_t>(buf_span[boff + 2] & 0b01111111);
+          const uint32_t t1 = static_cast<uint32_t>(buf_span[boff + 1]);
+          const uint32_t t2 = static_cast<uint32_t>(buf_span[boff + 0]);
 
           const uint32_t t3 = (t0 << 16) ^ (t1 << 8) ^ (t2 << 0);
           if (t3 < ml_dsa_field::Q) {
@@ -66,73 +61,69 @@ expand_a(std::span<const uint8_t, 32> rho, std::span<ml_dsa_field::zq_t, k * l *
   }
 }
 
-// Uniform rejection sampling k -many degree-255 polynomials s.t. each coefficient of
-// those polynomials ∈ [-η, η].
+// Uniform rejection sampling k -many degree-255 polynomials s.t. each coefficient of those polynomials ∈ [-η, η].
 //
-// Sampling is performed deterministically, by seeding Shake256 Xof with
-// 64 -bytes seed and two byte nonce, whose starting value is provided ( see
-// template parameter ). Consecutive nonces are computed by adding 1 to previous
-// one.
+// Sampling is performed deterministically, by seeding Shake256 Xof with 64 -bytes seed and two nonce bytes, whose
+// starting value is provided ( see template parameter ). Consecutive nonces are computed by adding 1 to previous value.
 //
 // Note, sampled polynomial coefficients are kept in canonical form.
 //
-// See `Sampling the vectors s1 and s2` point in section 5.3 of Dilithium
-// specification https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 27 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t η, size_t k, uint16_t nonce>
 static inline constexpr void
 expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
   requires(ml_dsa_params::check_η(η) && ml_dsa_params::check_nonce(nonce))
 {
-  constexpr auto eta_ = ml_dsa_field::zq_t(η);
+  constexpr auto eta = ml_dsa_field::zq_t(η);
 
   std::array<uint8_t, rho_prime.size() + 2> msg{};
-  auto _msg = std::span(msg);
+  auto msg_span = std::span(msg);
 
-  std::memcpy(_msg.template subspan<0, rho_prime.size()>().data(), rho_prime.data(), rho_prime.size());
+  std::copy(rho_prime.begin(), rho_prime.end(), msg_span.begin());
 
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    const uint16_t nonce_ = nonce + static_cast<uint16_t>(i);
+    const uint16_t new_nonce = nonce + static_cast<uint16_t>(i);
 
-    msg[64] = static_cast<uint8_t>(nonce_ >> 0);
-    msg[65] = static_cast<uint8_t>(nonce_ >> 8);
+    msg[64] = static_cast<uint8_t>(new_nonce >> 0);
+    msg[65] = static_cast<uint8_t>(new_nonce >> 8);
 
     shake256::shake256_t hasher;
-    hasher.absorb(_msg);
+    hasher.absorb(msg_span);
     hasher.finalize();
 
-    std::array<uint8_t, shake256::RATE / 8> buf{};
-    auto _buf = std::span(buf);
+    std::array<uint8_t, shake256::RATE / std::numeric_limits<uint8_t>::digits> buf{};
+    auto buf_span = std::span(buf);
 
     size_t n = 0;
     while (n < ml_dsa_ntt::N) {
-      hasher.squeeze(_buf);
+      hasher.squeeze(buf_span);
 
-      for (size_t boff = 0; (boff < _buf.size()) && (n < ml_dsa_ntt::N); boff++) {
-        const uint8_t t0 = _buf[boff] & 0x0f;
-        const uint8_t t1 = _buf[boff] >> 4;
+      for (size_t boff = 0; (boff < buf_span.size()) && (n < ml_dsa_ntt::N); boff++) {
+        const uint8_t t0 = buf_span[boff] & 0x0f;
+        const uint8_t t1 = buf_span[boff] >> 4;
 
         if constexpr (η == 2u) {
           const uint32_t t2 = static_cast<uint32_t>(t0 % 5);
           const bool flg0 = t0 < 15;
 
-          vec[off + n] = eta_ - ml_dsa_field::zq_t(t2);
+          vec[off + n] = eta - ml_dsa_field::zq_t(t2);
           n += flg0 * 1;
 
           const uint32_t t3 = static_cast<uint32_t>(t1 % 5);
           const bool flg1 = (t1 < 15) & (n < ml_dsa_ntt::N);
-          const ml_dsa_field::zq_t br[]{ vec[off], eta_ - ml_dsa_field::zq_t(t3) };
+          const ml_dsa_field::zq_t br[]{ vec[off], eta - ml_dsa_field::zq_t(t3) };
 
           vec[off + flg1 * n] = br[flg1];
           n += flg1 * 1;
         } else {
           const bool flg0 = t0 < 9;
 
-          vec[off + n] = eta_ - ml_dsa_field::zq_t(static_cast<uint32_t>(t0));
+          vec[off + n] = eta - ml_dsa_field::zq_t(static_cast<uint32_t>(t0));
           n += flg0 * 1;
 
           const bool flg1 = (t1 < 9) & (n < ml_dsa_ntt::N);
-          const auto t2 = eta_ - ml_dsa_field::zq_t(static_cast<uint32_t>(t1));
+          const auto t2 = eta - ml_dsa_field::zq_t(static_cast<uint32_t>(t1));
           const ml_dsa_field::zq_t br[]{ vec[off], t2 };
 
           vec[off + flg1 * n] = br[flg1];
@@ -143,13 +134,10 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
   }
 }
 
-// Given a 64 -bytes seed and 2 -bytes nonce, this routine does uniform sampling
-// from output of Shake256 Xof, computing a l x 1 vector of degree-255
-// polynomials s.t. each coefficient ∈ [-(γ1-1), γ1]
+// Given a 64 -bytes seed and 2 -bytes nonce, this routine does uniform sampling from output of Shake256 Xof, computing
+// a l x 1 vector of degree-255 polynomials s.t. each coefficient ∈ [-(γ1-1), γ1].
 //
-// See `Sampling the vectors y` point in section 5.3 of Dilithium
-// specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 28 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t γ1, size_t l>
 static inline constexpr void
 expand_mask(std::span<const uint8_t, 64> seed,
@@ -160,68 +148,66 @@ expand_mask(std::span<const uint8_t, 64> seed,
   constexpr size_t gbw = std::bit_width(2 * γ1 - 1u);
 
   std::array<uint8_t, seed.size() + 2> msg{};
-  std::array<uint8_t, ml_dsa_ntt::N * gbw / 8> buf{};
+  std::array<uint8_t, (ml_dsa_ntt::N * gbw) / std::numeric_limits<uint8_t>::digits> buf{};
 
-  auto _msg = std::span(msg);
-  auto _buf = std::span(buf);
+  auto msg_span = std::span(msg);
+  auto buf_span = std::span(buf);
 
-  std::memcpy(_msg.template subspan<0, seed.size()>().data(), seed.data(), seed.size());
+  std::copy(seed.begin(), seed.end(), msg_span.begin());
 
   for (size_t i = 0; i < l; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    const uint16_t nonce_ = nonce + static_cast<uint16_t>(i);
+    const uint16_t new_nonce = nonce + static_cast<uint16_t>(i);
 
-    msg[64] = static_cast<uint8_t>(nonce_ >> 0);
-    msg[65] = static_cast<uint8_t>(nonce_ >> 8);
+    msg[64] = static_cast<uint8_t>(new_nonce >> 0);
+    msg[65] = static_cast<uint8_t>(new_nonce >> 8);
 
     shake256::shake256_t hasher;
-    hasher.absorb(_msg);
+    hasher.absorb(msg_span);
     hasher.finalize();
-    hasher.squeeze(_buf);
+    hasher.squeeze(buf_span);
 
     ml_dsa_bit_packing::decode<gbw>(buf, poly_t(vec.subspan(off, ml_dsa_ntt::N)));
     ml_dsa_poly::sub_from_x<γ1>(poly_t(vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
-// Given a 32 -bytes seed, this routine creates a degree-255 polynomial with τ
-// -many coefficients set to +/- 1, while remaining (256 - τ) -many set to 0.
+// Given a 32 -bytes seed, this routine creates a degree-255 polynomial with τ -many coefficients set to +/- 1, while
+// remaining (256 - τ) -many set to 0.
 //
-// See hashing to a ball algorithm described in figure 2 and section 5.3 of
-// Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 23 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t τ>
 static inline constexpr void
 sample_in_ball(std::span<const uint8_t, 32> seed, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly)
   requires(ml_dsa_params::check_τ(τ))
 {
   std::array<uint8_t, 8> tau_bits{};
-  std::array<uint8_t, shake256::RATE / 8> buf{};
+  std::array<uint8_t, shake256::RATE / std::numeric_limits<uint8_t>::digits> buf{};
 
-  auto _tau_bits = std::span(tau_bits);
-  auto _buf = std::span(buf);
+  auto tau_bits_span = std::span(tau_bits);
+  auto buf_span = std::span(buf);
 
   shake256::shake256_t hasher;
   hasher.absorb(seed);
   hasher.finalize();
-  hasher.squeeze(_tau_bits);
+  hasher.squeeze(tau_bits_span);
 
   constexpr size_t frm = ml_dsa_ntt::N - τ;
   size_t i = frm;
 
   while (i < ml_dsa_ntt::N) {
-    hasher.squeeze(_buf);
+    hasher.squeeze(buf_span);
 
-    for (size_t off = 0; (off < _buf.size()) && (i < ml_dsa_ntt::N); off++) {
+    for (size_t off = 0; (off < buf_span.size()) && (i < ml_dsa_ntt::N); off++) {
       const size_t tau_bit = i - frm;
 
       const size_t tau_byte_off = tau_bit >> 3;
       const size_t tau_bit_off = tau_bit & 7ul;
 
-      const uint8_t s = (_tau_bits[tau_byte_off] >> tau_bit_off) & 0b1;
+      const uint8_t s = (tau_bits_span[tau_byte_off] >> tau_bit_off) & 0b1;
       const bool s_ = static_cast<bool>(s);
 
-      const auto tmp = _buf[off];
+      const auto tmp = buf_span[off];
       const bool flg = tmp <= static_cast<uint8_t>(i);
 
       const ml_dsa_field::zq_t br0[]{ poly[i], poly[tmp] };
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index 624a66c..1c187f3 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -31,7 +31,7 @@ do_one_computation(uint8_t* const data)
 
   uint8_t ret_val = 0;
 
-  sampling::expand_mask<dilithium2::γ1, dilithium2::l>(seed, kappa, vec);
+  ml_dsa_sampling::expand_mask<dilithium2::γ1, dilithium2::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
   ml_dsa_polyvec::ntt<dilithium2::l>(vec);
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index 5a36708..84d4fac 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -31,7 +31,7 @@ do_one_computation(uint8_t* const data)
 
   uint8_t ret_val = 0;
 
-  sampling::expand_mask<dilithium3::γ1, dilithium3::l>(seed, kappa, vec);
+  ml_dsa_sampling::expand_mask<dilithium3::γ1, dilithium3::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
   ml_dsa_polyvec::ntt<dilithium3::l>(vec);
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index fa5ab5d..669bb9a 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -31,7 +31,7 @@ do_one_computation(uint8_t* const data)
 
   uint8_t ret_val = 0;
 
-  sampling::expand_mask<dilithium5::γ1, dilithium5::l>(seed, kappa, vec);
+  ml_dsa_sampling::expand_mask<dilithium5::γ1, dilithium5::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
   ml_dsa_polyvec::ntt<dilithium5::l>(vec);
diff --git a/tests/test_sampling.cpp b/tests/test_sampling.cpp
index f278dad..f76c8f2 100644
--- a/tests/test_sampling.cpp
+++ b/tests/test_sampling.cpp
@@ -17,7 +17,7 @@ test_sample_in_ball()
   ml_dsa_prng::prng_t<256> prng;
 
   prng.read(_seed);
-  sampling::sample_in_ball<τ>(_seed, _poly);
+  ml_dsa_sampling::sample_in_ball<τ>(_seed, _poly);
 
   auto sqrd_norm = ml_dsa_field::zq_t::zero();
 

From 177892b437207160e5c2bccea9f9713415dd5323 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sat, 20 Jul 2024 23:49:07 +0400
Subject: [PATCH 21/37] Refactor ML-DSA core keygen, sign and verify functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 include/ml_dsa/dilithium2.hpp                 |   8 +-
 include/ml_dsa/dilithium3.hpp                 |   8 +-
 include/ml_dsa/dilithium5.hpp                 |   8 +-
 .../internals/{dilithium.hpp => ml_dsa.hpp}   | 250 +++++++++---------
 4 files changed, 130 insertions(+), 144 deletions(-)
 rename include/ml_dsa/internals/{dilithium.hpp => ml_dsa.hpp} (62%)

diff --git a/include/ml_dsa/dilithium2.hpp b/include/ml_dsa/dilithium2.hpp
index f433c14..b511c5e 100644
--- a/include/ml_dsa/dilithium2.hpp
+++ b/include/ml_dsa/dilithium2.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "ml_dsa/internals/dilithium.hpp"
+#include "ml_dsa/internals/ml_dsa.hpp"
 
 // Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
 // security level 2 parameters, as suggested in table 2 of
@@ -32,7 +32,7 @@ constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 inline void
 keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey, std::span<uint8_t, SecKeyLen> seckey)
 {
-  dilithium::keygen<k, l, d, η>(seed, pubkey, seckey);
+  ml_dsa::keygen<k, l, d, η>(seed, pubkey, seckey);
 }
 
 // Given a Dilithium2 secret key and a non-empty message M, this routine can be
@@ -49,7 +49,7 @@ sign(std::span<const uint8_t, 32> rnd,
      std::span<const uint8_t> msg,
      std::span<uint8_t, SigLen> sig)
 {
-  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
+  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
 
 // Given a Dilithium2 public key, a message M and a signature S, this routine
@@ -59,7 +59,7 @@ sign(std::span<const uint8_t, 32> rnd,
 inline bool
 verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
 {
-  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
+  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
 
 }
diff --git a/include/ml_dsa/dilithium3.hpp b/include/ml_dsa/dilithium3.hpp
index 300a814..f1c5d30 100644
--- a/include/ml_dsa/dilithium3.hpp
+++ b/include/ml_dsa/dilithium3.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "ml_dsa/internals/dilithium.hpp"
+#include "ml_dsa/internals/ml_dsa.hpp"
 
 // Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
 // security level 3 parameters, as suggested in table 2 of
@@ -32,7 +32,7 @@ constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 inline void
 keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey, std::span<uint8_t, SecKeyLen> seckey)
 {
-  dilithium::keygen<k, l, d, η>(seed, pubkey, seckey);
+  ml_dsa::keygen<k, l, d, η>(seed, pubkey, seckey);
 }
 
 // Given a Dilithium3 secret key and a non-empty message M, this routine can be
@@ -49,7 +49,7 @@ sign(std::span<const uint8_t, 32> rnd,
      std::span<const uint8_t> msg,
      std::span<uint8_t, SigLen> sig)
 {
-  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
+  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
 
 // Given a Dilithium3 public key, a message M and a signature S, this routine
@@ -59,7 +59,7 @@ sign(std::span<const uint8_t, 32> rnd,
 inline bool
 verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
 {
-  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
+  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
 
 }
diff --git a/include/ml_dsa/dilithium5.hpp b/include/ml_dsa/dilithium5.hpp
index b259b75..8e5c2f8 100644
--- a/include/ml_dsa/dilithium5.hpp
+++ b/include/ml_dsa/dilithium5.hpp
@@ -1,5 +1,5 @@
 #pragma once
-#include "ml_dsa/internals/dilithium.hpp"
+#include "ml_dsa/internals/ml_dsa.hpp"
 
 // Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
 // security level 5 parameters, as suggested in table 2 of
@@ -32,7 +32,7 @@ constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 inline void
 keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey, std::span<uint8_t, SecKeyLen> seckey)
 {
-  dilithium::keygen<k, l, d, η>(seed, pubkey, seckey);
+  ml_dsa::keygen<k, l, d, η>(seed, pubkey, seckey);
 }
 
 // Given a Dilithium5 secret key and a non-empty message M, this routine can be
@@ -49,7 +49,7 @@ sign(std::span<const uint8_t, 32> rnd,
      std::span<const uint8_t> msg,
      std::span<uint8_t, SigLen> sig)
 {
-  dilithium::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
+  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
 
 // Given a Dilithium5 public key, a message M and a signature S, this routine
@@ -59,7 +59,7 @@ sign(std::span<const uint8_t, 32> rnd,
 inline bool
 verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
 {
-  return dilithium::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
+  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
 
 }
diff --git a/include/ml_dsa/internals/dilithium.hpp b/include/ml_dsa/internals/ml_dsa.hpp
similarity index 62%
rename from include/ml_dsa/internals/dilithium.hpp
rename to include/ml_dsa/internals/ml_dsa.hpp
index a89ec6c..ae113fb 100644
--- a/include/ml_dsa/internals/dilithium.hpp
+++ b/include/ml_dsa/internals/ml_dsa.hpp
@@ -1,45 +1,41 @@
 #pragma once
+#include "ml_dsa/internals/math/field.hpp"
 #include "ml_dsa/internals/poly/polyvec.hpp"
 #include "ml_dsa/internals/poly/sampling.hpp"
 #include "ml_dsa/internals/utility/params.hpp"
 #include "ml_dsa/internals/utility/utils.hpp"
-#include <limits>
-#include <span>
+#include <algorithm>
 
-// Dilithium Post-Quantum Digital Signature Algorithm
-namespace dilithium {
+// ML-DSA FIPS 204
+namespace ml_dsa {
 
-// Given a 32 -bytes seed, this routine generates a public key and secret key
-// pair, using deterministic key generation algorithm, as described in figure 4
-// of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-//
-// See table 2 of specification for allowed parameters.
-//
-// Generated public key is of (32 + k * 320) -bytes.
-// Generated secret key is of (96 + 32 * (k * ebw + l * ebw + k * d)) -bytes
-//
-// Note, ebw = ceil(log2(2 * η + 1))
+// Byte length of seed ξ, required for key generation.
+static constexpr size_t KEYGEN_SEED_BYTE_LEN = 32;
+
+// Byte length of randomness, required for hedged signing.
+static constexpr size_t RND_BYTE_LEN = 32;
+
+// Given seed ξ, this routine generates a public key and secret key pair, using deterministic key generation algorithm.
 //
-// See section 5.4 of specification for public key and secret key byte length.
+// See algorithm 1 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t l, size_t d, uint32_t η>
 static inline void
-keygen(std::span<const uint8_t, 32> seed,
+keygen(std::span<const uint8_t, KEYGEN_SEED_BYTE_LEN> ξ,
        std::span<uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
        std::span<uint8_t, ml_dsa_utils::sec_key_len(k, l, η, d)> seckey)
   requires(ml_dsa_params::check_keygen_params(k, l, d, η))
 {
   std::array<uint8_t, 32 + 64 + 32> seed_hash{};
-  auto _seed_hash = std::span(seed_hash);
+  auto seed_hash_span = std::span(seed_hash);
 
   shake256::shake256_t hasher;
-  hasher.absorb(seed);
+  hasher.absorb(ξ);
   hasher.finalize();
-  hasher.squeeze(_seed_hash);
+  hasher.squeeze(seed_hash_span);
 
-  auto rho = _seed_hash.template subspan<0, 32>();
-  auto rho_prime = _seed_hash.template subspan<rho.size(), 64>();
-  auto key = _seed_hash.template subspan<rho.size() + rho_prime.size(), 32>();
+  auto rho = seed_hash_span.template first<32>();
+  auto rho_prime = seed_hash_span.template subspan<rho.size(), 64>();
+  auto key = seed_hash_span.template last<32>();
 
   std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
   ml_dsa_sampling::expand_a<k, l>(rho, A);
@@ -74,8 +70,8 @@ keygen(std::span<const uint8_t, 32> seed,
   constexpr size_t pkoff1 = pkoff0 + rho.size();
   constexpr size_t pkoff2 = pubkey.size();
 
-  std::memcpy(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>().data(), rho.data(), rho.size());
-  ml_dsa_polyvec::encode<k, t1_bw>(t1, pubkey.template subspan<pkoff1, pkoff2 - pkoff1>());
+  std::copy(rho.begin(), rho.end(), pubkey.begin());
+  ml_dsa_polyvec::encode<k, t1_bw>(t1, pubkey.template last<pkoff2 - pkoff1>());
 
   // Prepare secret key
   hasher.reset();
@@ -95,9 +91,9 @@ keygen(std::span<const uint8_t, 32> seed,
   constexpr size_t skoff5 = skoff4 + s2_len;
   constexpr size_t skoff6 = seckey.size();
 
-  std::memcpy(seckey.template subspan<skoff0, skoff1 - skoff0>().data(), rho.data(), rho.size());
-  std::memcpy(seckey.template subspan<skoff1, skoff2 - skoff1>().data(), key.data(), key.size());
-  std::memcpy(seckey.template subspan<skoff2, skoff3 - skoff2>().data(), tr.data(), tr.size());
+  std::copy(rho.begin(), rho.end(), seckey.template subspan<skoff0, skoff1 - skoff0>().begin());
+  std::copy(key.begin(), key.end(), seckey.template subspan<skoff1, skoff2 - skoff1>().begin());
+  std::copy(tr.begin(), tr.end(), seckey.template subspan<skoff2, skoff3 - skoff2>().begin());
 
   ml_dsa_polyvec::sub_from_x<l, η>(s1);
   ml_dsa_polyvec::sub_from_x<k, η>(s2);
@@ -111,32 +107,18 @@ keygen(std::span<const uint8_t, 32> seed,
   ml_dsa_polyvec::encode<k, d>(t0, seckey.template subspan<skoff5, skoff6 - skoff5>());
 }
 
-// Given a Dilithium secret key and non-empty message, this routine uses
-// Dilithium signing algorithm for computing deterministic ( default choice ) or
-// randomized signature for input messsage M, using provided parameters.
+// Given a ML-DSA secret key and message (can be empty too), this routine computes a hedged/ deterministic signature.
 //
-// If you're interested in generating randomized signature, you should pass
-// truth value for last template parameter ( find `randomized` ). By default,
-// this implementation generates deterministic signature i.e. for same message
-// M, it'll generate same signature everytime. Note, when randomized signing is
-// enabled ( compile-time choice ), uniform random 64 -bytes seed must be passed
-// using last function parameter ( see `seed` ), which can be left empty ( say
-// set to nullptr ) in case you're not adopting to use randomized signing.
+// Notice, first parameter of this function, `rnd`, which lets you pass 32 -bytes randomness for generating default
+// "hedged" signature. In case you don't need randomized message signature, you can instead fill `rnd` with zeros, and
+// it'll generate a deterministic signature.
 //
-// Signing algorithm is described in figure 4 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// Note, hedged signing is the default and recommended version.
 //
-// For Dilithium parameters, see table 2 of specification.
-//
-// Generated signature is of (32 + (32 * l * gamma1_bw) + (ω + k)) -bytes
-//
-// s.t. gamma1_bw = floor(log2(γ1)) + 1
-//
-// See section 5.4 of specification for understanding how signature is byte
-// serialized.
+// See algorithm 2 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t l, size_t d, uint32_t η, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline void
-sign(std::span<const uint8_t, 32> rnd,
+sign(std::span<const uint8_t, RND_BYTE_LEN> rnd,
      std::span<const uint8_t, ml_dsa_utils::sec_key_len(k, l, η, d)> seckey,
      std::span<const uint8_t> msg,
      std::span<uint8_t, ml_dsa_utils::sig_len(k, l, γ1, ω, λ)> sig)
@@ -163,20 +145,20 @@ sign(std::span<const uint8_t, 32> rnd,
   ml_dsa_sampling::expand_a<k, l>(rho, A);
 
   std::array<uint8_t, 64> mu{};
-  auto _mu = std::span(mu);
+  auto mu_span = std::span(mu);
 
   shake256::shake256_t hasher;
   hasher.absorb(tr);
   hasher.absorb(msg);
   hasher.finalize();
-  hasher.squeeze(_mu);
+  hasher.squeeze(mu_span);
 
   std::array<uint8_t, 64> rho_prime{};
 
   hasher.reset();
   hasher.absorb(key);
   hasher.absorb(rnd);
-  hasher.absorb(_mu);
+  hasher.absorb(mu_span);
   hasher.finalize();
   hasher.squeeze(rho_prime);
 
@@ -225,19 +207,18 @@ sign(std::span<const uint8_t, 32> rnd,
     constexpr size_t w1bw = std::bit_width(m - 1u);
 
     std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w1{};
-    std::array<uint8_t, _mu.size() + (k * w1bw * 32)> hash_in{};
-    auto _hash_in = std::span(hash_in);
-    std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
+    std::array<uint8_t, k * w1bw * 32> w1_encoded{};
 
     ml_dsa_polyvec::highbits<k, α>(w, w1);
-
-    std::memcpy(_hash_in.template subspan<0, _mu.size()>().data(), _mu.data(), _mu.size());
-    ml_dsa_polyvec::encode<k, w1bw>(w1, _hash_in.template subspan<_mu.size(), _hash_in.size() - _mu.size()>());
+    ml_dsa_polyvec::encode<k, w1bw>(w1, w1_encoded);
 
     hasher.reset();
-    hasher.absorb(_hash_in);
+    hasher.absorb(mu_span);
+    hasher.absorb(w1_encoded);
     hasher.finalize();
-    hasher.squeeze(c_tilda);
+    hasher.squeeze(c_tilda_span);
+
+    std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
 
     ml_dsa_sampling::sample_in_ball<τ>(c1_tilda, c);
     ml_dsa_ntt::ntt(c);
@@ -261,54 +242,56 @@ sign(std::span<const uint8_t, 32> rnd,
     constexpr ml_dsa_field::zq_t bound0(γ1 - β);
     constexpr ml_dsa_field::zq_t bound1(γ2 - β);
 
-    const bool flg0 = z_norm >= bound0;
-    const bool flg1 = r0_norm >= bound1;
-    const bool flg2 = flg0 | flg1;
+    if ((z_norm >= ml_dsa_field::zq_t(γ1 - β)) || (r0_norm >= ml_dsa_field::zq_t(γ2 - β))) {
+      has_signed = false;
+    } else {
+      std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h0{};
+      std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h1{};
 
-    has_signed = !flg2;
+      ml_dsa_polyvec::mul_by_poly<k>(c, t0, h0);
+      ml_dsa_polyvec::intt<k>(h0);
 
-    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h0{};
-    std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h1{};
+      std::copy(h0.begin(), h0.end(), h1.begin());
 
-    ml_dsa_polyvec::mul_by_poly<k>(c, t0, h0);
-    ml_dsa_polyvec::intt<k>(h0);
-    std::copy(h0.begin(), h0.end(), h1.begin());
-    ml_dsa_polyvec::neg<k>(h0);
-    ml_dsa_polyvec::add_to<k>(h1, r1);
-    ml_dsa_polyvec::make_hint<k, α>(h0, r1, h);
+      ml_dsa_polyvec::neg<k>(h0);
+      ml_dsa_polyvec::add_to<k>(h1, r1);
+      ml_dsa_polyvec::make_hint<k, α>(h0, r1, h);
 
-    const ml_dsa_field::zq_t ct0_norm = ml_dsa_polyvec::infinity_norm<k>(h1);
-    const size_t count_1 = ml_dsa_polyvec::count_1s<k>(h);
+      const ml_dsa_field::zq_t ct0_norm = ml_dsa_polyvec::infinity_norm<k>(h1);
+      const size_t count_1s = ml_dsa_polyvec::count_1s<k>(h);
 
-    constexpr ml_dsa_field::zq_t bound2(γ2);
+      constexpr ml_dsa_field::zq_t bound2(γ2);
 
-    const bool flg3 = ct0_norm >= bound2;
-    const bool flg4 = count_1 > ω;
-    const bool flg5 = flg3 | flg4;
+      if ((ct0_norm >= ml_dsa_field::zq_t(γ2)) || (count_1s > ω)) {
+        has_signed = false;
+      } else {
+        has_signed = true;
+      }
+    }
 
-    has_signed = has_signed & !flg5;
     kappa += static_cast<uint16_t>(l);
   }
 
   constexpr size_t gamma1_bw = std::bit_width(γ1);
+
   constexpr size_t sigoff0 = 0;
-  constexpr size_t sigoff1 = sigoff0 + c_tilda.size();
+  constexpr size_t sigoff1 = sigoff0 + c_tilda_span.size();
   constexpr size_t sigoff2 = sigoff1 + (32 * l * gamma1_bw);
   constexpr size_t sigoff3 = sig.size();
 
-  std::memcpy(sig.template subspan<sigoff0, sigoff1 - sigoff0>().data(), c_tilda.data(), c_tilda.size());
+  std::copy(c_tilda_span.begin(), c_tilda_span.end(), sig.template subspan<sigoff0, sigoff1 - sigoff0>().begin());
+
   ml_dsa_polyvec::sub_from_x<l, γ1>(z);
   ml_dsa_polyvec::encode<l, gamma1_bw>(z, sig.template subspan<sigoff1, sigoff2 - sigoff1>());
+
   ml_dsa_bit_packing::encode_hint_bits<k, ω>(h, sig.template subspan<sigoff2, sigoff3 - sigoff2>());
 }
 
-// Given a Dilithium public key, message bytes and serialized signature, this
-// routine verifies the correctness of signature, returning boolean result,
-// denoting status of signature verification. For example, say it returns true,
-// it means signature has successfully been verified.
+// Given a ML-DSA public key, message (can be empty too) and serialized signature, this routine verifies the correctness
+// of signature, returning boolean result, denoting status of signature verification. For example, say it returns true,
+// it means signature is valid for given message and public key.
 //
-// Verification algorithm is described in figure 4 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// See algorithm 3 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t l, size_t d, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline bool
 verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
@@ -317,22 +300,57 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   requires(ml_dsa_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
 {
   constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
-
-  constexpr size_t pkoff0 = 0;
-  constexpr size_t pkoff1 = pkoff0 + 32;
-  constexpr size_t pkoff2 = pubkey.size();
-
   constexpr size_t gamma1_bw = std::bit_width(γ1);
+
+  // Decode signature
   constexpr size_t sigoff0 = 0;
   constexpr size_t sigoff1 = sigoff0 + (2 * λ) / std::numeric_limits<uint8_t>::digits;
   constexpr size_t sigoff2 = sigoff1 + (32 * l * gamma1_bw);
   constexpr size_t sigoff3 = sig.size();
 
+  auto c_tilda = sig.template first<sigoff1 - sigoff0>();
+  auto c1_tilda = c_tilda.template first<32>();
+  auto c2_tilda = c_tilda.template last<32>();
+  auto z_encoded = sig.template subspan<sigoff1, sigoff2 - sigoff1>();
+  auto h_encoded = sig.template subspan<sigoff2, sigoff3 - sigoff2>();
+
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h{};
+  const bool has_failed = ml_dsa_bit_packing::decode_hint_bits<k, ω>(h_encoded, h);
+  if (has_failed) {
+    return false;
+  }
+
+  const size_t count_1s = ml_dsa_polyvec::count_1s<k>(h);
+  if (count_1s > ω) {
+    return false;
+  }
+
+  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
+  ml_dsa_sampling::sample_in_ball<τ>(c1_tilda, c);
+  ml_dsa_ntt::ntt(c);
+
+  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> z{};
+  ml_dsa_polyvec::decode<l, gamma1_bw>(z_encoded, z);
+  ml_dsa_polyvec::sub_from_x<l, γ1>(z);
+
+  const ml_dsa_field::zq_t z_norm = ml_dsa_polyvec::infinity_norm<l>(z);
+  if (z_norm >= ml_dsa_field::zq_t(γ1 - β)) {
+    return false;
+  }
+
+  // Decode public key
+  constexpr size_t pkoff0 = 0;
+  constexpr size_t pkoff1 = pkoff0 + 32;
+  constexpr size_t pkoff2 = pubkey.size();
+
+  auto rho = pubkey.template subspan<pkoff0, pkoff1 - pkoff0>();
+  auto t1_encoded = pubkey.template subspan<pkoff1, pkoff2 - pkoff1>();
+
   std::array<ml_dsa_field::zq_t, k * l * ml_dsa_ntt::N> A{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> t1{};
 
-  ml_dsa_sampling::expand_a<k, l>(pubkey.template subspan<pkoff0, pkoff1 - pkoff0>(), A);
-  ml_dsa_polyvec::decode<k, t1_bw>(pubkey.template subspan<pkoff1, pkoff2 - pkoff1>(), t1);
+  ml_dsa_sampling::expand_a<k, l>(rho, A);
+  ml_dsa_polyvec::decode<k, t1_bw>(t1_encoded, t1);
 
   std::array<uint8_t, 64> tr{};
   std::array<uint8_t, 64> mu{};
@@ -348,28 +366,10 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
   hasher.finalize();
   hasher.squeeze(mu);
 
-  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> c{};
-  auto c_tilda = sig.template first<sigoff1 - sigoff0>();
-  auto c1_tilda = c_tilda.template first<32>();
-  auto c2_tilda = c_tilda.template last<32>();
-
-  ml_dsa_sampling::sample_in_ball<τ>(c1_tilda, c);
-  ml_dsa_ntt::ntt(c);
-
-  std::array<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> z{};
-  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h{};
-
-  ml_dsa_polyvec::decode<l, gamma1_bw>(sig.template subspan<sigoff1, sigoff2 - sigoff1>(), z);
-  ml_dsa_polyvec::sub_from_x<l, γ1>(z);
-  const bool failed = ml_dsa_bit_packing::decode_hint_bits<k, ω>(sig.template subspan<sigoff2, sigoff3 - sigoff2>(), h);
-
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w0{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w1{};
   std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> w2{};
 
-  const ml_dsa_field::zq_t z_norm = ml_dsa_polyvec::infinity_norm<l>(z);
-  const size_t count_1 = ml_dsa_polyvec::count_1s<k>(h);
-
   ml_dsa_polyvec::ntt<l>(z);
   ml_dsa_polyvec::matrix_multiply<k, l, l, 1>(A, z, w0);
 
@@ -387,32 +387,18 @@ verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
 
   ml_dsa_polyvec::use_hint<k, α>(h, w2, w1);
 
-  std::array<uint8_t, mu.size() + (k * w1bw * 32)> hash_in{};
-  std::array<uint8_t, (2 * λ) / std::numeric_limits<uint8_t>::digits> c_tilda_prime{};
-
-  auto _hash_in = std::span(hash_in);
+  std::array<uint8_t, k * w1bw * 32> w1_encoded{};
+  ml_dsa_polyvec::encode<k, w1bw>(w1, w1_encoded);
 
-  std::memcpy(_hash_in.template subspan<0, mu.size()>().data(), mu.data(), mu.size());
-  ml_dsa_polyvec::encode<k, w1bw>(w1, _hash_in.template subspan<mu.size(), _hash_in.size() - mu.size()>());
+  std::array<uint8_t, c_tilda.size()> c_tilda_prime{};
 
   hasher.reset();
-  hasher.absorb(_hash_in);
+  hasher.absorb(mu);
+  hasher.absorb(w1_encoded);
   hasher.finalize();
   hasher.squeeze(c_tilda_prime);
 
-  constexpr ml_dsa_field::zq_t bound0(γ1 - β);
-
-  const bool flg0 = z_norm < bound0;
-  bool flg1 = false;
-  const bool flg2 = count_1 <= ω;
-
-  for (size_t i = 0; i < c_tilda_prime.size(); i++) {
-    flg1 |= static_cast<bool>(sig[sigoff0 + i] ^ c_tilda_prime[i]);
-  }
-
-  const bool flg3 = flg0 & !flg1 & flg2;
-  const bool flg4 = !failed & flg3;
-  return flg4;
+  return std::equal(c_tilda.begin(), c_tilda.end(), c_tilda_prime.begin());
 }
 
 }

From 0f79ef3731d4fbf5677b7f4802ba68b5e1161bf2 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 21 Jul 2024 22:45:32 +0400
Subject: [PATCH 22/37] Refactor ML-DSA-44 instantiation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 README.md                                  | 22 +++----
 benchmarks/dilithium2.cpp                  | 32 +++++------
 examples/{dilithium2.cpp => ml_dsa_44.cpp} | 22 +++----
 include/ml_dsa/dilithium2.hpp              | 65 ---------------------
 include/ml_dsa/ml_dsa_44.hpp               | 67 ++++++++++++++++++++++
 tests/dudect/test_dilithium2.cpp           | 32 +++++------
 tests/test_signing.cpp                     | 20 +++----
 tests/test_signing_kat.cpp                 | 20 +++----
 8 files changed, 141 insertions(+), 139 deletions(-)
 rename examples/{dilithium2.cpp => ml_dsa_44.cpp} (74%)
 delete mode 100644 include/ml_dsa/dilithium2.hpp
 create mode 100644 include/ml_dsa/ml_dsa_44.hpp

diff --git a/README.md b/README.md
index 0fa25b4..83648b2 100644
--- a/README.md
+++ b/README.md
@@ -421,14 +421,14 @@ Let's walk through an example, where I show you how to use Dilithium key generat
 // main.cpp
 
 // In case interested in using Dilithium3 or Dilithium5 API, import "dilithium3.hpp" or "dilithium5.hpp" and use keygen/ sign/ verify functions living either under `dilithium3::` or `dilithium5::` namespace.
-#include "dilithium2.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
 #include <array>
-#include "prng.hpp"
+#include "ml_dsa/internals/rng/prng.hpp"
 
 int main() {
     std::array<uint8_t, 32> seed{};
-    std::array<uint8_t, dilithium2::PubKeyLen> pubkey{};
-    std::array<uint8_t, dilithium2::SecKeyLen> seckey{};
+    std::array<uint8_t, ml_dsa_44::PubKeyLen> pubkey{};
+    std::array<uint8_t, ml_dsa_44::SecKeyLen> seckey{};
 
     // Sample seed bytes from PRNG
     //
@@ -437,7 +437,7 @@ int main() {
     ml_dsa_prng::prng_t<128> prng;
     prng.read(seed);
 
-    dilithium2::keygen(seed, pubkey, seckey);
+    ml_dsa_44::keygen(seed, pubkey, seckey);
 
     // ...
 
@@ -453,14 +453,14 @@ int main() {
   // ...
 
   std::array<uint8_t, 32> msg{};
-  std::array<uint8_t, dilithium2::SigLen> sig{};
+  std::array<uint8_t, ml_dsa_44::SigLen> sig{};
 
   // Sample a psuedo-random message, to be signed
   prng.read(msg);
 
   // Default behaviour is deterministic signing and you can safely pass
   // an empty std::span (i.e. `{}`) for last parameter i.e. random seed.
-  dilithium2::sign(seckey, msg, sig, {});
+  ml_dsa_44::sign(seckey, msg, sig, {});
 
   // ...
 
@@ -484,7 +484,7 @@ int main() {
   prng.read(rnd_seed);
 
   // You must pass a 64 -bytes random seed when you explicitly opt for randomized signing.
-  dilithium2::sign<true>(seckey, msg, sig, rnd_seed);
+  ml_dsa_44::sign<true>(seckey, msg, sig, rnd_seed);
 
   return 0;
 }
@@ -503,17 +503,17 @@ int main() {
   // Randomized Signing ( explicit )
   // ...
 
-  const bool flg = dilithium2::verify(pubkey, msg, sig);
+  const bool flg = ml_dsa_44::verify(pubkey, msg, sig);
   assert(flg);
 
   return 0;
 }
 ```
 
-I suggest you look at example [program](./examples/dilithium2.cpp), which demonstrates how to use Dilithium2 API, similarly you can use Dilithium{3,5} API.
+I suggest you look at example [program](./examples/ml_dsa_44.cpp), which demonstrates how to use Dilithium2 API, similarly you can use Dilithium{3,5} API.
 
 ```bash
-$ g++ -std=c++20 -Wall -Wextra -pedantic -O3 -march=native -I ./include -I ./sha3/include examples/dilithium2.cpp && ./a.out
+$ g++ -std=c++20 -Wall -Wextra -pedantic -O3 -march=native -I ./include -I ./sha3/include examples/ml_dsa_44.cpp && ./a.out
 Dilithium @ NIST security level 2
 seed      : e9ae2e74d3bc6e60b4966eb0da2f6d03c0d864ef7b001947d294d64cb90fd8c7
 pubkey    : 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
diff --git a/benchmarks/dilithium2.cpp b/benchmarks/dilithium2.cpp
index 766d180..7dc8d8d 100644
--- a/benchmarks/dilithium2.cpp
+++ b/benchmarks/dilithium2.cpp
@@ -1,5 +1,5 @@
-#include "ml_dsa/dilithium2.hpp"
 #include "bench_helper.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
 #include <benchmark/benchmark.h>
 
 // Benchmark Dilithium2 key generation algorithm's performance
@@ -7,8 +7,8 @@ inline void
 dilithium2_keygen(benchmark::State& state)
 {
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium2::PubKeyLen;
-  constexpr size_t sklen = dilithium2::SecKeyLen;
+  constexpr size_t pklen = ml_dsa_44::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_44::SecKeyLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pubkey(pklen, 0);
@@ -22,7 +22,7 @@ dilithium2_keygen(benchmark::State& state)
   prng.read(_seed);
 
   for (auto _ : state) {
-    dilithium2::keygen(_seed, _pubkey, _seckey);
+    ml_dsa_44::keygen(_seed, _pubkey, _seckey);
 
     benchmark::DoNotOptimize(_seed);
     benchmark::DoNotOptimize(_pubkey);
@@ -39,9 +39,9 @@ dilithium2_sign(benchmark::State& state)
 {
   const size_t mlen = state.range(0);
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium2::PubKeyLen;
-  constexpr size_t sklen = dilithium2::SecKeyLen;
-  constexpr size_t siglen = dilithium2::SigLen;
+  constexpr size_t pklen = ml_dsa_44::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_44::SecKeyLen;
+  constexpr size_t siglen = ml_dsa_44::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pkey(pklen, 0);
@@ -59,10 +59,10 @@ dilithium2_sign(benchmark::State& state)
   prng.read(_seed);
   prng.read(_msg);
 
-  dilithium2::keygen(_seed, _pkey, _skey);
+  ml_dsa_44::keygen(_seed, _pkey, _skey);
 
   for (auto _ : state) {
-    dilithium2::sign(_skey, _msg, _sig, {});
+    ml_dsa_44::sign(_skey, _msg, _sig, {});
 
     benchmark::DoNotOptimize(_skey);
     benchmark::DoNotOptimize(_msg);
@@ -71,7 +71,7 @@ dilithium2_sign(benchmark::State& state)
   }
 
   state.SetItemsProcessed(state.iterations());
-  assert(dilithium2::verify(_pkey, _msg, _sig));
+  assert(ml_dsa_44::verify(_pkey, _msg, _sig));
 }
 
 // Benchmark Dilithium2 signature verification routine's performance
@@ -80,9 +80,9 @@ dilithium2_verify(benchmark::State& state)
 {
   const size_t mlen = state.range(0);
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium2::PubKeyLen;
-  constexpr size_t sklen = dilithium2::SecKeyLen;
-  constexpr size_t siglen = dilithium2::SigLen;
+  constexpr size_t pklen = ml_dsa_44::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_44::SecKeyLen;
+  constexpr size_t siglen = ml_dsa_44::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pkey(pklen, 0);
@@ -100,11 +100,11 @@ dilithium2_verify(benchmark::State& state)
   prng.read(_seed);
   prng.read(_msg);
 
-  dilithium2::keygen(_seed, _pkey, _skey);
-  dilithium2::sign(_skey, _msg, _sig, {});
+  ml_dsa_44::keygen(_seed, _pkey, _skey);
+  ml_dsa_44::sign(_skey, _msg, _sig, {});
 
   for (auto _ : state) {
-    bool flg = dilithium2::verify(_pkey, _msg, _sig);
+    bool flg = ml_dsa_44::verify(_pkey, _msg, _sig);
 
     benchmark::DoNotOptimize(flg);
     benchmark::DoNotOptimize(_pkey);
diff --git a/examples/dilithium2.cpp b/examples/ml_dsa_44.cpp
similarity index 74%
rename from examples/dilithium2.cpp
rename to examples/ml_dsa_44.cpp
index 79dfab0..95b464f 100644
--- a/examples/dilithium2.cpp
+++ b/examples/ml_dsa_44.cpp
@@ -1,4 +1,4 @@
-#include "ml_dsa/dilithium2.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
 #include "ml_dsa/internals/rng/prng.hpp"
 #include <cassert>
 #include <iostream>
@@ -21,7 +21,7 @@ to_hex(std::span<const uint8_t> bytes)
 
 // Compile it with
 //
-// g++ -std=c++20 -O3 -march=native -I ./include -I ./sha3/include examples/dilithium2.cpp
+// g++ -std=c++20 -O3 -march=native -I ./include -I ./sha3/include examples/ml_dsa_44.cpp
 int
 main()
 {
@@ -31,16 +31,16 @@ main()
   std::vector<uint8_t> seed(slen);
   std::vector<uint8_t> rnd(slen);
   std::vector<uint8_t> msg(mlen);
-  std::vector<uint8_t> pubkey(dilithium2::PubKeyLen);
-  std::vector<uint8_t> seckey(dilithium2::SecKeyLen);
-  std::vector<uint8_t> sig(dilithium2::SigLen);
+  std::vector<uint8_t> pubkey(ml_dsa_44::PubKeyLen);
+  std::vector<uint8_t> seckey(ml_dsa_44::SecKeyLen);
+  std::vector<uint8_t> sig(ml_dsa_44::SigLen);
 
   auto _seed = std::span<uint8_t, slen>(seed);
   auto _rnd = std::span<uint8_t, slen>(rnd);
   auto _msg = std::span(msg);
-  auto _pubkey = std::span<uint8_t, dilithium2::PubKeyLen>(pubkey);
-  auto _seckey = std::span<uint8_t, dilithium2::SecKeyLen>(seckey);
-  auto _sig = std::span<uint8_t, dilithium2::SigLen>(sig);
+  auto _pubkey = std::span<uint8_t, ml_dsa_44::PubKeyLen>(pubkey);
+  auto _seckey = std::span<uint8_t, ml_dsa_44::SecKeyLen>(seckey);
+  auto _sig = std::span<uint8_t, ml_dsa_44::SigLen>(sig);
 
   // Generate random 32 -bytes seed, 32 -bytes randomness (for signing) and N -bytes message ( to be signed )
   ml_dsa_prng::prng_t<128> prng;
@@ -50,9 +50,9 @@ main()
   prng.read(_msg);
 
   // Key generation -> signing -> verification
-  dilithium2::keygen(_seed, _pubkey, _seckey);
-  dilithium2::sign(_rnd, _seckey, _msg, _sig);
-  const bool flg = dilithium2::verify(_pubkey, _msg, _sig);
+  ml_dsa_44::keygen(_seed, _pubkey, _seckey);
+  ml_dsa_44::sign(_rnd, _seckey, _msg, _sig);
+  const bool flg = ml_dsa_44::verify(_pubkey, _msg, _sig);
 
   std::cout << "Dilithium @ NIST security level 2\n";
   std::cout << "seed      : " << to_hex(_seed) << "\n";
diff --git a/include/ml_dsa/dilithium2.hpp b/include/ml_dsa/dilithium2.hpp
deleted file mode 100644
index b511c5e..0000000
--- a/include/ml_dsa/dilithium2.hpp
+++ /dev/null
@@ -1,65 +0,0 @@
-#pragma once
-#include "ml_dsa/internals/ml_dsa.hpp"
-
-// Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
-// security level 2 parameters, as suggested in table 2 of
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-namespace dilithium2 {
-
-// See NIST security level 2 parameter set, in table 2 of the specification.
-constexpr size_t d = 13;
-constexpr uint32_t τ = 39;
-constexpr uint32_t γ1 = 1u << 17;
-constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 88;
-constexpr size_t k = 4;
-constexpr size_t l = 4;
-constexpr uint32_t η = 2;
-constexpr uint32_t β = τ * η;
-constexpr size_t ω = 80;
-constexpr size_t λ = 128;
-
-// = 1312 -bytes Dilithium2 public key
-constexpr size_t PubKeyLen = ml_dsa_utils::pub_key_len(k, d);
-
-// = 2560 -bytes Dilithium2 secret key
-constexpr size_t SecKeyLen = ml_dsa_utils::sec_key_len(k, l, η, d);
-
-// = 2420 -bytes Dilithium2 signature
-constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
-
-// Given a 32 -bytes seed, this routine can be used for generating a fresh
-// Dilithium2 keypair.
-inline void
-keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey, std::span<uint8_t, SecKeyLen> seckey)
-{
-  ml_dsa::keygen<k, l, d, η>(seed, pubkey, seckey);
-}
-
-// Given a Dilithium2 secret key and a non-empty message M, this routine can be
-// used for signing the message, computing the signature either
-// deterministically ( by default ) or non-deterministically - a compile-time
-// decision using template parameter. In case you opt for using randomized
-// signing, ensure that you pass 64 -bytes uniform random sampled seed, using
-// last parameter of the function. If you choose (default) deterministic
-// signing, you can safely pass `nullptr` for last parameter of this function -
-// as that seed will never be accessed during signing.
-inline void
-sign(std::span<const uint8_t, 32> rnd,
-     std::span<const uint8_t, SecKeyLen> seckey,
-     std::span<const uint8_t> msg,
-     std::span<uint8_t, SigLen> sig)
-{
-  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
-}
-
-// Given a Dilithium2 public key, a message M and a signature S, this routine
-// can be used for verifying if the signature is valid for the provided message
-// or not, returning truth value only in case of successful signature
-// verification, otherwise false is returned.
-inline bool
-verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
-{
-  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
-}
-
-}
diff --git a/include/ml_dsa/ml_dsa_44.hpp b/include/ml_dsa/ml_dsa_44.hpp
new file mode 100644
index 0000000..c7d83e7
--- /dev/null
+++ b/include/ml_dsa/ml_dsa_44.hpp
@@ -0,0 +1,67 @@
+#pragma once
+#include "ml_dsa/internals/ml_dsa.hpp"
+
+namespace ml_dsa_44 {
+
+// See table 1 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd
+static constexpr size_t d = 13;
+static constexpr uint32_t τ = 39;
+static constexpr uint32_t γ1 = 1u << 17;
+static constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 88;
+static constexpr size_t k = 4;
+static constexpr size_t l = 4;
+static constexpr uint32_t η = 2;
+static constexpr uint32_t β = τ * η;
+static constexpr size_t ω = 80;
+static constexpr size_t λ = 128;
+
+// Byte length ( = 32 ) of ML-DSA-44 key generation seed.
+static constexpr size_t KeygenSeedByteLen = ml_dsa::KEYGEN_SEED_BYTE_LEN;
+
+// Byte length ( = 1312 ) of ML-DSA-44 public key.
+static constexpr size_t PubKeyByteLen = ml_dsa_utils::pub_key_len(k, d);
+
+// Byte length ( = 2560 ) of ML-DSA-44 secret key.
+static constexpr size_t SecKeyByteLen = ml_dsa_utils::sec_key_len(k, l, η, d);
+
+// Byte length ( = 32 ) of ML-DSA-44 signing seed.
+static constexpr size_t SigningSeedByteLen = ml_dsa::RND_BYTE_LEN;
+
+// Byte length ( = 2420 ) of ML-DSA-44 signature.
+static constexpr size_t SigByteLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
+
+// Given a 32 -bytes seed, this routine can be used for generating a fresh ML-DSA-44 keypair.
+inline void
+keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
+       std::span<uint8_t, PubKeyByteLen> pubkey,
+       std::span<uint8_t, SecKeyByteLen> seckey)
+{
+  ml_dsa::keygen<k, l, d, η>(ξ, pubkey, seckey);
+}
+
+// Given a 32 -bytes seed `rnd` and ML-DSA-44 secret key, this routine can be used for signing any arbitrary (>=0)
+// length message M, producing a ML-DSA-44 signature S.
+//
+// Default (and recommended) signing mode is "hedged" i.e. using 32B input randomness for signing, results into
+// randomized signature. For "deterministic" signing mode, simply fill `rnd` with zero bytes.
+inline void
+sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
+     std::span<const uint8_t, SecKeyByteLen> seckey,
+     std::span<const uint8_t> msg,
+     std::span<uint8_t, SigByteLen> sig)
+{
+  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
+}
+
+// Given a ML-DSA-44 public key, a message M and a signature S, this routine can be used for verifying if the signature
+// is valid for the provided message or not, returning truth value only in case of successful signature verification,
+// otherwise false is returned.
+inline bool
+verify(std::span<const uint8_t, PubKeyByteLen> pubkey,
+       std::span<const uint8_t> msg,
+       std::span<const uint8_t, SigByteLen> sig)
+{
+  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
+}
+
+}
diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_dilithium2.cpp
index 1c187f3..d9f55ef 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_dilithium2.cpp
@@ -1,4 +1,4 @@
-#include "ml_dsa/dilithium2.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
 #include <cstdio>
 
 #define DUDECT_IMPLEMENTATION
@@ -10,20 +10,20 @@ constexpr size_t SEED_LEN = 32; // Byte length of seed(s)
 uint8_t
 do_one_computation(uint8_t* const data)
 {
-  constexpr uint32_t α = dilithium2::γ2 << 1;
+  constexpr uint32_t α = ml_dsa_44::γ2 << 1;
   constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<ml_dsa_field::zq_t, dilithium2::l * ml_dsa_ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, ml_dsa_44::l * ml_dsa_ntt::N> vec{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
   std::array<uint8_t, (vec_high.size() * w1bw) / 8> encoded{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> decoded{};
-  std::array<uint8_t, dilithium2::ω + dilithium2::l> encoded_hints{};
+  std::array<uint8_t, ml_dsa_44::ω + ml_dsa_44::l> encoded_hints{};
   std::array<ml_dsa_field::zq_t, vec.size()> decoded_hints{};
 
   auto seed = std::span<const uint8_t, 2 * SEED_LEN>(data + doff0, doff1 - doff0);
@@ -31,40 +31,40 @@ do_one_computation(uint8_t* const data)
 
   uint8_t ret_val = 0;
 
-  ml_dsa_sampling::expand_mask<dilithium2::γ1, dilithium2::l>(seed, kappa, vec);
+  ml_dsa_sampling::expand_mask<ml_dsa_44::γ1, ml_dsa_44::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::ntt<dilithium2::l>(vec);
+  ml_dsa_polyvec::ntt<ml_dsa_44::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::intt<dilithium2::l>(vec);
+  ml_dsa_polyvec::intt<ml_dsa_44::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::highbits<dilithium2::l, α>(vec, vec_high);
+  ml_dsa_polyvec::highbits<ml_dsa_44::l, α>(vec, vec_high);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_high[vec_high.size() - 1].raw());
 
-  ml_dsa_polyvec::lowbits<dilithium2::l, α>(vec, vec_low);
+  ml_dsa_polyvec::lowbits<ml_dsa_44::l, α>(vec, vec_low);
   ret_val ^= static_cast<uint8_t>(vec_low[0].raw() ^ vec_low[vec_low.size() - 1].raw());
 
-  ml_dsa_polyvec::encode<dilithium2::l, w1bw>(vec_high, encoded);
+  ml_dsa_polyvec::encode<ml_dsa_44::l, w1bw>(vec_high, encoded);
   ret_val ^= encoded[0] ^ encoded[encoded.size() - 1];
 
-  ml_dsa_polyvec::decode<dilithium2::l, w1bw>(encoded, decoded);
+  ml_dsa_polyvec::decode<ml_dsa_44::l, w1bw>(encoded, decoded);
   ret_val ^= static_cast<uint8_t>(decoded[0].raw() ^ decoded[decoded.size() - 1].raw());
 
-  const auto z_norm = ml_dsa_polyvec::infinity_norm<dilithium2::l>(vec);
+  const auto z_norm = ml_dsa_polyvec::infinity_norm<ml_dsa_44::l>(vec);
   ret_val ^= static_cast<uint8_t>(z_norm.raw());
 
-  ml_dsa_polyvec::make_hint<dilithium2::l, α>(vec, vec_high, vec_hint);
+  ml_dsa_polyvec::make_hint<ml_dsa_44::l, α>(vec, vec_high, vec_hint);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_hint[vec_hint.size() - 1].raw());
 
-  const auto count_1 = ml_dsa_polyvec::count_1s<dilithium2::l>(vec_hint);
+  const auto count_1 = ml_dsa_polyvec::count_1s<ml_dsa_44::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
-  ml_dsa_bit_packing::encode_hint_bits<dilithium2::l, dilithium2::ω>(vec_hint, encoded_hints);
+  ml_dsa_bit_packing::encode_hint_bits<ml_dsa_44::l, ml_dsa_44::ω>(vec_hint, encoded_hints);
   ret_val ^= encoded_hints[0] ^ encoded_hints[encoded_hints.size() - 1];
 
-  ml_dsa_bit_packing::decode_hint_bits<dilithium2::l, dilithium2::ω>(encoded_hints, decoded_hints);
+  ml_dsa_bit_packing::decode_hint_bits<ml_dsa_44::l, ml_dsa_44::ω>(encoded_hints, decoded_hints);
   ret_val ^= static_cast<uint8_t>(decoded_hints[0].raw() ^ decoded_hints[decoded_hints.size() - 1].raw());
 
   return ret_val;
diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
index d5bec0d..00a20eb 100644
--- a/tests/test_signing.cpp
+++ b/tests/test_signing.cpp
@@ -1,6 +1,6 @@
-#include "ml_dsa/dilithium2.hpp"
 #include "ml_dsa/dilithium3.hpp"
 #include "ml_dsa/dilithium5.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
 #include <gtest/gtest.h>
 
 // Given a byte array, this routine randomly selects a bit and flips it. This
@@ -42,9 +42,9 @@ inline void
 test_dilithium2_signing(const size_t mlen)
 {
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium2::PubKeyLen;
-  constexpr size_t sklen = dilithium2::SecKeyLen;
-  constexpr size_t siglen = dilithium2::SigLen;
+  constexpr size_t pklen = ml_dsa_44::PubKeyByteLen;
+  constexpr size_t sklen = ml_dsa_44::SecKeyByteLen;
+  constexpr size_t siglen = ml_dsa_44::SigByteLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> rnd(slen, 0);
@@ -74,8 +74,8 @@ test_dilithium2_signing(const size_t mlen)
 
   bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
 
-  dilithium2::keygen(_seed, _pkey0, _skey);
-  dilithium2::sign(_rnd, _skey, _msg0, _sig0);
+  ml_dsa_44::keygen(_seed, _pkey0, _skey);
+  ml_dsa_44::sign(_rnd, _skey, _msg0, _sig0);
 
   std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
   std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
@@ -85,10 +85,10 @@ test_dilithium2_signing(const size_t mlen)
   random_bit_flip(_pkey1);
   random_bit_flip(_msg1);
 
-  flg0 = dilithium2::verify(_pkey0, _msg0, _sig0);
-  flg1 = dilithium2::verify(_pkey0, _msg0, _sig1);
-  flg2 = dilithium2::verify(_pkey1, _msg0, _sig0);
-  flg3 = dilithium2::verify(_pkey0, _msg1, _sig0);
+  flg0 = ml_dsa_44::verify(_pkey0, _msg0, _sig0);
+  flg1 = ml_dsa_44::verify(_pkey0, _msg0, _sig1);
+  flg2 = ml_dsa_44::verify(_pkey1, _msg0, _sig0);
+  flg3 = ml_dsa_44::verify(_pkey0, _msg1, _sig0);
 
   EXPECT_TRUE(flg0 & !flg1 & !flg2 & !flg3);
 }
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index e24d246..2f3a3e4 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -1,6 +1,6 @@
-#include "ml_dsa/dilithium2.hpp"
 #include "ml_dsa/dilithium3.hpp"
 #include "ml_dsa/dilithium5.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
 #include <charconv>
 #include <cstdint>
 #include <fstream>
@@ -96,18 +96,18 @@ TEST(Dilithium, Dilithium2KnownAnswerTests)
       auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
       auto sig = from_hex(sig2); // Expected signature
 
-      std::vector<uint8_t> _pkey(dilithium2::PubKeyLen, 0);
-      std::vector<uint8_t> _skey(dilithium2::SecKeyLen, 0);
-      std::vector<uint8_t> _sig(dilithium2::SigLen, 0);
+      std::vector<uint8_t> _pkey(ml_dsa_44::PubKeyByteLen, 0);
+      std::vector<uint8_t> _skey(ml_dsa_44::SecKeyByteLen, 0);
+      std::vector<uint8_t> _sig(ml_dsa_44::SigByteLen, 0);
 
-      auto __pkey = std::span<uint8_t, dilithium2::PubKeyLen>(_pkey); // Computed public key
-      auto __skey = std::span<uint8_t, dilithium2::SecKeyLen>(_skey); // Computed secret key
-      auto __sig = std::span<uint8_t, dilithium2::SigLen>(_sig);      // Computed signature
+      auto __pkey = std::span<uint8_t, ml_dsa_44::PubKeyByteLen>(_pkey); // Computed public key
+      auto __skey = std::span<uint8_t, ml_dsa_44::SecKeyByteLen>(_skey); // Computed secret key
+      auto __sig = std::span<uint8_t, ml_dsa_44::SigByteLen>(_sig);      // Computed signature
 
       // Keygen -> Sign -> Verify
-      dilithium2::keygen(_seed, __pkey, __skey);
-      dilithium2::sign(_rnd, __skey, _msg, __sig);
-      const auto f = dilithium2::verify(__pkey, _msg, __sig);
+      ml_dsa_44::keygen(_seed, __pkey, __skey);
+      ml_dsa_44::sign(_rnd, __skey, _msg, __sig);
+      const auto f = ml_dsa_44::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
       // ones, from KAT file.

From e3a3e3698316be546b01145d816eb7fe3662471b Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 21 Jul 2024 22:51:13 +0400
Subject: [PATCH 23/37] Refactor ML-DSA-65 instantiation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 README.md                        |  2 +-
 benchmarks/dilithium3.cpp        | 32 +++++++--------
 include/ml_dsa/dilithium3.hpp    | 65 -------------------------------
 include/ml_dsa/ml_dsa_65.hpp     | 67 ++++++++++++++++++++++++++++++++
 tests/dudect/test_dilithium3.cpp | 32 +++++++--------
 tests/test_signing.cpp           | 20 +++++-----
 tests/test_signing_kat.cpp       | 20 +++++-----
 7 files changed, 120 insertions(+), 118 deletions(-)
 delete mode 100644 include/ml_dsa/dilithium3.hpp
 create mode 100644 include/ml_dsa/ml_dsa_65.hpp

diff --git a/README.md b/README.md
index 83648b2..68cd96d 100644
--- a/README.md
+++ b/README.md
@@ -420,7 +420,7 @@ Let's walk through an example, where I show you how to use Dilithium key generat
 ```cpp
 // main.cpp
 
-// In case interested in using Dilithium3 or Dilithium5 API, import "dilithium3.hpp" or "dilithium5.hpp" and use keygen/ sign/ verify functions living either under `dilithium3::` or `dilithium5::` namespace.
+// In case interested in using Dilithium3 or Dilithium5 API, import "ml_dsa_65.hpp" or "dilithium5.hpp" and use keygen/ sign/ verify functions living either under `ml_dsa_65::` or `dilithium5::` namespace.
 #include "ml_dsa/ml_dsa_44.hpp"
 #include <array>
 #include "ml_dsa/internals/rng/prng.hpp"
diff --git a/benchmarks/dilithium3.cpp b/benchmarks/dilithium3.cpp
index 9b3ada3..c39fc41 100644
--- a/benchmarks/dilithium3.cpp
+++ b/benchmarks/dilithium3.cpp
@@ -1,5 +1,5 @@
-#include "ml_dsa/dilithium3.hpp"
 #include "bench_helper.hpp"
+#include "ml_dsa/ml_dsa_65.hpp"
 #include <benchmark/benchmark.h>
 
 // Benchmark Dilithium3 key generation algorithm's performance
@@ -7,8 +7,8 @@ inline void
 dilithium3_keygen(benchmark::State& state)
 {
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium3::PubKeyLen;
-  constexpr size_t sklen = dilithium3::SecKeyLen;
+  constexpr size_t pklen = ml_dsa_65::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_65::SecKeyLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pubkey(pklen, 0);
@@ -22,7 +22,7 @@ dilithium3_keygen(benchmark::State& state)
   prng.read(_seed);
 
   for (auto _ : state) {
-    dilithium3::keygen(_seed, _pubkey, _seckey);
+    ml_dsa_65::keygen(_seed, _pubkey, _seckey);
 
     benchmark::DoNotOptimize(_seed);
     benchmark::DoNotOptimize(_pubkey);
@@ -39,9 +39,9 @@ dilithium3_sign(benchmark::State& state)
 {
   const size_t mlen = state.range(0);
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium3::PubKeyLen;
-  constexpr size_t sklen = dilithium3::SecKeyLen;
-  constexpr size_t siglen = dilithium3::SigLen;
+  constexpr size_t pklen = ml_dsa_65::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_65::SecKeyLen;
+  constexpr size_t siglen = ml_dsa_65::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pkey(pklen, 0);
@@ -59,10 +59,10 @@ dilithium3_sign(benchmark::State& state)
   prng.read(_seed);
   prng.read(_msg);
 
-  dilithium3::keygen(_seed, _pkey, _skey);
+  ml_dsa_65::keygen(_seed, _pkey, _skey);
 
   for (auto _ : state) {
-    dilithium3::sign(_skey, _msg, _sig, {});
+    ml_dsa_65::sign(_skey, _msg, _sig, {});
 
     benchmark::DoNotOptimize(_skey);
     benchmark::DoNotOptimize(_msg);
@@ -71,7 +71,7 @@ dilithium3_sign(benchmark::State& state)
   }
 
   state.SetItemsProcessed(state.iterations());
-  assert(dilithium3::verify(_pkey, _msg, _sig));
+  assert(ml_dsa_65::verify(_pkey, _msg, _sig));
 }
 
 // Benchmark Dilithium3 signature verification routine's performance
@@ -80,9 +80,9 @@ dilithium3_verify(benchmark::State& state)
 {
   const size_t mlen = state.range(0);
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium3::PubKeyLen;
-  constexpr size_t sklen = dilithium3::SecKeyLen;
-  constexpr size_t siglen = dilithium3::SigLen;
+  constexpr size_t pklen = ml_dsa_65::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_65::SecKeyLen;
+  constexpr size_t siglen = ml_dsa_65::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pkey(pklen, 0);
@@ -100,11 +100,11 @@ dilithium3_verify(benchmark::State& state)
   prng.read(_seed);
   prng.read(_msg);
 
-  dilithium3::keygen(_seed, _pkey, _skey);
-  dilithium3::sign(_skey, _msg, _sig, {});
+  ml_dsa_65::keygen(_seed, _pkey, _skey);
+  ml_dsa_65::sign(_skey, _msg, _sig, {});
 
   for (auto _ : state) {
-    bool flg = dilithium3::verify(_pkey, _msg, _sig);
+    bool flg = ml_dsa_65::verify(_pkey, _msg, _sig);
 
     benchmark::DoNotOptimize(flg);
     benchmark::DoNotOptimize(_pkey);
diff --git a/include/ml_dsa/dilithium3.hpp b/include/ml_dsa/dilithium3.hpp
deleted file mode 100644
index f1c5d30..0000000
--- a/include/ml_dsa/dilithium3.hpp
+++ /dev/null
@@ -1,65 +0,0 @@
-#pragma once
-#include "ml_dsa/internals/ml_dsa.hpp"
-
-// Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
-// security level 3 parameters, as suggested in table 2 of
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-namespace dilithium3 {
-
-// See NIST security level 3 parameter set, in table 2 of the specification.
-constexpr size_t d = 13;
-constexpr uint32_t τ = 49;
-constexpr uint32_t γ1 = 1u << 19;
-constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 32;
-constexpr size_t k = 6;
-constexpr size_t l = 5;
-constexpr uint32_t η = 4;
-constexpr uint32_t β = τ * η;
-constexpr size_t ω = 55;
-constexpr size_t λ = 192;
-
-// = 1952 -bytes Dilithium3 public key
-constexpr size_t PubKeyLen = ml_dsa_utils::pub_key_len(k, d);
-
-// = 4032 -bytes Dilithium3 secret key
-constexpr size_t SecKeyLen = ml_dsa_utils::sec_key_len(k, l, η, d);
-
-// = 3309 -bytes Dilithium3 signature
-constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
-
-// Given a 32 -bytes seed, this routine can be used for generating a fresh
-// Dilithium3 keypair.
-inline void
-keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey, std::span<uint8_t, SecKeyLen> seckey)
-{
-  ml_dsa::keygen<k, l, d, η>(seed, pubkey, seckey);
-}
-
-// Given a Dilithium3 secret key and a non-empty message M, this routine can be
-// used for signing the message, computing the signature either
-// deterministically ( by default ) or non-deterministically - a compile-time
-// decision using template parameter. In case you opt for using randomized
-// signing, ensure that you pass 64 -bytes uniform random sampled seed, using
-// last parameter of the function. If you choose (default) deterministic
-// signing, you can safely pass `nullptr` for last parameter of this function -
-// as that seed will never be accessed during signing.
-inline void
-sign(std::span<const uint8_t, 32> rnd,
-     std::span<const uint8_t, SecKeyLen> seckey,
-     std::span<const uint8_t> msg,
-     std::span<uint8_t, SigLen> sig)
-{
-  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
-}
-
-// Given a Dilithium3 public key, a message M and a signature S, this routine
-// can be used for verifying if the signature is valid for the provided message
-// or not, returning truth value only in case of successful signature
-// verification, otherwise false is returned.
-inline bool
-verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
-{
-  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
-}
-
-}
diff --git a/include/ml_dsa/ml_dsa_65.hpp b/include/ml_dsa/ml_dsa_65.hpp
new file mode 100644
index 0000000..69f5c23
--- /dev/null
+++ b/include/ml_dsa/ml_dsa_65.hpp
@@ -0,0 +1,67 @@
+#pragma once
+#include "ml_dsa/internals/ml_dsa.hpp"
+
+namespace ml_dsa_65 {
+
+// See table 1 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd
+static constexpr size_t d = 13;
+static constexpr uint32_t τ = 49;
+static constexpr uint32_t γ1 = 1u << 19;
+static constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 32;
+static constexpr size_t k = 6;
+static constexpr size_t l = 5;
+static constexpr uint32_t η = 4;
+static constexpr uint32_t β = τ * η;
+static constexpr size_t ω = 55;
+static constexpr size_t λ = 192;
+
+// Byte length ( = 32 ) of ML-DSA-65 key generation seed.
+static constexpr size_t KeygenSeedByteLen = ml_dsa::KEYGEN_SEED_BYTE_LEN;
+
+// Byte length ( = 1952 ) of ML-DSA-65 public key.
+static constexpr size_t PubKeyByteLen = ml_dsa_utils::pub_key_len(k, d);
+
+// Byte length ( = 4032 ) of ML-DSA-65 secret key.
+static constexpr size_t SecKeyByteLen = ml_dsa_utils::sec_key_len(k, l, η, d);
+
+// Byte length ( = 32 ) of ML-DSA-65 signing seed.
+static constexpr size_t SigningSeedByteLen = ml_dsa::RND_BYTE_LEN;
+
+// Byte length ( = 3309 ) of ML-DSA-65 signature.
+static constexpr size_t SigByteLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
+
+// Given a 32 -bytes seed, this routine can be used for generating a fresh ML-DSA-65 keypair.
+inline void
+keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
+       std::span<uint8_t, PubKeyByteLen> pubkey,
+       std::span<uint8_t, SecKeyByteLen> seckey)
+{
+  ml_dsa::keygen<k, l, d, η>(ξ, pubkey, seckey);
+}
+
+// Given a 32 -bytes seed `rnd` and ML-DSA-65 secret key, this routine can be used for signing any arbitrary (>=0)
+// length message M, producing a ML-DSA-65 signature S.
+//
+// Default (and recommended) signing mode is "hedged" i.e. using 32B input randomness for signing, results into
+// randomized signature. For "deterministic" signing mode, simply fill `rnd` with zero bytes.
+inline void
+sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
+     std::span<const uint8_t, SecKeyByteLen> seckey,
+     std::span<const uint8_t> msg,
+     std::span<uint8_t, SigByteLen> sig)
+{
+  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
+}
+
+// Given a ML-DSA-65 public key, a message M and a signature S, this routine can be used for verifying if the signature
+// is valid for the provided message or not, returning truth value only in case of successful signature verification,
+// otherwise false is returned.
+inline bool
+verify(std::span<const uint8_t, PubKeyByteLen> pubkey,
+       std::span<const uint8_t> msg,
+       std::span<const uint8_t, SigByteLen> sig)
+{
+  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
+}
+
+}
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_dilithium3.cpp
index 84d4fac..665f225 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_dilithium3.cpp
@@ -1,4 +1,4 @@
-#include "ml_dsa/dilithium3.hpp"
+#include "ml_dsa/ml_dsa_65.hpp"
 #include <cstdio>
 
 #define DUDECT_IMPLEMENTATION
@@ -10,20 +10,20 @@ constexpr size_t SEED_LEN = 32; // Byte length of seed(s)
 uint8_t
 do_one_computation(uint8_t* const data)
 {
-  constexpr uint32_t α = dilithium3::γ2 << 1;
+  constexpr uint32_t α = ml_dsa_65::γ2 << 1;
   constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<ml_dsa_field::zq_t, dilithium3::l * ml_dsa_ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, ml_dsa_65::l * ml_dsa_ntt::N> vec{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
   std::array<uint8_t, (vec_high.size() * w1bw) / 8> encoded{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> decoded{};
-  std::array<uint8_t, dilithium3::ω + dilithium3::l> encoded_hints{};
+  std::array<uint8_t, ml_dsa_65::ω + ml_dsa_65::l> encoded_hints{};
   std::array<ml_dsa_field::zq_t, vec.size()> decoded_hints{};
 
   auto seed = std::span<const uint8_t, 2 * SEED_LEN>(data + doff0, doff1 - doff0);
@@ -31,40 +31,40 @@ do_one_computation(uint8_t* const data)
 
   uint8_t ret_val = 0;
 
-  ml_dsa_sampling::expand_mask<dilithium3::γ1, dilithium3::l>(seed, kappa, vec);
+  ml_dsa_sampling::expand_mask<ml_dsa_65::γ1, ml_dsa_65::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::ntt<dilithium3::l>(vec);
+  ml_dsa_polyvec::ntt<ml_dsa_65::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::intt<dilithium3::l>(vec);
+  ml_dsa_polyvec::intt<ml_dsa_65::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::highbits<dilithium3::l, α>(vec, vec_high);
+  ml_dsa_polyvec::highbits<ml_dsa_65::l, α>(vec, vec_high);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_high[vec_high.size() - 1].raw());
 
-  ml_dsa_polyvec::lowbits<dilithium3::l, α>(vec, vec_low);
+  ml_dsa_polyvec::lowbits<ml_dsa_65::l, α>(vec, vec_low);
   ret_val ^= static_cast<uint8_t>(vec_low[0].raw() ^ vec_low[vec_low.size() - 1].raw());
 
-  ml_dsa_polyvec::encode<dilithium3::l, w1bw>(vec_high, encoded);
+  ml_dsa_polyvec::encode<ml_dsa_65::l, w1bw>(vec_high, encoded);
   ret_val ^= encoded[0] ^ encoded[encoded.size() - 1];
 
-  ml_dsa_polyvec::decode<dilithium3::l, w1bw>(encoded, decoded);
+  ml_dsa_polyvec::decode<ml_dsa_65::l, w1bw>(encoded, decoded);
   ret_val ^= static_cast<uint8_t>(decoded[0].raw() ^ decoded[decoded.size() - 1].raw());
 
-  const auto z_norm = ml_dsa_polyvec::infinity_norm<dilithium3::l>(vec);
+  const auto z_norm = ml_dsa_polyvec::infinity_norm<ml_dsa_65::l>(vec);
   ret_val ^= static_cast<uint8_t>(z_norm.raw());
 
-  ml_dsa_polyvec::make_hint<dilithium3::l, α>(vec, vec_high, vec_hint);
+  ml_dsa_polyvec::make_hint<ml_dsa_65::l, α>(vec, vec_high, vec_hint);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_hint[vec_hint.size() - 1].raw());
 
-  const auto count_1 = ml_dsa_polyvec::count_1s<dilithium3::l>(vec_hint);
+  const auto count_1 = ml_dsa_polyvec::count_1s<ml_dsa_65::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
-  ml_dsa_bit_packing::encode_hint_bits<dilithium3::l, dilithium3::ω>(vec_hint, encoded_hints);
+  ml_dsa_bit_packing::encode_hint_bits<ml_dsa_65::l, ml_dsa_65::ω>(vec_hint, encoded_hints);
   ret_val ^= encoded_hints[0] ^ encoded_hints[encoded_hints.size() - 1];
 
-  ml_dsa_bit_packing::decode_hint_bits<dilithium3::l, dilithium3::ω>(encoded_hints, decoded_hints);
+  ml_dsa_bit_packing::decode_hint_bits<ml_dsa_65::l, ml_dsa_65::ω>(encoded_hints, decoded_hints);
   ret_val ^= static_cast<uint8_t>(decoded_hints[0].raw() ^ decoded_hints[decoded_hints.size() - 1].raw());
 
   return ret_val;
diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
index 00a20eb..cd2fec2 100644
--- a/tests/test_signing.cpp
+++ b/tests/test_signing.cpp
@@ -1,6 +1,6 @@
-#include "ml_dsa/dilithium3.hpp"
 #include "ml_dsa/dilithium5.hpp"
 #include "ml_dsa/ml_dsa_44.hpp"
+#include "ml_dsa/ml_dsa_65.hpp"
 #include <gtest/gtest.h>
 
 // Given a byte array, this routine randomly selects a bit and flips it. This
@@ -113,9 +113,9 @@ inline void
 test_dilithium3_signing(const size_t mlen)
 {
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium3::PubKeyLen;
-  constexpr size_t sklen = dilithium3::SecKeyLen;
-  constexpr size_t siglen = dilithium3::SigLen;
+  constexpr size_t pklen = ml_dsa_65::PubKeyByteLen;
+  constexpr size_t sklen = ml_dsa_65::SecKeyByteLen;
+  constexpr size_t siglen = ml_dsa_65::SigByteLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> rnd(slen, 0);
@@ -145,8 +145,8 @@ test_dilithium3_signing(const size_t mlen)
 
   bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
 
-  dilithium3::keygen(_seed, _pkey0, _skey);
-  dilithium3::sign(_rnd, _skey, _msg0, _sig0);
+  ml_dsa_65::keygen(_seed, _pkey0, _skey);
+  ml_dsa_65::sign(_rnd, _skey, _msg0, _sig0);
 
   std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
   std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
@@ -156,10 +156,10 @@ test_dilithium3_signing(const size_t mlen)
   random_bit_flip(_pkey1);
   random_bit_flip(_msg1);
 
-  flg0 = dilithium3::verify(_pkey0, _msg0, _sig0);
-  flg1 = dilithium3::verify(_pkey0, _msg0, _sig1);
-  flg2 = dilithium3::verify(_pkey1, _msg0, _sig0);
-  flg3 = dilithium3::verify(_pkey0, _msg1, _sig0);
+  flg0 = ml_dsa_65::verify(_pkey0, _msg0, _sig0);
+  flg1 = ml_dsa_65::verify(_pkey0, _msg0, _sig1);
+  flg2 = ml_dsa_65::verify(_pkey1, _msg0, _sig0);
+  flg3 = ml_dsa_65::verify(_pkey0, _msg1, _sig0);
 
   EXPECT_TRUE(flg0 & !flg1 & !flg2 & !flg3);
 }
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index 2f3a3e4..cffa5af 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -1,6 +1,6 @@
-#include "ml_dsa/dilithium3.hpp"
 #include "ml_dsa/dilithium5.hpp"
 #include "ml_dsa/ml_dsa_44.hpp"
+#include "ml_dsa/ml_dsa_65.hpp"
 #include <charconv>
 #include <cstdint>
 #include <fstream>
@@ -188,18 +188,18 @@ TEST(Dilithium, Dilithium3KnownAnswerTests)
       auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
       auto sig = from_hex(sig2); // Expected signature
 
-      std::vector<uint8_t> _pkey(dilithium3::PubKeyLen, 0);
-      std::vector<uint8_t> _skey(dilithium3::SecKeyLen, 0);
-      std::vector<uint8_t> _sig(dilithium3::SigLen, 0);
+      std::vector<uint8_t> _pkey(ml_dsa_65::PubKeyByteLen, 0);
+      std::vector<uint8_t> _skey(ml_dsa_65::SecKeyByteLen, 0);
+      std::vector<uint8_t> _sig(ml_dsa_65::SigByteLen, 0);
 
-      auto __pkey = std::span<uint8_t, dilithium3::PubKeyLen>(_pkey); // Computed public key
-      auto __skey = std::span<uint8_t, dilithium3::SecKeyLen>(_skey); // Computed secret key
-      auto __sig = std::span<uint8_t, dilithium3::SigLen>(_sig);      // Computed signature
+      auto __pkey = std::span<uint8_t, ml_dsa_65::PubKeyByteLen>(_pkey); // Computed public key
+      auto __skey = std::span<uint8_t, ml_dsa_65::SecKeyByteLen>(_skey); // Computed secret key
+      auto __sig = std::span<uint8_t, ml_dsa_65::SigByteLen>(_sig);      // Computed signature
 
       // Keygen -> Sign -> Verify
-      dilithium3::keygen(_seed, __pkey, __skey);
-      dilithium3::sign(_rnd, __skey, _msg, __sig);
-      const auto f = dilithium3::verify(__pkey, _msg, __sig);
+      ml_dsa_65::keygen(_seed, __pkey, __skey);
+      ml_dsa_65::sign(_rnd, __skey, _msg, __sig);
+      const auto f = ml_dsa_65::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
       // ones, from KAT file.

From a8ff69e1059d1320a113961fa48e57b75bb65536 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Sun, 21 Jul 2024 22:57:58 +0400
Subject: [PATCH 24/37] Refactor ML-DSA-87 instantiation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 README.md                        |  2 +-
 benchmarks/dilithium5.cpp        | 32 +++++++--------
 include/ml_dsa/dilithium5.hpp    | 65 -------------------------------
 include/ml_dsa/ml_dsa_87.hpp     | 67 ++++++++++++++++++++++++++++++++
 tests/dudect/test_dilithium5.cpp | 32 +++++++--------
 tests/test_signing.cpp           | 20 +++++-----
 tests/test_signing_kat.cpp       | 20 +++++-----
 7 files changed, 120 insertions(+), 118 deletions(-)
 delete mode 100644 include/ml_dsa/dilithium5.hpp
 create mode 100644 include/ml_dsa/ml_dsa_87.hpp

diff --git a/README.md b/README.md
index 68cd96d..ce70973 100644
--- a/README.md
+++ b/README.md
@@ -420,7 +420,7 @@ Let's walk through an example, where I show you how to use Dilithium key generat
 ```cpp
 // main.cpp
 
-// In case interested in using Dilithium3 or Dilithium5 API, import "ml_dsa_65.hpp" or "dilithium5.hpp" and use keygen/ sign/ verify functions living either under `ml_dsa_65::` or `dilithium5::` namespace.
+// In case interested in using Dilithium3 or Dilithium5 API, import "ml_dsa_65.hpp" or "ml_dsa_87.hpp" and use keygen/ sign/ verify functions living either under `ml_dsa_65::` or `ml_dsa_87::` namespace.
 #include "ml_dsa/ml_dsa_44.hpp"
 #include <array>
 #include "ml_dsa/internals/rng/prng.hpp"
diff --git a/benchmarks/dilithium5.cpp b/benchmarks/dilithium5.cpp
index f2d3cef..89e86c6 100644
--- a/benchmarks/dilithium5.cpp
+++ b/benchmarks/dilithium5.cpp
@@ -1,5 +1,5 @@
-#include "ml_dsa/dilithium5.hpp"
 #include "bench_helper.hpp"
+#include "ml_dsa/ml_dsa_87.hpp"
 #include <benchmark/benchmark.h>
 
 // Benchmark Dilithium5 key generation algorithm's performance
@@ -7,8 +7,8 @@ inline void
 dilithium5_keygen(benchmark::State& state)
 {
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium5::PubKeyLen;
-  constexpr size_t sklen = dilithium5::SecKeyLen;
+  constexpr size_t pklen = ml_dsa_87::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_87::SecKeyLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pubkey(pklen, 0);
@@ -22,7 +22,7 @@ dilithium5_keygen(benchmark::State& state)
   prng.read(_seed);
 
   for (auto _ : state) {
-    dilithium5::keygen(_seed, _pubkey, _seckey);
+    ml_dsa_87::keygen(_seed, _pubkey, _seckey);
 
     benchmark::DoNotOptimize(_seed);
     benchmark::DoNotOptimize(_pubkey);
@@ -39,9 +39,9 @@ dilithium5_sign(benchmark::State& state)
 {
   const size_t mlen = state.range(0);
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium5::PubKeyLen;
-  constexpr size_t sklen = dilithium5::SecKeyLen;
-  constexpr size_t siglen = dilithium5::SigLen;
+  constexpr size_t pklen = ml_dsa_87::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_87::SecKeyLen;
+  constexpr size_t siglen = ml_dsa_87::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pkey(pklen, 0);
@@ -59,10 +59,10 @@ dilithium5_sign(benchmark::State& state)
   prng.read(_seed);
   prng.read(_msg);
 
-  dilithium5::keygen(_seed, _pkey, _skey);
+  ml_dsa_87::keygen(_seed, _pkey, _skey);
 
   for (auto _ : state) {
-    dilithium5::sign(_skey, _msg, _sig, {});
+    ml_dsa_87::sign(_skey, _msg, _sig, {});
 
     benchmark::DoNotOptimize(_skey);
     benchmark::DoNotOptimize(_msg);
@@ -71,7 +71,7 @@ dilithium5_sign(benchmark::State& state)
   }
 
   state.SetItemsProcessed(state.iterations());
-  assert(dilithium5::verify(_pkey, _msg, _sig));
+  assert(ml_dsa_87::verify(_pkey, _msg, _sig));
 }
 
 // Benchmark Dilithium5 signature verification routine's performance
@@ -80,9 +80,9 @@ dilithium5_verify(benchmark::State& state)
 {
   const size_t mlen = state.range(0);
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium5::PubKeyLen;
-  constexpr size_t sklen = dilithium5::SecKeyLen;
-  constexpr size_t siglen = dilithium5::SigLen;
+  constexpr size_t pklen = ml_dsa_87::PubKeyLen;
+  constexpr size_t sklen = ml_dsa_87::SecKeyLen;
+  constexpr size_t siglen = ml_dsa_87::SigLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> pkey(pklen, 0);
@@ -100,11 +100,11 @@ dilithium5_verify(benchmark::State& state)
   prng.read(_seed);
   prng.read(_msg);
 
-  dilithium5::keygen(_seed, _pkey, _skey);
-  dilithium5::sign(_skey, _msg, _sig, {});
+  ml_dsa_87::keygen(_seed, _pkey, _skey);
+  ml_dsa_87::sign(_skey, _msg, _sig, {});
 
   for (auto _ : state) {
-    bool flg = dilithium5::verify(_pkey, _msg, _sig);
+    bool flg = ml_dsa_87::verify(_pkey, _msg, _sig);
 
     benchmark::DoNotOptimize(flg);
     benchmark::DoNotOptimize(_pkey);
diff --git a/include/ml_dsa/dilithium5.hpp b/include/ml_dsa/dilithium5.hpp
deleted file mode 100644
index 8e5c2f8..0000000
--- a/include/ml_dsa/dilithium5.hpp
+++ /dev/null
@@ -1,65 +0,0 @@
-#pragma once
-#include "ml_dsa/internals/ml_dsa.hpp"
-
-// Dilithium Post-Quantum Digital Signature Algorithm instantiated with NIST
-// security level 5 parameters, as suggested in table 2 of
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
-namespace dilithium5 {
-
-// See NIST security level 5 parameter set, in table 2 of the specification.
-constexpr size_t d = 13;
-constexpr uint32_t τ = 60;
-constexpr uint32_t γ1 = 1u << 19;
-constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 32;
-constexpr size_t k = 8;
-constexpr size_t l = 7;
-constexpr uint32_t η = 2;
-constexpr uint32_t β = τ * η;
-constexpr size_t ω = 75;
-constexpr size_t λ = 256;
-
-// = 2592 -bytes Dilithium5 public key
-constexpr size_t PubKeyLen = ml_dsa_utils::pub_key_len(k, d);
-
-// = 4896 -bytes Dilithium5 secret key
-constexpr size_t SecKeyLen = ml_dsa_utils::sec_key_len(k, l, η, d);
-
-// = 4627 -bytes Dilithium5 signature
-constexpr size_t SigLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
-
-// Given a 32 -bytes seed, this routine can be used for generating a fresh
-// Dilithium5 keypair.
-inline void
-keygen(std::span<const uint8_t, 32> seed, std::span<uint8_t, PubKeyLen> pubkey, std::span<uint8_t, SecKeyLen> seckey)
-{
-  ml_dsa::keygen<k, l, d, η>(seed, pubkey, seckey);
-}
-
-// Given a Dilithium5 secret key and a non-empty message M, this routine can be
-// used for signing the message, computing the signature either
-// deterministically ( by default ) or non-deterministically - a compile-time
-// decision using template parameter. In case you opt for using randomized
-// signing, ensure that you pass 64 -bytes uniform random sampled seed, using
-// last parameter of the function. If you choose (default) deterministic
-// signing, you can safely pass `nullptr` for last parameter of this function -
-// as that seed will never be accessed during signing.
-inline void
-sign(std::span<const uint8_t, 32> rnd,
-     std::span<const uint8_t, SecKeyLen> seckey,
-     std::span<const uint8_t> msg,
-     std::span<uint8_t, SigLen> sig)
-{
-  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
-}
-
-// Given a Dilithium5 public key, a message M and a signature S, this routine
-// can be used for verifying if the signature is valid for the provided message
-// or not, returning truth value only in case of successful signature
-// verification, otherwise false is returned.
-inline bool
-verify(std::span<const uint8_t, PubKeyLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigLen> sig)
-{
-  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
-}
-
-}
diff --git a/include/ml_dsa/ml_dsa_87.hpp b/include/ml_dsa/ml_dsa_87.hpp
new file mode 100644
index 0000000..33a9606
--- /dev/null
+++ b/include/ml_dsa/ml_dsa_87.hpp
@@ -0,0 +1,67 @@
+#pragma once
+#include "ml_dsa/internals/ml_dsa.hpp"
+
+namespace ml_dsa_87 {
+
+// See table 1 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd
+static constexpr size_t d = 13;
+static constexpr uint32_t τ = 60;
+static constexpr uint32_t γ1 = 1u << 19;
+static constexpr uint32_t γ2 = (ml_dsa_field::Q - 1) / 32;
+static constexpr size_t k = 8;
+static constexpr size_t l = 7;
+static constexpr uint32_t η = 2;
+static constexpr uint32_t β = τ * η;
+static constexpr size_t ω = 75;
+static constexpr size_t λ = 256;
+
+// Byte length ( = 32 ) of ML-DSA-87 key generation seed.
+static constexpr size_t KeygenSeedByteLen = ml_dsa::KEYGEN_SEED_BYTE_LEN;
+
+// Byte length ( = 2592 ) of ML-DSA-87 public key.
+static constexpr size_t PubKeyByteLen = ml_dsa_utils::pub_key_len(k, d);
+
+// Byte length ( = 4896 ) of ML-DSA-87 secret key.
+static constexpr size_t SecKeyByteLen = ml_dsa_utils::sec_key_len(k, l, η, d);
+
+// Byte length ( = 32 ) of ML-DSA-87 signing seed.
+static constexpr size_t SigningSeedByteLen = ml_dsa::RND_BYTE_LEN;
+
+// Byte length ( = 4627 ) of ML-DSA-87 signature.
+static constexpr size_t SigByteLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
+
+// Given a 32 -bytes seed, this routine can be used for generating a fresh ML-DSA-87 keypair.
+inline void
+keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
+       std::span<uint8_t, PubKeyByteLen> pubkey,
+       std::span<uint8_t, SecKeyByteLen> seckey)
+{
+  ml_dsa::keygen<k, l, d, η>(ξ, pubkey, seckey);
+}
+
+// Given a 32 -bytes seed `rnd` and ML-DSA-87 secret key, this routine can be used for signing any arbitrary (>=0)
+// length message M, producing a ML-DSA-87 signature S.
+//
+// Default (and recommended) signing mode is "hedged" i.e. using 32B input randomness for signing, results into
+// randomized signature. For "deterministic" signing mode, simply fill `rnd` with zero bytes.
+inline void
+sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
+     std::span<const uint8_t, SecKeyByteLen> seckey,
+     std::span<const uint8_t> msg,
+     std::span<uint8_t, SigByteLen> sig)
+{
+  ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
+}
+
+// Given a ML-DSA-87 public key, a message M and a signature S, this routine can be used for verifying if the signature
+// is valid for the provided message or not, returning truth value only in case of successful signature verification,
+// otherwise false is returned.
+inline bool
+verify(std::span<const uint8_t, PubKeyByteLen> pubkey,
+       std::span<const uint8_t> msg,
+       std::span<const uint8_t, SigByteLen> sig)
+{
+  return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
+}
+
+}
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_dilithium5.cpp
index 669bb9a..0c4fbe2 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_dilithium5.cpp
@@ -1,4 +1,4 @@
-#include "ml_dsa/dilithium5.hpp"
+#include "ml_dsa/ml_dsa_87.hpp"
 #include <cstdio>
 
 #define DUDECT_IMPLEMENTATION
@@ -10,20 +10,20 @@ constexpr size_t SEED_LEN = 32; // Byte length of seed(s)
 uint8_t
 do_one_computation(uint8_t* const data)
 {
-  constexpr uint32_t α = dilithium5::γ2 << 1;
+  constexpr uint32_t α = ml_dsa_87::γ2 << 1;
   constexpr uint32_t m = (ml_dsa_field::Q - 1u) / α;
   constexpr size_t w1bw = std::bit_width(m - 1u);
 
   constexpr size_t doff0 = 0;
   constexpr size_t doff1 = doff0 + 2 * SEED_LEN;
 
-  std::array<ml_dsa_field::zq_t, dilithium5::l * ml_dsa_ntt::N> vec{};
+  std::array<ml_dsa_field::zq_t, ml_dsa_87::l * ml_dsa_ntt::N> vec{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_high{};
   std::array<ml_dsa_field::zq_t, vec.size()> vec_low{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> vec_hint{};
   std::array<uint8_t, (vec_high.size() * w1bw) / 8> encoded{};
   std::array<ml_dsa_field::zq_t, vec_high.size()> decoded{};
-  std::array<uint8_t, dilithium5::ω + dilithium5::l> encoded_hints{};
+  std::array<uint8_t, ml_dsa_87::ω + ml_dsa_87::l> encoded_hints{};
   std::array<ml_dsa_field::zq_t, vec.size()> decoded_hints{};
 
   auto seed = std::span<const uint8_t, 2 * SEED_LEN>(data + doff0, doff1 - doff0);
@@ -31,40 +31,40 @@ do_one_computation(uint8_t* const data)
 
   uint8_t ret_val = 0;
 
-  ml_dsa_sampling::expand_mask<dilithium5::γ1, dilithium5::l>(seed, kappa, vec);
+  ml_dsa_sampling::expand_mask<ml_dsa_87::γ1, ml_dsa_87::l>(seed, kappa, vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::ntt<dilithium5::l>(vec);
+  ml_dsa_polyvec::ntt<ml_dsa_87::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::intt<dilithium5::l>(vec);
+  ml_dsa_polyvec::intt<ml_dsa_87::l>(vec);
   ret_val ^= static_cast<uint8_t>(vec[0].raw() ^ vec[vec.size() - 1].raw());
 
-  ml_dsa_polyvec::highbits<dilithium5::l, α>(vec, vec_high);
+  ml_dsa_polyvec::highbits<ml_dsa_87::l, α>(vec, vec_high);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_high[vec_high.size() - 1].raw());
 
-  ml_dsa_polyvec::lowbits<dilithium5::l, α>(vec, vec_low);
+  ml_dsa_polyvec::lowbits<ml_dsa_87::l, α>(vec, vec_low);
   ret_val ^= static_cast<uint8_t>(vec_low[0].raw() ^ vec_low[vec_low.size() - 1].raw());
 
-  ml_dsa_polyvec::encode<dilithium5::l, w1bw>(vec_high, encoded);
+  ml_dsa_polyvec::encode<ml_dsa_87::l, w1bw>(vec_high, encoded);
   ret_val ^= encoded[0] ^ encoded[encoded.size() - 1];
 
-  ml_dsa_polyvec::decode<dilithium5::l, w1bw>(encoded, decoded);
+  ml_dsa_polyvec::decode<ml_dsa_87::l, w1bw>(encoded, decoded);
   ret_val ^= static_cast<uint8_t>(decoded[0].raw() ^ decoded[decoded.size() - 1].raw());
 
-  const auto z_norm = ml_dsa_polyvec::infinity_norm<dilithium5::l>(vec);
+  const auto z_norm = ml_dsa_polyvec::infinity_norm<ml_dsa_87::l>(vec);
   ret_val ^= static_cast<uint8_t>(z_norm.raw());
 
-  ml_dsa_polyvec::make_hint<dilithium5::l, α>(vec, vec_high, vec_hint);
+  ml_dsa_polyvec::make_hint<ml_dsa_87::l, α>(vec, vec_high, vec_hint);
   ret_val ^= static_cast<uint8_t>(vec_high[0].raw() ^ vec_hint[vec_hint.size() - 1].raw());
 
-  const auto count_1 = ml_dsa_polyvec::count_1s<dilithium5::l>(vec_hint);
+  const auto count_1 = ml_dsa_polyvec::count_1s<ml_dsa_87::l>(vec_hint);
   ret_val ^= static_cast<uint8_t>(count_1);
 
-  ml_dsa_bit_packing::encode_hint_bits<dilithium5::l, dilithium5::ω>(vec_hint, encoded_hints);
+  ml_dsa_bit_packing::encode_hint_bits<ml_dsa_87::l, ml_dsa_87::ω>(vec_hint, encoded_hints);
   ret_val ^= encoded_hints[0] ^ encoded_hints[encoded_hints.size() - 1];
 
-  ml_dsa_bit_packing::decode_hint_bits<dilithium5::l, dilithium5::ω>(encoded_hints, decoded_hints);
+  ml_dsa_bit_packing::decode_hint_bits<ml_dsa_87::l, ml_dsa_87::ω>(encoded_hints, decoded_hints);
   ret_val ^= static_cast<uint8_t>(decoded_hints[0].raw() ^ decoded_hints[decoded_hints.size() - 1].raw());
 
   return ret_val;
diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
index cd2fec2..ae695e8 100644
--- a/tests/test_signing.cpp
+++ b/tests/test_signing.cpp
@@ -1,6 +1,6 @@
-#include "ml_dsa/dilithium5.hpp"
 #include "ml_dsa/ml_dsa_44.hpp"
 #include "ml_dsa/ml_dsa_65.hpp"
+#include "ml_dsa/ml_dsa_87.hpp"
 #include <gtest/gtest.h>
 
 // Given a byte array, this routine randomly selects a bit and flips it. This
@@ -184,9 +184,9 @@ inline void
 test_dilithium5_signing(const size_t mlen)
 {
   constexpr size_t slen = 32;
-  constexpr size_t pklen = dilithium5::PubKeyLen;
-  constexpr size_t sklen = dilithium5::SecKeyLen;
-  constexpr size_t siglen = dilithium5::SigLen;
+  constexpr size_t pklen = ml_dsa_87::PubKeyByteLen;
+  constexpr size_t sklen = ml_dsa_87::SecKeyByteLen;
+  constexpr size_t siglen = ml_dsa_87::SigByteLen;
 
   std::vector<uint8_t> seed(slen, 0);
   std::vector<uint8_t> rnd(slen, 0);
@@ -216,8 +216,8 @@ test_dilithium5_signing(const size_t mlen)
 
   bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
 
-  dilithium5::keygen(_seed, _pkey0, _skey);
-  dilithium5::sign(_rnd, _skey, _msg0, _sig0);
+  ml_dsa_87::keygen(_seed, _pkey0, _skey);
+  ml_dsa_87::sign(_rnd, _skey, _msg0, _sig0);
 
   std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
   std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
@@ -227,10 +227,10 @@ test_dilithium5_signing(const size_t mlen)
   random_bit_flip(_pkey1);
   random_bit_flip(_msg1);
 
-  flg0 = dilithium5::verify(_pkey0, _msg0, _sig0);
-  flg1 = dilithium5::verify(_pkey0, _msg0, _sig1);
-  flg2 = dilithium5::verify(_pkey1, _msg0, _sig0);
-  flg3 = dilithium5::verify(_pkey0, _msg1, _sig0);
+  flg0 = ml_dsa_87::verify(_pkey0, _msg0, _sig0);
+  flg1 = ml_dsa_87::verify(_pkey0, _msg0, _sig1);
+  flg2 = ml_dsa_87::verify(_pkey1, _msg0, _sig0);
+  flg3 = ml_dsa_87::verify(_pkey0, _msg1, _sig0);
 
   EXPECT_TRUE(flg0 & !flg1 & !flg2 & !flg3);
 }
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
index cffa5af..5a3a588 100644
--- a/tests/test_signing_kat.cpp
+++ b/tests/test_signing_kat.cpp
@@ -1,6 +1,6 @@
-#include "ml_dsa/dilithium5.hpp"
 #include "ml_dsa/ml_dsa_44.hpp"
 #include "ml_dsa/ml_dsa_65.hpp"
+#include "ml_dsa/ml_dsa_87.hpp"
 #include <charconv>
 #include <cstdint>
 #include <fstream>
@@ -280,18 +280,18 @@ TEST(Dilithium, Dilithium5KnownAnswerTests)
       auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
       auto sig = from_hex(sig2); // Expected signature
 
-      std::vector<uint8_t> _pkey(dilithium5::PubKeyLen, 0);
-      std::vector<uint8_t> _skey(dilithium5::SecKeyLen, 0);
-      std::vector<uint8_t> _sig(dilithium5::SigLen, 0);
+      std::vector<uint8_t> _pkey(ml_dsa_87::PubKeyByteLen, 0);
+      std::vector<uint8_t> _skey(ml_dsa_87::SecKeyByteLen, 0);
+      std::vector<uint8_t> _sig(ml_dsa_87::SigByteLen, 0);
 
-      auto __pkey = std::span<uint8_t, dilithium5::PubKeyLen>(_pkey); // Computed public key
-      auto __skey = std::span<uint8_t, dilithium5::SecKeyLen>(_skey); // Computed secret key
-      auto __sig = std::span<uint8_t, dilithium5::SigLen>(_sig);      // Computed signature
+      auto __pkey = std::span<uint8_t, ml_dsa_87::PubKeyByteLen>(_pkey); // Computed public key
+      auto __skey = std::span<uint8_t, ml_dsa_87::SecKeyByteLen>(_skey); // Computed secret key
+      auto __sig = std::span<uint8_t, ml_dsa_87::SigByteLen>(_sig);      // Computed signature
 
       // Keygen -> Sign -> Verify
-      dilithium5::keygen(_seed, __pkey, __skey);
-      dilithium5::sign(_rnd, __skey, _msg, __sig);
-      const auto f = dilithium5::verify(__pkey, _msg, __sig);
+      ml_dsa_87::keygen(_seed, __pkey, __skey);
+      ml_dsa_87::sign(_rnd, __skey, _msg, __sig);
+      const auto f = ml_dsa_87::verify(__pkey, _msg, __sig);
 
       // Check if computed public key, secret key and signature matches expected
       // ones, from KAT file.

From 3f26b109afeda7e74c7b55653ccd08427603861d Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 20:28:56 +0400
Subject: [PATCH 25/37] Add new header-unit for holding test helper functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_helper.hpp | 62 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 62 insertions(+)
 create mode 100644 tests/test_helper.hpp

diff --git a/tests/test_helper.hpp b/tests/test_helper.hpp
new file mode 100644
index 0000000..045636d
--- /dev/null
+++ b/tests/test_helper.hpp
@@ -0,0 +1,62 @@
+#pragma once
+#include <cassert>
+#include <charconv>
+#include <cstdint>
+#include <random>
+#include <span>
+#include <string_view>
+
+namespace ml_dsa_test_helper {
+
+// Given a hex encoded string of length 2*L, this routine can be used for parsing it as a byte array of length L.
+template<size_t L>
+static inline std::array<uint8_t, L>
+from_hex(std::string_view bytes)
+{
+  const size_t blen = bytes.length();
+
+  assert(blen % 2 == 0);
+  assert(blen / 2 == L);
+
+  std::array<uint8_t, L> res{};
+
+  for (size_t i = 0; i < L; i++) {
+    const size_t off = i * 2;
+
+    uint8_t byte = 0;
+    auto sstr = bytes.substr(off, 2);
+    std::from_chars(sstr.data(), sstr.data() + 2, byte, 16);
+
+    res[i] = byte;
+  }
+
+  return res;
+}
+
+// Given a byte array, this routine randomly selects a bit and flips it. This routine is used for generating faulty data
+// during testing.
+//
+// Collects inspiration from
+// https://github.com/itzmeanjan/gift-cofb/blob/0bd9baa/wrapper/python/test_gift_cofb.py#L79-L101
+static inline void
+random_bit_flip(std::span<uint8_t> arr)
+{
+  std::random_device rd;
+  std::mt19937_64 gen(rd());
+  std::uniform_int_distribution<size_t> dis{ 0, arr.size() - 1 };
+
+  const size_t idx = dis(gen);
+  const size_t bidx = dis(gen) & 7ul;
+
+  const uint8_t mask0 = 0xff << (bidx + 1);
+  const uint8_t mask1 = 0xff >> (8 - bidx);
+  const uint8_t mask2 = 1 << bidx;
+
+  const uint8_t msb = arr[idx] & mask0;
+  const uint8_t lsb = arr[idx] & mask1;
+  const uint8_t bit = (arr[idx] & mask2) >> bidx;
+
+  arr[idx] = msb | ((1 - bit) << bidx) | lsb;
+}
+
+}

From 9eb9a38907cf88a74c86b8d411e2b625f3809520 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 20:44:04 +0400
Subject: [PATCH 26/37] Add alternate function definition for `from_hex`

Useful when byte length of output is not known at compile-time.

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_helper.hpp | 28 ++++++++++++++++++++++++++++
 1 file changed, 28 insertions(+)

diff --git a/tests/test_helper.hpp b/tests/test_helper.hpp
index 045636d..b2787ea 100644
--- a/tests/test_helper.hpp
+++ b/tests/test_helper.hpp
@@ -5,10 +5,13 @@
 #include <random>
 #include <span>
 #include <string_view>
+#include <vector>
 
 namespace ml_dsa_test_helper {
 
 // Given a hex encoded string of length 2*L, this routine can be used for parsing it as a byte array of length L.
+//
+// Note, template parameter and return type. Compare it with next function definition.
 template<size_t L>
 static inline std::array<uint8_t, L>
 from_hex(std::string_view bytes)
@@ -33,6 +36,31 @@ from_hex(std::string_view bytes)
   return res;
 }
 
+// Given a hex encoded string of length 2*L, this routine can be used for parsing it as a byte array of length L.
+//
+// Note, no template type required and return type is different from above function definition.
+static inline std::vector<uint8_t>
+from_hex(std::string_view hex)
+{
+  const size_t hlen = hex.length();
+  assert(hlen % 2 == 0);
+
+  const size_t blen = hlen / 2;
+  std::vector<uint8_t> res(blen, 0);
+
+  for (size_t i = 0; i < blen; i++) {
+    const size_t off = i * 2;
+
+    uint8_t byte = 0;
+    auto sstr = hex.substr(off, 2);
+    std::from_chars(sstr.data(), sstr.data() + 2, byte, 16);
+
+    res[i] = byte;
+  }
+
+  return res;
+}
+
 // Given a byte array, this routine randomly selects a bit and flips it. This routine is used for generating faulty data
 // during testing.
 //

From 27d38575b175e16e46a57ff1dcadc0b07f6a67bb Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 20:48:19 +0400
Subject: [PATCH 27/37] Reformat source tree while bumping `ColumnLimit` to
 *172*

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 .clang-format                                 |  2 +-
 include/ml_dsa/internals/math/field.hpp       |  5 +-
 include/ml_dsa/internals/ml_dsa.hpp           |  4 +-
 include/ml_dsa/internals/poly/bit_packing.hpp | 99 +++++++------------
 include/ml_dsa/internals/poly/poly.hpp        |  4 +-
 include/ml_dsa/internals/poly/polyvec.hpp     | 41 +++-----
 include/ml_dsa/internals/poly/sampling.hpp    |  4 +-
 include/ml_dsa/internals/rng/prng.hpp         |  3 +-
 include/ml_dsa/internals/utility/params.hpp   | 24 ++---
 include/ml_dsa/ml_dsa_44.hpp                  | 13 +--
 include/ml_dsa/ml_dsa_65.hpp                  | 13 +--
 include/ml_dsa/ml_dsa_87.hpp                  | 13 +--
 12 files changed, 74 insertions(+), 151 deletions(-)

diff --git a/.clang-format b/.clang-format
index 6f0145f..625b8ba 100644
--- a/.clang-format
+++ b/.clang-format
@@ -81,7 +81,7 @@ BreakBeforeTernaryOperators: true
 BreakConstructorInitializers: BeforeComma
 BreakInheritanceList: BeforeComma
 BreakStringLiterals: true
-ColumnLimit:     120
+ColumnLimit:     172
 CommentPragmas:  '^ IWYU pragma:'
 CompactNamespaces: false
 ConstructorInitializerIndentWidth: 2
diff --git a/include/ml_dsa/internals/math/field.hpp b/include/ml_dsa/internals/math/field.hpp
index 55ca179..b36701c 100644
--- a/include/ml_dsa/internals/math/field.hpp
+++ b/include/ml_dsa/internals/math/field.hpp
@@ -30,10 +30,7 @@ struct zq_t
   // Constructor(s)
   inline constexpr zq_t() = default;
   inline constexpr zq_t(const uint32_t val /* val ∈ [0, Q) */) { v = val; }
-  static inline constexpr zq_t from_non_reduced(const uint32_t val /* val ∈ [0, 2^32) */)
-  {
-    return barrett_reduce(val);
-  }
+  static inline constexpr zq_t from_non_reduced(const uint32_t val /* val ∈ [0, 2^32) */) { return barrett_reduce(val); }
 
   // Accessor
   inline constexpr uint32_t raw() const { return this->v; }
diff --git a/include/ml_dsa/internals/ml_dsa.hpp b/include/ml_dsa/internals/ml_dsa.hpp
index ae113fb..4ee4bfc 100644
--- a/include/ml_dsa/internals/ml_dsa.hpp
+++ b/include/ml_dsa/internals/ml_dsa.hpp
@@ -294,9 +294,7 @@ sign(std::span<const uint8_t, RND_BYTE_LEN> rnd,
 // See algorithm 3 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t k, size_t l, size_t d, uint32_t γ1, uint32_t γ2, uint32_t τ, uint32_t β, size_t ω, size_t λ>
 static inline bool
-verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey,
-       std::span<const uint8_t> msg,
-       std::span<const uint8_t, ml_dsa_utils::sig_len(k, l, γ1, ω, λ)> sig)
+verify(std::span<const uint8_t, ml_dsa_utils::pub_key_len(k, d)> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, ml_dsa_utils::sig_len(k, l, γ1, ω, λ)> sig)
   requires(ml_dsa_params::check_verify_params(k, l, d, γ1, γ2, τ, β, ω, λ))
 {
   constexpr size_t t1_bw = std::bit_width(ml_dsa_field::Q) - d;
diff --git a/include/ml_dsa/internals/poly/bit_packing.hpp b/include/ml_dsa/internals/poly/bit_packing.hpp
index ea11c7f..e0df7df 100644
--- a/include/ml_dsa/internals/poly/bit_packing.hpp
+++ b/include/ml_dsa/internals/poly/bit_packing.hpp
@@ -14,8 +14,7 @@ namespace ml_dsa_bit_packing {
 // See algorithm 10 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<size_t sbw>
 static inline constexpr void
-encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
-       std::span<uint8_t, (ml_dsa_ntt::N * sbw) / std::numeric_limits<uint8_t>::digits> arr)
+encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly, std::span<uint8_t, (ml_dsa_ntt::N * sbw) / std::numeric_limits<uint8_t>::digits> arr)
   requires(ml_dsa_params::check_sbw(sbw))
 {
   std::fill(arr.begin(), arr.end(), 0);
@@ -30,15 +29,11 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
       const size_t poff = i << 3;
       const size_t boff = i * 3;
 
-      arr[boff + 0] = (static_cast<uint8_t>(poly[poff + 2].raw() & mask2) << 6) |
-                      (static_cast<uint8_t>(poly[poff + 1].raw() & mask3) << 3) |
+      arr[boff + 0] = (static_cast<uint8_t>(poly[poff + 2].raw() & mask2) << 6) | (static_cast<uint8_t>(poly[poff + 1].raw() & mask3) << 3) |
                       (static_cast<uint8_t>(poly[poff + 0].raw() & mask3) << 0);
-      arr[boff + 1] = (static_cast<uint8_t>(poly[poff + 5].raw() & mask1) << 7) |
-                      (static_cast<uint8_t>(poly[poff + 4].raw() & mask3) << 4) |
-                      (static_cast<uint8_t>(poly[poff + 3].raw() & mask3) << 1) |
-                      static_cast<uint8_t>((poly[poff + 2].raw() >> 2) & mask1);
-      arr[boff + 2] = (static_cast<uint8_t>(poly[poff + 7].raw() & mask3) << 5) |
-                      (static_cast<uint8_t>(poly[poff + 6].raw() & mask3) << 2) |
+      arr[boff + 1] = (static_cast<uint8_t>(poly[poff + 5].raw() & mask1) << 7) | (static_cast<uint8_t>(poly[poff + 4].raw() & mask3) << 4) |
+                      (static_cast<uint8_t>(poly[poff + 3].raw() & mask3) << 1) | static_cast<uint8_t>((poly[poff + 2].raw() >> 2) & mask1);
+      arr[boff + 2] = (static_cast<uint8_t>(poly[poff + 7].raw() & mask3) << 5) | (static_cast<uint8_t>(poly[poff + 6].raw() & mask3) << 2) |
                       static_cast<uint8_t>((poly[poff + 5].raw() >> 1) & mask2);
     }
   } else if constexpr (sbw == 4) {
@@ -47,8 +42,7 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
 
     for (size_t i = 0; i < itr_cnt; i++) {
       const size_t off = i << 1;
-      const uint8_t byte = (static_cast<uint8_t>(poly[off + 1].raw() & mask) << 4) |
-                           (static_cast<uint8_t>(poly[off + 0].raw() & mask) << 0);
+      const uint8_t byte = (static_cast<uint8_t>(poly[off + 1].raw() & mask) << 4) | (static_cast<uint8_t>(poly[off + 0].raw() & mask) << 0);
 
       arr[i] = byte;
     }
@@ -62,12 +56,9 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
       const size_t poff = i << 2;
       const size_t boff = i * 3;
 
-      arr[boff + 0] = (static_cast<uint8_t>(poly[poff + 1].raw() & mask2) << 6) |
-                      (static_cast<uint8_t>(poly[poff + 0].raw() & mask6) << 0);
-      arr[boff + 1] = (static_cast<uint8_t>(poly[poff + 2].raw() & mask4) << 4) |
-                      static_cast<uint8_t>((poly[poff + 1].raw() >> 2) & mask4);
-      arr[boff + 2] = (static_cast<uint8_t>(poly[poff + 3].raw() & mask6) << 2) |
-                      static_cast<uint8_t>((poly[poff + 2].raw() >> 4) & mask2);
+      arr[boff + 0] = (static_cast<uint8_t>(poly[poff + 1].raw() & mask2) << 6) | (static_cast<uint8_t>(poly[poff + 0].raw() & mask6) << 0);
+      arr[boff + 1] = (static_cast<uint8_t>(poly[poff + 2].raw() & mask4) << 4) | static_cast<uint8_t>((poly[poff + 1].raw() >> 2) & mask4);
+      arr[boff + 2] = (static_cast<uint8_t>(poly[poff + 3].raw() & mask6) << 2) | static_cast<uint8_t>((poly[poff + 2].raw() >> 4) & mask2);
     }
   } else if constexpr (sbw == 10) {
     constexpr size_t itr_cnt = poly.size() >> 2;
@@ -80,12 +71,9 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
       const size_t boff = i * 5;
 
       arr[boff + 0] = static_cast<uint8_t>(poly[poff + 0].raw());
-      arr[boff + 1] = static_cast<uint8_t>((poly[poff + 1].raw() & mask6) << 2) |
-                      static_cast<uint8_t>((poly[poff + 0].raw() >> 8) & mask2);
-      arr[boff + 2] = static_cast<uint8_t>((poly[poff + 2].raw() & mask4) << 4) |
-                      static_cast<uint8_t>((poly[poff + 1].raw() >> 6) & mask4);
-      arr[boff + 3] = static_cast<uint8_t>((poly[poff + 3].raw() & mask2) << 6) |
-                      static_cast<uint8_t>((poly[poff + 2].raw() >> 4) & mask6);
+      arr[boff + 1] = static_cast<uint8_t>((poly[poff + 1].raw() & mask6) << 2) | static_cast<uint8_t>((poly[poff + 0].raw() >> 8) & mask2);
+      arr[boff + 2] = static_cast<uint8_t>((poly[poff + 2].raw() & mask4) << 4) | static_cast<uint8_t>((poly[poff + 1].raw() >> 6) & mask4);
+      arr[boff + 3] = static_cast<uint8_t>((poly[poff + 3].raw() & mask2) << 6) | static_cast<uint8_t>((poly[poff + 2].raw() >> 4) & mask6);
       arr[boff + 4] = static_cast<uint8_t>(poly[poff + 3].raw() >> 2);
     }
   } else if constexpr (sbw == 13) {
@@ -103,24 +91,17 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
       const size_t boff = i * 13;
 
       arr[boff + 0] = static_cast<uint8_t>(poly[poff + 0].raw());
-      arr[boff + 1] = static_cast<uint8_t>((poly[poff + 1].raw() & mask3) << 5) |
-                      static_cast<uint8_t>((poly[poff + 0].raw() >> 8) & mask5);
+      arr[boff + 1] = static_cast<uint8_t>((poly[poff + 1].raw() & mask3) << 5) | static_cast<uint8_t>((poly[poff + 0].raw() >> 8) & mask5);
       arr[boff + 2] = static_cast<uint8_t>(poly[poff + 1].raw() >> 3);
-      arr[boff + 3] = static_cast<uint8_t>((poly[poff + 2].raw() & mask6) << 2) |
-                      static_cast<uint8_t>((poly[poff + 1].raw() >> 11) & mask2);
-      arr[boff + 4] = static_cast<uint8_t>((poly[poff + 3].raw() & mask1) << 7) |
-                      static_cast<uint8_t>((poly[poff + 2].raw() >> 6) & mask7);
+      arr[boff + 3] = static_cast<uint8_t>((poly[poff + 2].raw() & mask6) << 2) | static_cast<uint8_t>((poly[poff + 1].raw() >> 11) & mask2);
+      arr[boff + 4] = static_cast<uint8_t>((poly[poff + 3].raw() & mask1) << 7) | static_cast<uint8_t>((poly[poff + 2].raw() >> 6) & mask7);
       arr[boff + 5] = static_cast<uint8_t>(poly[poff + 3].raw() >> 1);
-      arr[boff + 6] = static_cast<uint8_t>((poly[poff + 4].raw() & mask4) << 4) |
-                      static_cast<uint8_t>((poly[poff + 3].raw() >> 9) & mask4);
+      arr[boff + 6] = static_cast<uint8_t>((poly[poff + 4].raw() & mask4) << 4) | static_cast<uint8_t>((poly[poff + 3].raw() >> 9) & mask4);
       arr[boff + 7] = static_cast<uint8_t>(poly[poff + 4].raw() >> 4);
-      arr[boff + 8] = static_cast<uint8_t>((poly[poff + 5].raw() & mask7) << 1) |
-                      static_cast<uint8_t>((poly[poff + 4].raw() >> 12) & mask1);
-      arr[boff + 9] = static_cast<uint8_t>((poly[poff + 6].raw() & mask2) << 6) |
-                      static_cast<uint8_t>((poly[poff + 5].raw() >> 7) & mask6);
+      arr[boff + 8] = static_cast<uint8_t>((poly[poff + 5].raw() & mask7) << 1) | static_cast<uint8_t>((poly[poff + 4].raw() >> 12) & mask1);
+      arr[boff + 9] = static_cast<uint8_t>((poly[poff + 6].raw() & mask2) << 6) | static_cast<uint8_t>((poly[poff + 5].raw() >> 7) & mask6);
       arr[boff + 10] = static_cast<uint8_t>(poly[poff + 6].raw() >> 2);
-      arr[boff + 11] = static_cast<uint8_t>((poly[poff + 7].raw() & mask5) << 3) |
-                       static_cast<uint8_t>((poly[poff + 6].raw() >> 10) & mask3);
+      arr[boff + 11] = static_cast<uint8_t>((poly[poff + 7].raw() & mask5) << 3) | static_cast<uint8_t>((poly[poff + 6].raw() >> 10) & mask3);
       arr[boff + 12] = static_cast<uint8_t>(poly[poff + 7].raw() >> 5);
     }
   } else if constexpr (sbw == 18) {
@@ -135,14 +116,11 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
 
       arr[boff + 0] = static_cast<uint8_t>(poly[poff + 0].raw());
       arr[boff + 1] = static_cast<uint8_t>(poly[poff + 0].raw() >> 8);
-      arr[boff + 2] = static_cast<uint8_t>((poly[poff + 1].raw() & mask6) << 2) |
-                      static_cast<uint8_t>((poly[poff + 0].raw() >> 16) & mask2);
+      arr[boff + 2] = static_cast<uint8_t>((poly[poff + 1].raw() & mask6) << 2) | static_cast<uint8_t>((poly[poff + 0].raw() >> 16) & mask2);
       arr[boff + 3] = static_cast<uint8_t>(poly[poff + 1].raw() >> 6);
-      arr[boff + 4] = static_cast<uint8_t>((poly[poff + 2].raw() & mask4) << 4) |
-                      static_cast<uint8_t>((poly[poff + 1].raw() >> 14) & mask4);
+      arr[boff + 4] = static_cast<uint8_t>((poly[poff + 2].raw() & mask4) << 4) | static_cast<uint8_t>((poly[poff + 1].raw() >> 14) & mask4);
       arr[boff + 5] = static_cast<uint8_t>(poly[poff + 2].raw() >> 4);
-      arr[boff + 6] = static_cast<uint8_t>((poly[poff + 3].raw() & mask2) << 6) |
-                      static_cast<uint8_t>((poly[poff + 2].raw() >> 12) & mask6);
+      arr[boff + 6] = static_cast<uint8_t>((poly[poff + 3].raw() & mask2) << 6) | static_cast<uint8_t>((poly[poff + 2].raw() >> 12) & mask6);
       arr[boff + 7] = static_cast<uint8_t>(poly[poff + 3].raw() >> 2);
       arr[boff + 8] = static_cast<uint8_t>(poly[poff + 3].raw() >> 10);
     }
@@ -156,8 +134,7 @@ encode(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
 
       arr[boff + 0] = static_cast<uint8_t>(poly[poff + 0].raw());
       arr[boff + 1] = static_cast<uint8_t>(poly[poff + 0].raw() >> 8);
-      arr[boff + 2] = static_cast<uint8_t>((poly[poff + 1].raw() & mask4) << 4) |
-                      static_cast<uint8_t>((poly[poff + 0].raw() >> 16) & mask4);
+      arr[boff + 2] = static_cast<uint8_t>((poly[poff + 1].raw() & mask4) << 4) | static_cast<uint8_t>((poly[poff + 0].raw() >> 16) & mask4);
       arr[boff + 3] = static_cast<uint8_t>(poly[poff + 1].raw() >> 4);
       arr[boff + 4] = static_cast<uint8_t>(poly[poff + 1].raw() >> 12);
     }
@@ -262,16 +239,12 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
       const size_t boff = i * 13;
 
       poly[poff + 0] = (static_cast<uint32_t>(arr[boff + 1] & mask5) << 8) | static_cast<uint32_t>(arr[boff + 0]);
-      poly[poff + 1] = (static_cast<uint32_t>(arr[boff + 3] & mask2) << 11) |
-                       (static_cast<uint32_t>(arr[boff + 2]) << 3) | static_cast<uint32_t>(arr[boff + 1] >> 5);
+      poly[poff + 1] = (static_cast<uint32_t>(arr[boff + 3] & mask2) << 11) | (static_cast<uint32_t>(arr[boff + 2]) << 3) | static_cast<uint32_t>(arr[boff + 1] >> 5);
       poly[poff + 2] = (static_cast<uint32_t>(arr[boff + 4] & mask7) << 6) | static_cast<uint32_t>(arr[boff + 3] >> 2);
-      poly[poff + 3] = (static_cast<uint32_t>(arr[boff + 6] & mask4) << 9) |
-                       (static_cast<uint32_t>(arr[boff + 5]) << 1) | static_cast<uint32_t>(arr[boff + 4] >> 7);
-      poly[poff + 4] = (static_cast<uint32_t>(arr[boff + 8] & mask1) << 12) |
-                       (static_cast<uint32_t>(arr[boff + 7]) << 4) | static_cast<uint32_t>(arr[boff + 6] >> 4);
+      poly[poff + 3] = (static_cast<uint32_t>(arr[boff + 6] & mask4) << 9) | (static_cast<uint32_t>(arr[boff + 5]) << 1) | static_cast<uint32_t>(arr[boff + 4] >> 7);
+      poly[poff + 4] = (static_cast<uint32_t>(arr[boff + 8] & mask1) << 12) | (static_cast<uint32_t>(arr[boff + 7]) << 4) | static_cast<uint32_t>(arr[boff + 6] >> 4);
       poly[poff + 5] = (static_cast<uint32_t>(arr[boff + 9] & mask6) << 7) | static_cast<uint32_t>(arr[boff + 8] >> 1);
-      poly[poff + 6] = (static_cast<uint32_t>(arr[boff + 11] & mask3) << 10) |
-                       (static_cast<uint32_t>(arr[boff + 10]) << 2) | static_cast<uint32_t>(arr[boff + 9] >> 6);
+      poly[poff + 6] = (static_cast<uint32_t>(arr[boff + 11] & mask3) << 10) | (static_cast<uint32_t>(arr[boff + 10]) << 2) | static_cast<uint32_t>(arr[boff + 9] >> 6);
       poly[poff + 7] = (static_cast<uint32_t>(arr[boff + 12]) << 5) | static_cast<uint32_t>(arr[boff + 11] >> 3);
     }
   } else if constexpr (sbw == 18) {
@@ -284,14 +257,10 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
       const size_t poff = i << 2;
       const size_t boff = i * 9;
 
-      poly[poff + 0] = (static_cast<uint32_t>(arr[boff + 2] & mask2) << 16) |
-                       (static_cast<uint32_t>(arr[boff + 1]) << 8) | static_cast<uint32_t>(arr[boff + 0]);
-      poly[poff + 1] = (static_cast<uint32_t>(arr[boff + 4] & mask4) << 14) |
-                       (static_cast<uint32_t>(arr[boff + 3]) << 6) | static_cast<uint32_t>(arr[boff + 2] >> 2);
-      poly[poff + 2] = (static_cast<uint32_t>(arr[boff + 6] & mask6) << 12) |
-                       (static_cast<uint32_t>(arr[boff + 5]) << 4) | static_cast<uint32_t>(arr[boff + 4] >> 4);
-      poly[poff + 3] = (static_cast<uint32_t>(arr[boff + 8]) << 10) | (static_cast<uint32_t>(arr[boff + 7]) << 2) |
-                       static_cast<uint32_t>(arr[boff + 6] >> 6);
+      poly[poff + 0] = (static_cast<uint32_t>(arr[boff + 2] & mask2) << 16) | (static_cast<uint32_t>(arr[boff + 1]) << 8) | static_cast<uint32_t>(arr[boff + 0]);
+      poly[poff + 1] = (static_cast<uint32_t>(arr[boff + 4] & mask4) << 14) | (static_cast<uint32_t>(arr[boff + 3]) << 6) | static_cast<uint32_t>(arr[boff + 2] >> 2);
+      poly[poff + 2] = (static_cast<uint32_t>(arr[boff + 6] & mask6) << 12) | (static_cast<uint32_t>(arr[boff + 5]) << 4) | static_cast<uint32_t>(arr[boff + 4] >> 4);
+      poly[poff + 3] = (static_cast<uint32_t>(arr[boff + 8]) << 10) | (static_cast<uint32_t>(arr[boff + 7]) << 2) | static_cast<uint32_t>(arr[boff + 6] >> 6);
     }
   } else if constexpr (sbw == 20) {
     constexpr size_t itr_cnt = poly.size() >> 1;
@@ -301,10 +270,8 @@ decode(std::span<const uint8_t, ml_dsa_ntt::N * sbw / 8> arr, std::span<ml_dsa_f
       const size_t poff = i << 1;
       const size_t boff = i * 5;
 
-      poly[poff + 0] = (static_cast<uint32_t>(arr[boff + 2] & mask4) << 16) |
-                       (static_cast<uint32_t>(arr[boff + 1]) << 8) | static_cast<uint32_t>(arr[boff + 0]);
-      poly[poff + 1] = (static_cast<uint32_t>(arr[boff + 4]) << 12) | (static_cast<uint32_t>(arr[boff + 3]) << 4) |
-                       static_cast<uint32_t>(arr[boff + 2] >> 4);
+      poly[poff + 0] = (static_cast<uint32_t>(arr[boff + 2] & mask4) << 16) | (static_cast<uint32_t>(arr[boff + 1]) << 8) | static_cast<uint32_t>(arr[boff + 0]);
+      poly[poff + 1] = (static_cast<uint32_t>(arr[boff + 4]) << 12) | (static_cast<uint32_t>(arr[boff + 3]) << 4) | static_cast<uint32_t>(arr[boff + 2] >> 4);
     }
   } else {
     for (size_t i = 0; i < arr.size() * 8; i++) {
diff --git a/include/ml_dsa/internals/poly/poly.hpp b/include/ml_dsa/internals/poly/poly.hpp
index 2c2c8d3..4a08775 100644
--- a/include/ml_dsa/internals/poly/poly.hpp
+++ b/include/ml_dsa/internals/poly/poly.hpp
@@ -26,9 +26,7 @@ power2round(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
 
 // Given two degree-255 polynomials in NTT representation, this routine performs element-wise multiplication over Z_q.
 static inline constexpr void
-mul(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya,
-    std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyb,
-    std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> polyc)
+mul(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polya, std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> polyb, std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N> polyc)
 {
   for (size_t i = 0; i < polya.size(); i++) {
     polyc[i] = polya[i] * polyb[i];
diff --git a/include/ml_dsa/internals/poly/polyvec.hpp b/include/ml_dsa/internals/poly/polyvec.hpp
index 32826d3..7e090c8 100644
--- a/include/ml_dsa/internals/poly/polyvec.hpp
+++ b/include/ml_dsa/internals/poly/polyvec.hpp
@@ -43,9 +43,7 @@ power2round(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    ml_dsa_poly::power2round<d>(const_poly_t(poly.subspan(off, ml_dsa_ntt::N)),
-                                poly_t(poly_hi.subspan(off, ml_dsa_ntt::N)),
-                                poly_t(poly_lo.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::power2round<d>(const_poly_t(poly.subspan(off, ml_dsa_ntt::N)), poly_t(poly_hi.subspan(off, ml_dsa_ntt::N)), poly_t(poly_lo.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -69,8 +67,7 @@ matrix_multiply(std::span<const ml_dsa_field::zq_t, a_rows * a_cols * ml_dsa_ntt
         const size_t aoff = (i * a_cols + k) * ml_dsa_ntt::N;
         const size_t boff = (k * b_cols + j) * ml_dsa_ntt::N;
 
-        ml_dsa_poly::mul(
-          const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), tmp_span);
+        ml_dsa_poly::mul(const_poly_t(a.subspan(aoff, ml_dsa_ntt::N)), const_poly_t(b.subspan(boff, ml_dsa_ntt::N)), tmp_span);
 
         for (size_t l = 0; l < tmp_span.size(); l++) {
           c[coff + l] += tmp_span[l];
@@ -125,8 +122,7 @@ sub_from_x(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> vec)
 // 32 x sbw -bytes, writing to a (k x 32 x sbw) -bytes destination array.
 template<size_t k, size_t sbw>
 static inline constexpr void
-encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
-       std::span<uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<uint8_t>::digits> dst)
+encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<uint8_t>::digits> dst)
 {
   // Byte length of degree-255 polynomial after serialization
   constexpr size_t poly_blen = dst.size() / k;
@@ -135,8 +131,7 @@ encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
     const size_t off0 = i * ml_dsa_ntt::N;
     const size_t off1 = i * poly_blen;
 
-    ml_dsa_bit_packing::encode<sbw>(const_poly_t(src.subspan(off0, ml_dsa_ntt::N)),
-                                    std::span<uint8_t, poly_blen>(dst.subspan(off1, poly_blen)));
+    ml_dsa_bit_packing::encode<sbw>(const_poly_t(src.subspan(off0, ml_dsa_ntt::N)), std::span<uint8_t, poly_blen>(dst.subspan(off1, poly_blen)));
   }
 }
 
@@ -144,8 +139,7 @@ encode(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
 // them to a column vector of dimension k x 1.
 template<size_t k, size_t sbw>
 static inline constexpr void
-decode(std::span<const uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<uint8_t>::digits> src,
-       std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
+decode(std::span<const uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<uint8_t>::digits> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   // Byte length of degree-255 polynomial after serialization
   constexpr size_t poly_blen = src.size() / k;
@@ -154,29 +148,25 @@ decode(std::span<const uint8_t, (k * sbw * ml_dsa_ntt::N) / std::numeric_limits<
     const size_t off0 = i * poly_blen;
     const size_t off1 = i * ml_dsa_ntt::N;
 
-    ml_dsa_bit_packing::decode<sbw>(std::span<const uint8_t, poly_blen>(src.subspan(off0, poly_blen)),
-                                    poly_t(dst.subspan(off1, ml_dsa_ntt::N)));
+    ml_dsa_bit_packing::decode<sbw>(std::span<const uint8_t, poly_blen>(src.subspan(off0, poly_blen)), poly_t(dst.subspan(off1, ml_dsa_ntt::N)));
   }
 }
 
 // Given a vector (of dimension k x 1) of degree-255 polynomials, it extracts out high order bits from each coefficient.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-highbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
-         std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
+highbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    ml_dsa_poly::highbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)),
-                                 poly_t(dst.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::highbits<alpha>(const_poly_t(src.subspan(off, ml_dsa_ntt::N)), poly_t(dst.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
 // Given a vector (of dimension k x 1) of degree-255 polynomials, it extracts out low order bits from each coefficient.
 template<size_t k, uint32_t alpha>
 static inline constexpr void
-lowbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src,
-        std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
+lowbits(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> src, std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> dst)
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
@@ -194,8 +184,7 @@ mul_by_poly(std::span<const ml_dsa_field::zq_t, ml_dsa_ntt::N> poly,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    ml_dsa_poly::mul(
-      poly, const_poly_t(src_vec.subspan(off, ml_dsa_ntt::N)), poly_t(dst_vec.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::mul(poly, const_poly_t(src_vec.subspan(off, ml_dsa_ntt::N)), poly_t(dst_vec.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -224,9 +213,8 @@ make_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polya,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    ml_dsa_poly::make_hint<alpha>(const_poly_t(polya.subspan(off, ml_dsa_ntt::N)),
-                                  const_poly_t(polyb.subspan(off, ml_dsa_ntt::N)),
-                                  poly_t(polyc.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::make_hint<alpha>(
+      const_poly_t(polya.subspan(off, ml_dsa_ntt::N)), const_poly_t(polyb.subspan(off, ml_dsa_ntt::N)), poly_t(polyc.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
@@ -240,9 +228,8 @@ use_hint(std::span<const ml_dsa_field::zq_t, k * ml_dsa_ntt::N> polyh,
 {
   for (size_t i = 0; i < k; i++) {
     const size_t off = i * ml_dsa_ntt::N;
-    ml_dsa_poly::use_hint<alpha>(const_poly_t(polyh.subspan(off, ml_dsa_ntt::N)),
-                                 const_poly_t(polyr.subspan(off, ml_dsa_ntt::N)),
-                                 poly_t(polyrz.subspan(off, ml_dsa_ntt::N)));
+    ml_dsa_poly::use_hint<alpha>(
+      const_poly_t(polyh.subspan(off, ml_dsa_ntt::N)), const_poly_t(polyr.subspan(off, ml_dsa_ntt::N)), poly_t(polyrz.subspan(off, ml_dsa_ntt::N)));
   }
 }
 
diff --git a/include/ml_dsa/internals/poly/sampling.hpp b/include/ml_dsa/internals/poly/sampling.hpp
index 399c48f..4c77d66 100644
--- a/include/ml_dsa/internals/poly/sampling.hpp
+++ b/include/ml_dsa/internals/poly/sampling.hpp
@@ -140,9 +140,7 @@ expand_s(std::span<const uint8_t, 64> rho_prime, std::span<ml_dsa_field::zq_t, k
 // See algorithm 28 of ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
 template<uint32_t γ1, size_t l>
 static inline constexpr void
-expand_mask(std::span<const uint8_t, 64> seed,
-            const uint16_t nonce,
-            std::span<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> vec)
+expand_mask(std::span<const uint8_t, 64> seed, const uint16_t nonce, std::span<ml_dsa_field::zq_t, l * ml_dsa_ntt::N> vec)
   requires(ml_dsa_params::check_γ1(γ1))
 {
   constexpr size_t gbw = std::bit_width(2 * γ1 - 1u);
diff --git a/include/ml_dsa/internals/rng/prng.hpp b/include/ml_dsa/internals/rng/prng.hpp
index 2063d50..b7e01b9 100644
--- a/include/ml_dsa/internals/rng/prng.hpp
+++ b/include/ml_dsa/internals/rng/prng.hpp
@@ -47,8 +47,7 @@ struct prng_t
   }
 
   // Explicit constructor which can be used for seeding PRNG.
-  inline explicit constexpr prng_t(
-    std::span<const uint8_t, bit_security_level / std::numeric_limits<uint8_t>::digits> seed)
+  inline explicit constexpr prng_t(std::span<const uint8_t, bit_security_level / std::numeric_limits<uint8_t>::digits> seed)
   {
     state.absorb(seed);
     state.finalize();
diff --git a/include/ml_dsa/internals/utility/params.hpp b/include/ml_dsa/internals/utility/params.hpp
index 8a085d9..b0c3ea2 100644
--- a/include/ml_dsa/internals/utility/params.hpp
+++ b/include/ml_dsa/internals/utility/params.hpp
@@ -88,12 +88,12 @@ check_signing_params(const size_t k,
                      const size_t ω,
                      const size_t λ)
 {
-  return ((k == 4) && (l == 4) && (d == 13) && (η == 2) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) &&
-          (τ == 39) && (β == τ * η) && (ω == 80) && (λ == 128)) || // ML-DSA-44
-         ((k == 6) && (l == 5) && (d == 13) && (η == 4) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 49) && (β == τ * η) && (ω == 55) && (λ == 192)) || // ML-DSA-65
-         ((k == 8) && (l == 7) && (d == 13) && (η == 2) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 60) && (β == τ * η) && (ω == 75) && (λ == 256)); // ML-DSA-87
+  return ((k == 4) && (l == 4) && (d == 13) && (η == 2) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) && (τ == 39) && (β == τ * η) && (ω == 80) &&
+          (λ == 128)) || // ML-DSA-44
+         ((k == 6) && (l == 5) && (d == 13) && (η == 4) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) && (τ == 49) && (β == τ * η) && (ω == 55) &&
+          (λ == 192)) || // ML-DSA-65
+         ((k == 8) && (l == 7) && (d == 13) && (η == 2) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) && (τ == 60) && (β == τ * η) && (ω == 75) &&
+          (λ == 256)); // ML-DSA-87
 }
 
 // Compile-time executable constraints for ensuring that ML-DSA verification algorithm is only invoked with arguments
@@ -109,12 +109,12 @@ check_verify_params(const size_t k,
                     const size_t ω,
                     const size_t λ)
 {
-  return ((k == 4) && (l == 4) && (d == 13) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) &&
-          (τ == 39) && (β == τ * 2) && (ω == 80) && (λ == 128)) || // ML-DSA-44
-         ((k == 6) && (l == 5) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 49) && (β == τ * 4) && (ω == 55) && (λ == 192)) || // ML-DSA-65
-         ((k == 8) && (l == 7) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) &&
-          (τ == 60) && (β == τ * 2) && (ω == 75) && (λ == 256)); // ML-DSA-87
+  return ((k == 4) && (l == 4) && (d == 13) && (γ1 == (1u << 17)) && (γ2 == ((ml_dsa_field::Q - 1) / 88)) && (τ == 39) && (β == τ * 2) && (ω == 80) &&
+          (λ == 128)) || // ML-DSA-44
+         ((k == 6) && (l == 5) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) && (τ == 49) && (β == τ * 4) && (ω == 55) &&
+          (λ == 192)) || // ML-DSA-65
+         ((k == 8) && (l == 7) && (d == 13) && (γ1 == (1u << 19)) && (γ2 == ((ml_dsa_field::Q - 1) / 32)) && (τ == 60) && (β == τ * 2) && (ω == 75) &&
+          (λ == 256)); // ML-DSA-87
 }
 
 }
diff --git a/include/ml_dsa/ml_dsa_44.hpp b/include/ml_dsa/ml_dsa_44.hpp
index c7d83e7..813a6b0 100644
--- a/include/ml_dsa/ml_dsa_44.hpp
+++ b/include/ml_dsa/ml_dsa_44.hpp
@@ -32,9 +32,7 @@ static constexpr size_t SigByteLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh ML-DSA-44 keypair.
 inline void
-keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
-       std::span<uint8_t, PubKeyByteLen> pubkey,
-       std::span<uint8_t, SecKeyByteLen> seckey)
+keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ, std::span<uint8_t, PubKeyByteLen> pubkey, std::span<uint8_t, SecKeyByteLen> seckey)
 {
   ml_dsa::keygen<k, l, d, η>(ξ, pubkey, seckey);
 }
@@ -45,10 +43,7 @@ keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
 // Default (and recommended) signing mode is "hedged" i.e. using 32B input randomness for signing, results into
 // randomized signature. For "deterministic" signing mode, simply fill `rnd` with zero bytes.
 inline void
-sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
-     std::span<const uint8_t, SecKeyByteLen> seckey,
-     std::span<const uint8_t> msg,
-     std::span<uint8_t, SigByteLen> sig)
+sign(std::span<const uint8_t, SigningSeedByteLen> rnd, std::span<const uint8_t, SecKeyByteLen> seckey, std::span<const uint8_t> msg, std::span<uint8_t, SigByteLen> sig)
 {
   ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
@@ -57,9 +52,7 @@ sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
 // is valid for the provided message or not, returning truth value only in case of successful signature verification,
 // otherwise false is returned.
 inline bool
-verify(std::span<const uint8_t, PubKeyByteLen> pubkey,
-       std::span<const uint8_t> msg,
-       std::span<const uint8_t, SigByteLen> sig)
+verify(std::span<const uint8_t, PubKeyByteLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigByteLen> sig)
 {
   return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
diff --git a/include/ml_dsa/ml_dsa_65.hpp b/include/ml_dsa/ml_dsa_65.hpp
index 69f5c23..947ad10 100644
--- a/include/ml_dsa/ml_dsa_65.hpp
+++ b/include/ml_dsa/ml_dsa_65.hpp
@@ -32,9 +32,7 @@ static constexpr size_t SigByteLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh ML-DSA-65 keypair.
 inline void
-keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
-       std::span<uint8_t, PubKeyByteLen> pubkey,
-       std::span<uint8_t, SecKeyByteLen> seckey)
+keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ, std::span<uint8_t, PubKeyByteLen> pubkey, std::span<uint8_t, SecKeyByteLen> seckey)
 {
   ml_dsa::keygen<k, l, d, η>(ξ, pubkey, seckey);
 }
@@ -45,10 +43,7 @@ keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
 // Default (and recommended) signing mode is "hedged" i.e. using 32B input randomness for signing, results into
 // randomized signature. For "deterministic" signing mode, simply fill `rnd` with zero bytes.
 inline void
-sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
-     std::span<const uint8_t, SecKeyByteLen> seckey,
-     std::span<const uint8_t> msg,
-     std::span<uint8_t, SigByteLen> sig)
+sign(std::span<const uint8_t, SigningSeedByteLen> rnd, std::span<const uint8_t, SecKeyByteLen> seckey, std::span<const uint8_t> msg, std::span<uint8_t, SigByteLen> sig)
 {
   ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
@@ -57,9 +52,7 @@ sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
 // is valid for the provided message or not, returning truth value only in case of successful signature verification,
 // otherwise false is returned.
 inline bool
-verify(std::span<const uint8_t, PubKeyByteLen> pubkey,
-       std::span<const uint8_t> msg,
-       std::span<const uint8_t, SigByteLen> sig)
+verify(std::span<const uint8_t, PubKeyByteLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigByteLen> sig)
 {
   return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }
diff --git a/include/ml_dsa/ml_dsa_87.hpp b/include/ml_dsa/ml_dsa_87.hpp
index 33a9606..34d4a99 100644
--- a/include/ml_dsa/ml_dsa_87.hpp
+++ b/include/ml_dsa/ml_dsa_87.hpp
@@ -32,9 +32,7 @@ static constexpr size_t SigByteLen = ml_dsa_utils::sig_len(k, l, γ1, ω, λ);
 
 // Given a 32 -bytes seed, this routine can be used for generating a fresh ML-DSA-87 keypair.
 inline void
-keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
-       std::span<uint8_t, PubKeyByteLen> pubkey,
-       std::span<uint8_t, SecKeyByteLen> seckey)
+keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ, std::span<uint8_t, PubKeyByteLen> pubkey, std::span<uint8_t, SecKeyByteLen> seckey)
 {
   ml_dsa::keygen<k, l, d, η>(ξ, pubkey, seckey);
 }
@@ -45,10 +43,7 @@ keygen(std::span<const uint8_t, KeygenSeedByteLen> ξ,
 // Default (and recommended) signing mode is "hedged" i.e. using 32B input randomness for signing, results into
 // randomized signature. For "deterministic" signing mode, simply fill `rnd` with zero bytes.
 inline void
-sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
-     std::span<const uint8_t, SecKeyByteLen> seckey,
-     std::span<const uint8_t> msg,
-     std::span<uint8_t, SigByteLen> sig)
+sign(std::span<const uint8_t, SigningSeedByteLen> rnd, std::span<const uint8_t, SecKeyByteLen> seckey, std::span<const uint8_t> msg, std::span<uint8_t, SigByteLen> sig)
 {
   ml_dsa::sign<k, l, d, η, γ1, γ2, τ, β, ω, λ>(rnd, seckey, msg, sig);
 }
@@ -57,9 +52,7 @@ sign(std::span<const uint8_t, SigningSeedByteLen> rnd,
 // is valid for the provided message or not, returning truth value only in case of successful signature verification,
 // otherwise false is returned.
 inline bool
-verify(std::span<const uint8_t, PubKeyByteLen> pubkey,
-       std::span<const uint8_t> msg,
-       std::span<const uint8_t, SigByteLen> sig)
+verify(std::span<const uint8_t, PubKeyByteLen> pubkey, std::span<const uint8_t> msg, std::span<const uint8_t, SigByteLen> sig)
 {
   return ml_dsa::verify<k, l, d, γ1, γ2, τ, β, ω, λ>(pubkey, msg, sig);
 }

From 4cb4cadb50a976f572a12c06c19f609ae3db6c09 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 20:55:34 +0400
Subject: [PATCH 28/37] Refactor ML-DSA Known Answer Tests - split them into
 different translation units

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_ml_dsa_44_kat.cpp |  92 +++++++++++
 tests/test_ml_dsa_65_kat.cpp |  92 +++++++++++
 tests/test_ml_dsa_87_kat.cpp |  92 +++++++++++
 tests/test_signing_kat.cpp   | 311 -----------------------------------
 4 files changed, 276 insertions(+), 311 deletions(-)
 create mode 100644 tests/test_ml_dsa_44_kat.cpp
 create mode 100644 tests/test_ml_dsa_65_kat.cpp
 create mode 100644 tests/test_ml_dsa_87_kat.cpp
 delete mode 100644 tests/test_signing_kat.cpp

diff --git a/tests/test_ml_dsa_44_kat.cpp b/tests/test_ml_dsa_44_kat.cpp
new file mode 100644
index 0000000..23d6719
--- /dev/null
+++ b/tests/test_ml_dsa_44_kat.cpp
@@ -0,0 +1,92 @@
+#include "ml_dsa/ml_dsa_44.hpp"
+#include "test_helper.hpp"
+#include <array>
+#include <cstdint>
+#include <fstream>
+#include <gtest/gtest.h>
+
+using namespace std::literals;
+
+// Use ML-DSA-44 known answer tests to ensure functional correctness and compatibility of this ML-DSA library
+// implementation with ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
+TEST(ML_DSA, ML_DSA_44_KnownAnswerTests)
+{
+  const std::string kat_file = "./kats/ml_dsa_44.kat";
+  std::fstream file(kat_file);
+
+  while (true) {
+    std::string seed0;
+
+    if (!std::getline(file, seed0).eof()) {
+      auto seed1 = std::string_view(seed0);
+      auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
+      const auto seed = ml_dsa_test_helper::from_hex<ml_dsa_44::KeygenSeedByteLen>(seed2);
+
+      std::string pkey0;
+      std::getline(file, pkey0);
+
+      auto pkey1 = std::string_view(pkey0);
+      auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
+      const auto pkey = ml_dsa_test_helper::from_hex<ml_dsa_44::PubKeyByteLen>(pkey2); // Expected public key
+
+      std::string skey0;
+      std::getline(file, skey0);
+
+      auto skey1 = std::string_view(skey0);
+      auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
+      const auto skey = ml_dsa_test_helper::from_hex<ml_dsa_44::SecKeyByteLen>(skey2); // Expected secret key
+
+      std::string mlen0;
+      std::getline(file, mlen0);
+      size_t mlen = 0; // Message byte length
+
+      auto mlen1 = std::string_view(mlen0);
+      auto mlen2 = mlen1.substr(mlen1.find("="sv) + 2, mlen1.size());
+      std::from_chars(mlen2.data(), mlen2.data() + mlen2.size(), mlen);
+
+      std::string msg0;
+      std::getline(file, msg0);
+
+      auto msg1 = std::string_view(msg0);
+      auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
+      const auto msg = ml_dsa_test_helper::from_hex(msg2);
+      const auto msg_span = std::span(msg); // Message to be signed
+
+      std::string rnd0;
+      std::getline(file, rnd0);
+
+      auto rnd1 = std::string_view(rnd0);
+      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
+      const auto rnd = ml_dsa_test_helper::from_hex<ml_dsa_44::SigningSeedByteLen>(rnd2); // Randomness for "randomized" message signing
+
+      std::string sig0;
+      std::getline(file, sig0);
+
+      auto sig1 = std::string_view(sig0);
+      auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
+      const auto sig = ml_dsa_test_helper::from_hex<ml_dsa_44::SigByteLen>(sig2); // Expected signature
+
+      std::array<uint8_t, ml_dsa_44::PubKeyByteLen> computed_pkey{};
+      std::array<uint8_t, ml_dsa_44::SecKeyByteLen> computed_skey{};
+      std::array<uint8_t, ml_dsa_44::SigByteLen> computed_sig{};
+
+      // Keygen -> Sign -> Verify
+      ml_dsa_44::keygen(seed, computed_pkey, computed_skey);
+      ml_dsa_44::sign(rnd, computed_skey, msg_span, computed_sig);
+      const auto is_valid = ml_dsa_44::verify(computed_pkey, msg_span, computed_sig);
+
+      // Check if computed public key, secret key and signature matches expected ones, from KAT file.
+      EXPECT_EQ(pkey, computed_pkey);
+      EXPECT_EQ(skey, computed_skey);
+      EXPECT_EQ(sig, computed_sig);
+      EXPECT_TRUE(is_valid);
+
+      std::string empty_line;
+      std::getline(file, empty_line);
+    } else {
+      break;
+    }
+  }
+
+  file.close();
+}
diff --git a/tests/test_ml_dsa_65_kat.cpp b/tests/test_ml_dsa_65_kat.cpp
new file mode 100644
index 0000000..7e3c068
--- /dev/null
+++ b/tests/test_ml_dsa_65_kat.cpp
@@ -0,0 +1,92 @@
+#include "ml_dsa/ml_dsa_65.hpp"
+#include "test_helper.hpp"
+#include <array>
+#include <cstdint>
+#include <fstream>
+#include <gtest/gtest.h>
+
+using namespace std::literals;
+
+// Use ML-DSA-65 known answer tests to ensure functional correctness and compatibility of this ML-DSA library
+// implementation with ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
+TEST(ML_DSA, ML_DSA_65_KnownAnswerTests)
+{
+  const std::string kat_file = "./kats/ml_dsa_65.kat";
+  std::fstream file(kat_file);
+
+  while (true) {
+    std::string seed0;
+
+    if (!std::getline(file, seed0).eof()) {
+      auto seed1 = std::string_view(seed0);
+      auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
+      const auto seed = ml_dsa_test_helper::from_hex<ml_dsa_65::KeygenSeedByteLen>(seed2);
+
+      std::string pkey0;
+      std::getline(file, pkey0);
+
+      auto pkey1 = std::string_view(pkey0);
+      auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
+      const auto pkey = ml_dsa_test_helper::from_hex<ml_dsa_65::PubKeyByteLen>(pkey2); // Expected public key
+
+      std::string skey0;
+      std::getline(file, skey0);
+
+      auto skey1 = std::string_view(skey0);
+      auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
+      const auto skey = ml_dsa_test_helper::from_hex<ml_dsa_65::SecKeyByteLen>(skey2); // Expected secret key
+
+      std::string mlen0;
+      std::getline(file, mlen0);
+      size_t mlen = 0; // Message byte length
+
+      auto mlen1 = std::string_view(mlen0);
+      auto mlen2 = mlen1.substr(mlen1.find("="sv) + 2, mlen1.size());
+      std::from_chars(mlen2.data(), mlen2.data() + mlen2.size(), mlen);
+
+      std::string msg0;
+      std::getline(file, msg0);
+
+      auto msg1 = std::string_view(msg0);
+      auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
+      const auto msg = ml_dsa_test_helper::from_hex(msg2);
+      const auto msg_span = std::span(msg); // Message to be signed
+
+      std::string rnd0;
+      std::getline(file, rnd0);
+
+      auto rnd1 = std::string_view(rnd0);
+      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
+      const auto rnd = ml_dsa_test_helper::from_hex<ml_dsa_65::SigningSeedByteLen>(rnd2); // Randomness for "randomized" message signing
+
+      std::string sig0;
+      std::getline(file, sig0);
+
+      auto sig1 = std::string_view(sig0);
+      auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
+      const auto sig = ml_dsa_test_helper::from_hex<ml_dsa_65::SigByteLen>(sig2); // Expected signature
+
+      std::array<uint8_t, ml_dsa_65::PubKeyByteLen> computed_pkey{};
+      std::array<uint8_t, ml_dsa_65::SecKeyByteLen> computed_skey{};
+      std::array<uint8_t, ml_dsa_65::SigByteLen> computed_sig{};
+
+      // Keygen -> Sign -> Verify
+      ml_dsa_65::keygen(seed, computed_pkey, computed_skey);
+      ml_dsa_65::sign(rnd, computed_skey, msg_span, computed_sig);
+      const auto is_valid = ml_dsa_65::verify(computed_pkey, msg_span, computed_sig);
+
+      // Check if computed public key, secret key and signature matches expected ones, from KAT file.
+      EXPECT_EQ(pkey, computed_pkey);
+      EXPECT_EQ(skey, computed_skey);
+      EXPECT_EQ(sig, computed_sig);
+      EXPECT_TRUE(is_valid);
+
+      std::string empty_line;
+      std::getline(file, empty_line);
+    } else {
+      break;
+    }
+  }
+
+  file.close();
+}
diff --git a/tests/test_ml_dsa_87_kat.cpp b/tests/test_ml_dsa_87_kat.cpp
new file mode 100644
index 0000000..389c644
--- /dev/null
+++ b/tests/test_ml_dsa_87_kat.cpp
@@ -0,0 +1,92 @@
+#include "ml_dsa/ml_dsa_87.hpp"
+#include "test_helper.hpp"
+#include <array>
+#include <cstdint>
+#include <fstream>
+#include <gtest/gtest.h>
+
+using namespace std::literals;
+
+// Use ML-DSA-87 known answer tests to ensure functional correctness and compatibility of this ML-DSA library
+// implementation with ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd.
+TEST(ML_DSA, ML_DSA_87_KnownAnswerTests)
+{
+  const std::string kat_file = "./kats/ml_dsa_87.kat";
+  std::fstream file(kat_file);
+
+  while (true) {
+    std::string seed0;
+
+    if (!std::getline(file, seed0).eof()) {
+      auto seed1 = std::string_view(seed0);
+      auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
+      const auto seed = ml_dsa_test_helper::from_hex<ml_dsa_87::KeygenSeedByteLen>(seed2);
+
+      std::string pkey0;
+      std::getline(file, pkey0);
+
+      auto pkey1 = std::string_view(pkey0);
+      auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
+      const auto pkey = ml_dsa_test_helper::from_hex<ml_dsa_87::PubKeyByteLen>(pkey2); // Expected public key
+
+      std::string skey0;
+      std::getline(file, skey0);
+
+      auto skey1 = std::string_view(skey0);
+      auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
+      const auto skey = ml_dsa_test_helper::from_hex<ml_dsa_87::SecKeyByteLen>(skey2); // Expected secret key
+
+      std::string mlen0;
+      std::getline(file, mlen0);
+      size_t mlen = 0; // Message byte length
+
+      auto mlen1 = std::string_view(mlen0);
+      auto mlen2 = mlen1.substr(mlen1.find("="sv) + 2, mlen1.size());
+      std::from_chars(mlen2.data(), mlen2.data() + mlen2.size(), mlen);
+
+      std::string msg0;
+      std::getline(file, msg0);
+
+      auto msg1 = std::string_view(msg0);
+      auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
+      const auto msg = ml_dsa_test_helper::from_hex(msg2);
+      const auto msg_span = std::span(msg); // Message to be signed
+
+      std::string rnd0;
+      std::getline(file, rnd0);
+
+      auto rnd1 = std::string_view(rnd0);
+      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
+      const auto rnd = ml_dsa_test_helper::from_hex<ml_dsa_87::SigningSeedByteLen>(rnd2); // Randomness for "randomized" message signing
+
+      std::string sig0;
+      std::getline(file, sig0);
+
+      auto sig1 = std::string_view(sig0);
+      auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
+      const auto sig = ml_dsa_test_helper::from_hex<ml_dsa_87::SigByteLen>(sig2); // Expected signature
+
+      std::array<uint8_t, ml_dsa_87::PubKeyByteLen> computed_pkey{};
+      std::array<uint8_t, ml_dsa_87::SecKeyByteLen> computed_skey{};
+      std::array<uint8_t, ml_dsa_87::SigByteLen> computed_sig{};
+
+      // Keygen -> Sign -> Verify
+      ml_dsa_87::keygen(seed, computed_pkey, computed_skey);
+      ml_dsa_87::sign(rnd, computed_skey, msg_span, computed_sig);
+      const auto is_valid = ml_dsa_87::verify(computed_pkey, msg_span, computed_sig);
+
+      // Check if computed public key, secret key and signature matches expected ones, from KAT file.
+      EXPECT_EQ(pkey, computed_pkey);
+      EXPECT_EQ(skey, computed_skey);
+      EXPECT_EQ(sig, computed_sig);
+      EXPECT_TRUE(is_valid);
+
+      std::string empty_line;
+      std::getline(file, empty_line);
+    } else {
+      break;
+    }
+  }
+
+  file.close();
+}
diff --git a/tests/test_signing_kat.cpp b/tests/test_signing_kat.cpp
deleted file mode 100644
index 5a3a588..0000000
--- a/tests/test_signing_kat.cpp
+++ /dev/null
@@ -1,311 +0,0 @@
-#include "ml_dsa/ml_dsa_44.hpp"
-#include "ml_dsa/ml_dsa_65.hpp"
-#include "ml_dsa/ml_dsa_87.hpp"
-#include <charconv>
-#include <cstdint>
-#include <fstream>
-#include <gtest/gtest.h>
-#include <string>
-#include <string_view>
-#include <vector>
-
-using namespace std::literals;
-
-// Given a hex encoded string of length 2*L, this routine can be used for parsing it as a byte array of length L.
-static inline std::vector<uint8_t>
-from_hex(std::string_view hex)
-{
-  const size_t hlen = hex.length();
-  assert(hlen % 2 == 0);
-
-  const size_t blen = hlen / 2;
-  std::vector<uint8_t> res(blen, 0);
-
-  for (size_t i = 0; i < blen; i++) {
-    const size_t off = i * 2;
-
-    uint8_t byte = 0;
-    auto sstr = hex.substr(off, 2);
-    std::from_chars(sstr.data(), sstr.data() + 2, byte, 16);
-
-    res[i] = byte;
-  }
-
-  return res;
-}
-
-// Use Dilithium2 known answer tests to ensure functional correctness and
-// compatibility of this Dilithium library implementation with the specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
-TEST(Dilithium, Dilithium2KnownAnswerTests)
-{
-  const std::string kat_file = "./kats/ml_dsa_44.kat";
-  std::fstream file(kat_file);
-
-  while (true) {
-    std::string seed0;
-
-    if (!std::getline(file, seed0).eof()) {
-      auto seed1 = std::string_view(seed0);
-      auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
-      auto seed = from_hex(seed2);
-      auto _seed = std::span<uint8_t, 32>(seed); // 32 -bytes seed
-
-      std::string pkey0;
-      std::getline(file, pkey0);
-
-      auto pkey1 = std::string_view(pkey0);
-      auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
-      auto pkey = from_hex(pkey2); // Expected public key
-
-      std::string skey0;
-      std::getline(file, skey0);
-
-      auto skey1 = std::string_view(skey0);
-      auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
-      auto skey = from_hex(skey2); // Expected secret key
-
-      std::string mlen0;
-      std::getline(file, mlen0);
-      size_t mlen = 0; // Message byte length
-
-      auto mlen1 = std::string_view(mlen0);
-      auto mlen2 = mlen1.substr(mlen1.find("="sv) + 2, mlen1.size());
-      std::from_chars(mlen2.data(), mlen2.data() + mlen2.size(), mlen);
-
-      std::string msg0;
-      std::getline(file, msg0);
-
-      auto msg1 = std::string_view(msg0);
-      auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
-      auto msg = from_hex(msg2);
-      auto _msg = std::span(msg); // Message to be signed
-
-      std::string rnd0;
-      std::getline(file, rnd0);
-
-      auto rnd1 = std::string_view(rnd0);
-      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
-      auto rnd = from_hex(rnd2);
-      auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
-
-      std::string sig0;
-      std::getline(file, sig0);
-
-      auto sig1 = std::string_view(sig0);
-      auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
-      auto sig = from_hex(sig2); // Expected signature
-
-      std::vector<uint8_t> _pkey(ml_dsa_44::PubKeyByteLen, 0);
-      std::vector<uint8_t> _skey(ml_dsa_44::SecKeyByteLen, 0);
-      std::vector<uint8_t> _sig(ml_dsa_44::SigByteLen, 0);
-
-      auto __pkey = std::span<uint8_t, ml_dsa_44::PubKeyByteLen>(_pkey); // Computed public key
-      auto __skey = std::span<uint8_t, ml_dsa_44::SecKeyByteLen>(_skey); // Computed secret key
-      auto __sig = std::span<uint8_t, ml_dsa_44::SigByteLen>(_sig);      // Computed signature
-
-      // Keygen -> Sign -> Verify
-      ml_dsa_44::keygen(_seed, __pkey, __skey);
-      ml_dsa_44::sign(_rnd, __skey, _msg, __sig);
-      const auto f = ml_dsa_44::verify(__pkey, _msg, __sig);
-
-      // Check if computed public key, secret key and signature matches expected
-      // ones, from KAT file.
-      EXPECT_EQ(pkey, _pkey);
-      EXPECT_EQ(skey, _skey);
-      EXPECT_EQ(sig, _sig);
-      EXPECT_TRUE(f);
-
-      std::string empty_line;
-      std::getline(file, empty_line);
-    } else {
-      break;
-    }
-  }
-
-  file.close();
-}
-
-// Use Dilithium3 known answer tests to ensure functional correctness and
-// compatibility of this Dilithium library implementation with the specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
-TEST(Dilithium, Dilithium3KnownAnswerTests)
-{
-  const std::string kat_file = "./kats/ml_dsa_65.kat";
-  std::fstream file(kat_file);
-
-  while (true) {
-    std::string seed0;
-
-    if (!std::getline(file, seed0).eof()) {
-      auto seed1 = std::string_view(seed0);
-      auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
-      auto seed = from_hex(seed2);
-      auto _seed = std::span<uint8_t, 32>(seed); // 32 -bytes seed
-
-      std::string pkey0;
-      std::getline(file, pkey0);
-
-      auto pkey1 = std::string_view(pkey0);
-      auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
-      auto pkey = from_hex(pkey2); // Expected public key
-
-      std::string skey0;
-      std::getline(file, skey0);
-
-      auto skey1 = std::string_view(skey0);
-      auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
-      auto skey = from_hex(skey2); // Expected secret key
-
-      std::string mlen0;
-      std::getline(file, mlen0);
-      size_t mlen = 0; // Message byte length
-
-      auto mlen1 = std::string_view(mlen0);
-      auto mlen2 = mlen1.substr(mlen1.find("="sv) + 2, mlen1.size());
-      std::from_chars(mlen2.data(), mlen2.data() + mlen2.size(), mlen);
-
-      std::string msg0;
-      std::getline(file, msg0);
-
-      auto msg1 = std::string_view(msg0);
-      auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
-      auto msg = from_hex(msg2);
-      auto _msg = std::span(msg); // Message to be signed
-
-      std::string rnd0;
-      std::getline(file, rnd0);
-
-      auto rnd1 = std::string_view(rnd0);
-      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
-      auto rnd = from_hex(rnd2);
-      auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
-
-      std::string sig0;
-      std::getline(file, sig0);
-
-      auto sig1 = std::string_view(sig0);
-      auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
-      auto sig = from_hex(sig2); // Expected signature
-
-      std::vector<uint8_t> _pkey(ml_dsa_65::PubKeyByteLen, 0);
-      std::vector<uint8_t> _skey(ml_dsa_65::SecKeyByteLen, 0);
-      std::vector<uint8_t> _sig(ml_dsa_65::SigByteLen, 0);
-
-      auto __pkey = std::span<uint8_t, ml_dsa_65::PubKeyByteLen>(_pkey); // Computed public key
-      auto __skey = std::span<uint8_t, ml_dsa_65::SecKeyByteLen>(_skey); // Computed secret key
-      auto __sig = std::span<uint8_t, ml_dsa_65::SigByteLen>(_sig);      // Computed signature
-
-      // Keygen -> Sign -> Verify
-      ml_dsa_65::keygen(_seed, __pkey, __skey);
-      ml_dsa_65::sign(_rnd, __skey, _msg, __sig);
-      const auto f = ml_dsa_65::verify(__pkey, _msg, __sig);
-
-      // Check if computed public key, secret key and signature matches expected
-      // ones, from KAT file.
-      EXPECT_EQ(pkey, _pkey);
-      EXPECT_EQ(skey, _skey);
-      EXPECT_EQ(sig, _sig);
-      EXPECT_TRUE(f);
-
-      std::string empty_line;
-      std::getline(file, empty_line);
-    } else {
-      break;
-    }
-  }
-
-  file.close();
-}
-
-// Use Dilithium5 known answer tests to ensure functional correctness and
-// compatibility of this Dilithium library implementation with the specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf.
-TEST(Dilithium, Dilithium5KnownAnswerTests)
-{
-  const std::string kat_file = "./kats/ml_dsa_87.kat";
-  std::fstream file(kat_file);
-
-  while (true) {
-    std::string seed0;
-
-    if (!std::getline(file, seed0).eof()) {
-      auto seed1 = std::string_view(seed0);
-      auto seed2 = seed1.substr(seed1.find("="sv) + 2, seed1.size());
-      auto seed = from_hex(seed2);
-      auto _seed = std::span<uint8_t, 32>(seed); // 32 -bytes seed
-
-      std::string pkey0;
-      std::getline(file, pkey0);
-
-      auto pkey1 = std::string_view(pkey0);
-      auto pkey2 = pkey1.substr(pkey1.find("="sv) + 2, pkey1.size());
-      auto pkey = from_hex(pkey2); // Expected public key
-
-      std::string skey0;
-      std::getline(file, skey0);
-
-      auto skey1 = std::string_view(skey0);
-      auto skey2 = skey1.substr(skey1.find("="sv) + 2, skey1.size());
-      auto skey = from_hex(skey2); // Expected secret key
-
-      std::string mlen0;
-      std::getline(file, mlen0);
-      size_t mlen = 0; // Message byte length
-
-      auto mlen1 = std::string_view(mlen0);
-      auto mlen2 = mlen1.substr(mlen1.find("="sv) + 2, mlen1.size());
-      std::from_chars(mlen2.data(), mlen2.data() + mlen2.size(), mlen);
-
-      std::string msg0;
-      std::getline(file, msg0);
-
-      auto msg1 = std::string_view(msg0);
-      auto msg2 = msg1.substr(msg1.find("="sv) + 2, msg1.size());
-      auto msg = from_hex(msg2);
-      auto _msg = std::span(msg); // Message to be signed
-
-      std::string rnd0;
-      std::getline(file, rnd0);
-
-      auto rnd1 = std::string_view(rnd0);
-      auto rnd2 = rnd1.substr(rnd1.find("="sv) + 2, rnd1.size());
-      auto rnd = from_hex(rnd2);
-      auto _rnd = std::span<uint8_t, 32>(rnd); // Randomness for "randomized" message signing
-
-      std::string sig0;
-      std::getline(file, sig0);
-
-      auto sig1 = std::string_view(sig0);
-      auto sig2 = sig1.substr(sig1.find("="sv) + 2, sig1.size());
-      auto sig = from_hex(sig2); // Expected signature
-
-      std::vector<uint8_t> _pkey(ml_dsa_87::PubKeyByteLen, 0);
-      std::vector<uint8_t> _skey(ml_dsa_87::SecKeyByteLen, 0);
-      std::vector<uint8_t> _sig(ml_dsa_87::SigByteLen, 0);
-
-      auto __pkey = std::span<uint8_t, ml_dsa_87::PubKeyByteLen>(_pkey); // Computed public key
-      auto __skey = std::span<uint8_t, ml_dsa_87::SecKeyByteLen>(_skey); // Computed secret key
-      auto __sig = std::span<uint8_t, ml_dsa_87::SigByteLen>(_sig);      // Computed signature
-
-      // Keygen -> Sign -> Verify
-      ml_dsa_87::keygen(_seed, __pkey, __skey);
-      ml_dsa_87::sign(_rnd, __skey, _msg, __sig);
-      const auto f = ml_dsa_87::verify(__pkey, _msg, __sig);
-
-      // Check if computed public key, secret key and signature matches expected
-      // ones, from KAT file.
-      EXPECT_EQ(pkey, _pkey);
-      EXPECT_EQ(skey, _skey);
-      EXPECT_EQ(sig, _sig);
-      EXPECT_TRUE(f);
-
-      std::string empty_line;
-      std::getline(file, empty_line);
-    } else {
-      break;
-    }
-  }
-
-  file.close();
-}

From 5ebbe13d9931840dddd58f62840b769f23a3881f Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 21:12:58 +0400
Subject: [PATCH 29/37] Refactor ML-DSA property-based tests - split them into
 different translation units

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_ml_dsa_44_prop.cpp |  59 +++++++++
 tests/test_ml_dsa_65_prop.cpp |  59 +++++++++
 tests/test_ml_dsa_87_prop.cpp |  59 +++++++++
 tests/test_signing.cpp        | 243 ----------------------------------
 4 files changed, 177 insertions(+), 243 deletions(-)
 create mode 100644 tests/test_ml_dsa_44_prop.cpp
 create mode 100644 tests/test_ml_dsa_65_prop.cpp
 create mode 100644 tests/test_ml_dsa_87_prop.cpp
 delete mode 100644 tests/test_signing.cpp

diff --git a/tests/test_ml_dsa_44_prop.cpp b/tests/test_ml_dsa_44_prop.cpp
new file mode 100644
index 0000000..0a61954
--- /dev/null
+++ b/tests/test_ml_dsa_44_prop.cpp
@@ -0,0 +1,59 @@
+#include "ml_dsa/ml_dsa_44.hpp"
+#include "test_helper.hpp"
+#include <cassert>
+#include <gtest/gtest.h>
+
+// Test functional correctness of ML-DSA-44 signature scheme, by
+//
+// - Generating random key pair.
+// - Signing random message ( of mlen -bytes ).
+// - Finally attempting to verify using respective public key.
+//
+// In case when signature is not mutated ( the good case ), it should be able to verify successfully.
+// While in the case when random bit flip is introduced in signature/ public key/ message ( the bad case ) verification algorithm must fail.
+inline void
+test_ml_dsa_44_signing(const size_t mlen)
+{
+  assert(mlen > 0);
+
+  std::array<uint8_t, ml_dsa_44::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_44::PubKeyByteLen> pkey{};
+  std::array<uint8_t, ml_dsa_44::PubKeyByteLen> pkey_copy{};
+  std::array<uint8_t, ml_dsa_44::SecKeyByteLen> skey{};
+  std::array<uint8_t, ml_dsa_44::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_44::SigByteLen> sig{};
+  std::array<uint8_t, ml_dsa_44::SigByteLen> sig_copy{};
+
+  std::vector<uint8_t> msg(mlen, 0);
+  std::vector<uint8_t> msg_copy(mlen, 0);
+  auto msg_span = std::span(msg);
+  auto msg_copy_span = std::span(msg_copy);
+
+  ml_dsa_prng::prng_t<128> prng;
+  prng.read(seed);
+  prng.read(msg_span);
+  prng.read(rnd);
+
+  ml_dsa_44::keygen(seed, pkey, skey);       // Generate a valid ML-DSA-44 keypair
+  ml_dsa_44::sign(rnd, skey, msg_span, sig); // Sign a random message with ML-DSA-44 secret ket
+
+  std::copy(sig.begin(), sig.end(), sig_copy.begin());
+  std::copy(pkey.begin(), pkey.end(), pkey_copy.begin());
+  std::copy(msg_span.begin(), msg_span.end(), msg_copy_span.begin());
+
+  ml_dsa_test_helper::random_bit_flip(sig_copy);
+  ml_dsa_test_helper::random_bit_flip(pkey_copy);
+  ml_dsa_test_helper::random_bit_flip(msg_copy_span);
+
+  EXPECT_TRUE(ml_dsa_44::verify(pkey, msg_span, sig));       // pkey is good, msg is good, sig is good
+  EXPECT_FALSE(ml_dsa_44::verify(pkey, msg_span, sig_copy)); // pkey is good, msg is good, sig is bad
+  EXPECT_FALSE(ml_dsa_44::verify(pkey_copy, msg, sig));      // pkey is bad, msg is good, sig is good
+  EXPECT_FALSE(ml_dsa_44::verify(pkey, msg_copy, sig));      // pkey is good, msg is bad, sig is good
+}
+
+TEST(ML_DSA, ML_DSA_44_KeygenSignVerifyFlow)
+{
+  for (size_t mlen = 1; mlen < 33; mlen++) {
+    test_ml_dsa_44_signing(mlen);
+  }
+}
diff --git a/tests/test_ml_dsa_65_prop.cpp b/tests/test_ml_dsa_65_prop.cpp
new file mode 100644
index 0000000..dfc2865
--- /dev/null
+++ b/tests/test_ml_dsa_65_prop.cpp
@@ -0,0 +1,59 @@
+#include "ml_dsa/ml_dsa_65.hpp"
+#include "test_helper.hpp"
+#include <cassert>
+#include <gtest/gtest.h>
+
+// Test functional correctness of ML-DSA-65 signature scheme, by
+//
+// - Generating random key pair.
+// - Signing random message ( of mlen -bytes ).
+// - Finally attempting to verify using respective public key.
+//
+// In case when signature is not mutated ( the good case ), it should be able to verify successfully.
+// While in the case when random bit flip is introduced in signature/ public key/ message ( the bad case ) verification algorithm must fail.
+inline void
+test_ml_dsa_65_signing(const size_t mlen)
+{
+  assert(mlen > 0);
+
+  std::array<uint8_t, ml_dsa_65::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_65::PubKeyByteLen> pkey{};
+  std::array<uint8_t, ml_dsa_65::PubKeyByteLen> pkey_copy{};
+  std::array<uint8_t, ml_dsa_65::SecKeyByteLen> skey{};
+  std::array<uint8_t, ml_dsa_65::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_65::SigByteLen> sig{};
+  std::array<uint8_t, ml_dsa_65::SigByteLen> sig_copy{};
+
+  std::vector<uint8_t> msg(mlen, 0);
+  std::vector<uint8_t> msg_copy(mlen, 0);
+  auto msg_span = std::span(msg);
+  auto msg_copy_span = std::span(msg_copy);
+
+  ml_dsa_prng::prng_t<128> prng;
+  prng.read(seed);
+  prng.read(msg_span);
+  prng.read(rnd);
+
+  ml_dsa_65::keygen(seed, pkey, skey);       // Generate a valid ML-DSA-65 keypair
+  ml_dsa_65::sign(rnd, skey, msg_span, sig); // Sign a random message with ML-DSA-65 secret ket
+
+  std::copy(sig.begin(), sig.end(), sig_copy.begin());
+  std::copy(pkey.begin(), pkey.end(), pkey_copy.begin());
+  std::copy(msg_span.begin(), msg_span.end(), msg_copy_span.begin());
+
+  ml_dsa_test_helper::random_bit_flip(sig_copy);
+  ml_dsa_test_helper::random_bit_flip(pkey_copy);
+  ml_dsa_test_helper::random_bit_flip(msg_copy_span);
+
+  EXPECT_TRUE(ml_dsa_65::verify(pkey, msg_span, sig));       // pkey is good, msg is good, sig is good
+  EXPECT_FALSE(ml_dsa_65::verify(pkey, msg_span, sig_copy)); // pkey is good, msg is good, sig is bad
+  EXPECT_FALSE(ml_dsa_65::verify(pkey_copy, msg, sig));      // pkey is bad, msg is good, sig is good
+  EXPECT_FALSE(ml_dsa_65::verify(pkey, msg_copy, sig));      // pkey is good, msg is bad, sig is good
+}
+
+TEST(ML_DSA, ML_DSA_65_KeygenSignVerifyFlow)
+{
+  for (size_t mlen = 1; mlen < 33; mlen++) {
+    test_ml_dsa_65_signing(mlen);
+  }
+}
diff --git a/tests/test_ml_dsa_87_prop.cpp b/tests/test_ml_dsa_87_prop.cpp
new file mode 100644
index 0000000..f990ed9
--- /dev/null
+++ b/tests/test_ml_dsa_87_prop.cpp
@@ -0,0 +1,59 @@
+#include "ml_dsa/ml_dsa_87.hpp"
+#include "test_helper.hpp"
+#include <cassert>
+#include <gtest/gtest.h>
+
+// Test functional correctness of ML-DSA-87 signature scheme, by
+//
+// - Generating random key pair.
+// - Signing random message ( of mlen -bytes ).
+// - Finally attempting to verify using respective public key.
+//
+// In case when signature is not mutated ( the good case ), it should be able to verify successfully.
+// While in the case when random bit flip is introduced in signature/ public key/ message ( the bad case ) verification algorithm must fail.
+inline void
+test_ml_dsa_87_signing(const size_t mlen)
+{
+  assert(mlen > 0);
+
+  std::array<uint8_t, ml_dsa_87::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_87::PubKeyByteLen> pkey{};
+  std::array<uint8_t, ml_dsa_87::PubKeyByteLen> pkey_copy{};
+  std::array<uint8_t, ml_dsa_87::SecKeyByteLen> skey{};
+  std::array<uint8_t, ml_dsa_87::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_87::SigByteLen> sig{};
+  std::array<uint8_t, ml_dsa_87::SigByteLen> sig_copy{};
+
+  std::vector<uint8_t> msg(mlen, 0);
+  std::vector<uint8_t> msg_copy(mlen, 0);
+  auto msg_span = std::span(msg);
+  auto msg_copy_span = std::span(msg_copy);
+
+  ml_dsa_prng::prng_t<128> prng;
+  prng.read(seed);
+  prng.read(msg_span);
+  prng.read(rnd);
+
+  ml_dsa_87::keygen(seed, pkey, skey);       // Generate a valid ML-DSA-87 keypair
+  ml_dsa_87::sign(rnd, skey, msg_span, sig); // Sign a random message with ML-DSA-87 secret ket
+
+  std::copy(sig.begin(), sig.end(), sig_copy.begin());
+  std::copy(pkey.begin(), pkey.end(), pkey_copy.begin());
+  std::copy(msg_span.begin(), msg_span.end(), msg_copy_span.begin());
+
+  ml_dsa_test_helper::random_bit_flip(sig_copy);
+  ml_dsa_test_helper::random_bit_flip(pkey_copy);
+  ml_dsa_test_helper::random_bit_flip(msg_copy_span);
+
+  EXPECT_TRUE(ml_dsa_87::verify(pkey, msg_span, sig));       // pkey is good, msg is good, sig is good
+  EXPECT_FALSE(ml_dsa_87::verify(pkey, msg_span, sig_copy)); // pkey is good, msg is good, sig is bad
+  EXPECT_FALSE(ml_dsa_87::verify(pkey_copy, msg, sig));      // pkey is bad, msg is good, sig is good
+  EXPECT_FALSE(ml_dsa_87::verify(pkey, msg_copy, sig));      // pkey is good, msg is bad, sig is good
+}
+
+TEST(ML_DSA, ML_DSA_87_KeygenSignVerifyFlow)
+{
+  for (size_t mlen = 1; mlen < 33; mlen++) {
+    test_ml_dsa_87_signing(mlen);
+  }
+}
diff --git a/tests/test_signing.cpp b/tests/test_signing.cpp
deleted file mode 100644
index ae695e8..0000000
--- a/tests/test_signing.cpp
+++ /dev/null
@@ -1,243 +0,0 @@
-#include "ml_dsa/ml_dsa_44.hpp"
-#include "ml_dsa/ml_dsa_65.hpp"
-#include "ml_dsa/ml_dsa_87.hpp"
-#include <gtest/gtest.h>
-
-// Given a byte array, this routine randomly selects a bit and flips it. This
-// routine is used for generating faulty data during testing.
-//
-// Collects inspiration from
-// https://github.com/itzmeanjan/gift-cofb/blob/0bd9baa/wrapper/python/test_gift_cofb.py#L79-L101
-static inline void
-random_bit_flip(std::span<uint8_t> arr)
-{
-  std::random_device rd;
-  std::mt19937_64 gen(rd());
-  std::uniform_int_distribution<size_t> dis{ 0, arr.size() - 1 };
-
-  const size_t idx = dis(gen);
-  const size_t bidx = dis(gen) & 7ul;
-
-  const uint8_t mask0 = 0xff << (bidx + 1);
-  const uint8_t mask1 = 0xff >> (8 - bidx);
-  const uint8_t mask2 = 1 << bidx;
-
-  const uint8_t msb = arr[idx] & mask0;
-  const uint8_t lsb = arr[idx] & mask1;
-  const uint8_t bit = (arr[idx] & mask2) >> bidx;
-
-  arr[idx] = msb | ((1 - bit) << bidx) | lsb;
-}
-
-// Test functional correctness of Dilithium signature scheme for parameters
-// providing security equivalent to NIST security level 2, by generating random
-// key pair, signing random message ( of mlen -bytes ) and finally attempting to
-// verify using respective public key.
-//
-// In case when signature is not mutated ( the good case ), it should be able to
-// verify successfully, while in the case when random bit flip is introduced
-// in signature/ public key/ message ( the bad case ) verification algorithm
-// must fail.
-inline void
-test_dilithium2_signing(const size_t mlen)
-{
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_44::PubKeyByteLen;
-  constexpr size_t sklen = ml_dsa_44::SecKeyByteLen;
-  constexpr size_t siglen = ml_dsa_44::SigByteLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> rnd(slen, 0);
-  std::vector<uint8_t> pkey0(pklen, 0);
-  std::vector<uint8_t> pkey1(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig0(siglen, 0);
-  std::vector<uint8_t> sig1(siglen, 0);
-  std::vector<uint8_t> msg0(mlen, 0);
-  std::vector<uint8_t> msg1(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _rnd = std::span<uint8_t, slen>(rnd);
-  auto _pkey0 = std::span<uint8_t, pklen>(pkey0);
-  auto _pkey1 = std::span<uint8_t, pklen>(pkey1);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig0 = std::span<uint8_t, siglen>(sig0);
-  auto _sig1 = std::span<uint8_t, siglen>(sig1);
-  auto _msg0 = std::span(msg0);
-  auto _msg1 = std::span(msg1);
-
-  ml_dsa_prng::prng_t<128> prng;
-
-  prng.read(_seed);
-  prng.read(_msg0);
-  prng.read(_rnd);
-
-  bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
-
-  ml_dsa_44::keygen(_seed, _pkey0, _skey);
-  ml_dsa_44::sign(_rnd, _skey, _msg0, _sig0);
-
-  std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
-  std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
-  std::copy(_msg0.begin(), _msg0.end(), _msg1.begin());
-
-  random_bit_flip(_sig1);
-  random_bit_flip(_pkey1);
-  random_bit_flip(_msg1);
-
-  flg0 = ml_dsa_44::verify(_pkey0, _msg0, _sig0);
-  flg1 = ml_dsa_44::verify(_pkey0, _msg0, _sig1);
-  flg2 = ml_dsa_44::verify(_pkey1, _msg0, _sig0);
-  flg3 = ml_dsa_44::verify(_pkey0, _msg1, _sig0);
-
-  EXPECT_TRUE(flg0 & !flg1 & !flg2 & !flg3);
-}
-
-TEST(Dilithium, Dilithium2KeygenSignVerifyFlow)
-{
-  for (size_t mlen = 1; mlen < 33; mlen++) {
-    test_dilithium2_signing(mlen);
-  }
-}
-
-// Test functional correctness of Dilithium signature scheme for parameters
-// providing security equivalent to NIST security level 3, by generating random
-// key pair, signing random message ( of mlen -bytes ) and finally attempting to
-// verify using respective public key.
-//
-// In case when signature is not mutated ( the good case ), it should be able to
-// verify successfully, while in the case when random bit flip is introduced
-// in signature/ public key/ message ( the bad case ) verification algorithm
-// must fail.
-inline void
-test_dilithium3_signing(const size_t mlen)
-{
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_65::PubKeyByteLen;
-  constexpr size_t sklen = ml_dsa_65::SecKeyByteLen;
-  constexpr size_t siglen = ml_dsa_65::SigByteLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> rnd(slen, 0);
-  std::vector<uint8_t> pkey0(pklen, 0);
-  std::vector<uint8_t> pkey1(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig0(siglen, 0);
-  std::vector<uint8_t> sig1(siglen, 0);
-  std::vector<uint8_t> msg0(mlen, 0);
-  std::vector<uint8_t> msg1(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _rnd = std::span<uint8_t, slen>(rnd);
-  auto _pkey0 = std::span<uint8_t, pklen>(pkey0);
-  auto _pkey1 = std::span<uint8_t, pklen>(pkey1);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig0 = std::span<uint8_t, siglen>(sig0);
-  auto _sig1 = std::span<uint8_t, siglen>(sig1);
-  auto _msg0 = std::span(msg0);
-  auto _msg1 = std::span(msg1);
-
-  ml_dsa_prng::prng_t<192> prng;
-
-  prng.read(_seed);
-  prng.read(_msg0);
-  prng.read(_rnd);
-
-  bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
-
-  ml_dsa_65::keygen(_seed, _pkey0, _skey);
-  ml_dsa_65::sign(_rnd, _skey, _msg0, _sig0);
-
-  std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
-  std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
-  std::copy(_msg0.begin(), _msg0.end(), _msg1.begin());
-
-  random_bit_flip(_sig1);
-  random_bit_flip(_pkey1);
-  random_bit_flip(_msg1);
-
-  flg0 = ml_dsa_65::verify(_pkey0, _msg0, _sig0);
-  flg1 = ml_dsa_65::verify(_pkey0, _msg0, _sig1);
-  flg2 = ml_dsa_65::verify(_pkey1, _msg0, _sig0);
-  flg3 = ml_dsa_65::verify(_pkey0, _msg1, _sig0);
-
-  EXPECT_TRUE(flg0 & !flg1 & !flg2 & !flg3);
-}
-
-TEST(Dilithium, Dilithium3KeygenSignVerifyFlow)
-{
-  for (size_t mlen = 1; mlen < 33; mlen++) {
-    test_dilithium3_signing(mlen);
-  }
-}
-
-// Test functional correctness of Dilithium signature scheme for parameters
-// providing security equivalent to NIST security level 5, by generating random
-// key pair, signing random message ( of mlen -bytes ) and finally attempting to
-// verify using respective public key.
-//
-// In case when signature is not mutated ( the good case ), it should be able to
-// verify successfully, while in the case when random bit flip is introduced
-// in signature/ public key/ message ( the bad case ) verification algorithm
-// must fail.
-inline void
-test_dilithium5_signing(const size_t mlen)
-{
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_87::PubKeyByteLen;
-  constexpr size_t sklen = ml_dsa_87::SecKeyByteLen;
-  constexpr size_t siglen = ml_dsa_87::SigByteLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> rnd(slen, 0);
-  std::vector<uint8_t> pkey0(pklen, 0);
-  std::vector<uint8_t> pkey1(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig0(siglen, 0);
-  std::vector<uint8_t> sig1(siglen, 0);
-  std::vector<uint8_t> msg0(mlen, 0);
-  std::vector<uint8_t> msg1(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _rnd = std::span<uint8_t, slen>(rnd);
-  auto _pkey0 = std::span<uint8_t, pklen>(pkey0);
-  auto _pkey1 = std::span<uint8_t, pklen>(pkey1);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig0 = std::span<uint8_t, siglen>(sig0);
-  auto _sig1 = std::span<uint8_t, siglen>(sig1);
-  auto _msg0 = std::span(msg0);
-  auto _msg1 = std::span(msg1);
-
-  ml_dsa_prng::prng_t<256> prng;
-
-  prng.read(_seed);
-  prng.read(_msg0);
-  prng.read(_rnd);
-
-  bool flg0 = false, flg1 = false, flg2 = false, flg3 = false;
-
-  ml_dsa_87::keygen(_seed, _pkey0, _skey);
-  ml_dsa_87::sign(_rnd, _skey, _msg0, _sig0);
-
-  std::copy(_sig0.begin(), _sig0.end(), _sig1.begin());
-  std::copy(_pkey0.begin(), _pkey0.end(), _pkey1.begin());
-  std::copy(_msg0.begin(), _msg0.end(), _msg1.begin());
-
-  random_bit_flip(_sig1);
-  random_bit_flip(_pkey1);
-  random_bit_flip(_msg1);
-
-  flg0 = ml_dsa_87::verify(_pkey0, _msg0, _sig0);
-  flg1 = ml_dsa_87::verify(_pkey0, _msg0, _sig1);
-  flg2 = ml_dsa_87::verify(_pkey1, _msg0, _sig0);
-  flg3 = ml_dsa_87::verify(_pkey0, _msg1, _sig0);
-
-  EXPECT_TRUE(flg0 & !flg1 & !flg2 & !flg3);
-}
-
-TEST(Dilithium, Dilithium5KeygenSignVerifyFlow)
-{
-  for (size_t mlen = 1; mlen < 33; mlen++) {
-    test_dilithium5_signing(mlen);
-  }
-}

From e8f873965a212a7537c1d6eba278549fa6986587 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 21:15:20 +0400
Subject: [PATCH 30/37] Refactor tests ensuring correctness of internal
 functions

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_bit_packing.cpp | 85 ++++++++++++++------------------------
 tests/test_field.cpp       | 17 ++++----
 tests/test_reduction.cpp   | 34 +++++++--------
 tests/test_sampling.cpp    | 21 +++-------
 4 files changed, 62 insertions(+), 95 deletions(-)

diff --git a/tests/test_bit_packing.cpp b/tests/test_bit_packing.cpp
index 3e71a64..d1931f6 100644
--- a/tests/test_bit_packing.cpp
+++ b/tests/test_bit_packing.cpp
@@ -1,48 +1,37 @@
-#include "ml_dsa/internals/math/field.hpp"
 #include "ml_dsa/internals/poly/bit_packing.hpp"
 #include <gtest/gtest.h>
-#include <vector>
 
 // Check for functional correctness of
 //
 // - polynomial to byte array encoding
 // - decoding of polynomial from byte array
 template<size_t sbw>
-void
+static void
 test_encode_decode()
   requires(ml_dsa_params::check_sbw(sbw))
 {
-  // Encoded byte length of the polynomial
-  constexpr size_t enc_len = (sbw * ml_dsa_ntt::N) / 8;
-
-  std::vector<ml_dsa_field::zq_t> polya(ml_dsa_ntt::N, 0);
-  std::vector<ml_dsa_field::zq_t> polyb(ml_dsa_ntt::N, 0);
-  std::vector<uint8_t> arr(enc_len, 0);
+  constexpr size_t poly_byte_len = (sbw * ml_dsa_ntt::N) / 8;
+  constexpr size_t mask = (1u << sbw) - 1u;
 
-  auto _polya = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>(polya);
-  auto _polyb = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>(polyb);
-  auto _arr = std::span<uint8_t, enc_len>(arr);
+  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> polya{};
+  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> polyb{};
+  std::array<uint8_t, poly_byte_len> poly_bytes{};
 
   ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < ml_dsa_ntt::N; i++) {
-    _polya[i] = ml_dsa_field::zq_t::random(prng);
+    polya[i] = ml_dsa_field::zq_t::random(prng);
   }
 
-  ml_dsa_bit_packing::encode<sbw>(_polya, _arr);
-  ml_dsa_bit_packing::decode<sbw>(_arr, _polyb);
-
-  constexpr size_t mask = (1u << sbw) - 1u;
-  bool flg = false;
+  ml_dsa_bit_packing::encode<sbw>(polya, poly_bytes);
+  ml_dsa_bit_packing::decode<sbw>(poly_bytes, polyb);
 
   for (size_t i = 0; i < ml_dsa_ntt::N; i++) {
-    flg |= static_cast<bool>((_polya[i].raw() & mask) ^ _polyb[i].raw());
+    EXPECT_EQ(polya[i].raw() & mask, polyb[i].raw());
   }
-
-  EXPECT_FALSE(flg);
 }
 
-TEST(Dilithium, PolynomialEncodingDecoding)
+TEST(ML_DSA, PolynomialEncodingDecoding)
 {
   test_encode_decode<3>();
   test_encode_decode<4>();
@@ -53,10 +42,9 @@ TEST(Dilithium, PolynomialEncodingDecoding)
   test_encode_decode<20>();
 }
 
-// Generates random hint bit polynomial vector of dimension k x 1, with <= ω
-// coefficients set to 1.
+// Generates random hint bit polynomial vector of dimension k x 1, with <= ω coefficients set to 1.
 template<size_t k, size_t ω>
-void
+static void
 generate_random_hint_bits(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly)
 {
   std::fill(poly.begin(), poly.end(), ml_dsa_field::zq_t::zero());
@@ -74,46 +62,37 @@ generate_random_hint_bits(std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> poly)
   }
 }
 
-// Test functional correctness of encoding and decoding of hint bit polynomial
-// vector.
+// Test functional correctness of encoding and decoding of hint bit polynomial vector.
 template<size_t k, size_t ω>
-void
+static void
 test_encode_decode_hint_bits()
 {
-  // Encoded byte length of the hint polynomial
-  constexpr size_t enc_len = ω + k;
-
-  std::vector<ml_dsa_field::zq_t> h0(k * ml_dsa_ntt::N, 0);
-  std::vector<ml_dsa_field::zq_t> h1(k * ml_dsa_ntt::N, 0);
-  std::vector<ml_dsa_field::zq_t> h2(k * ml_dsa_ntt::N, 0);
-  std::vector<uint8_t> arr0(enc_len, 0);
-  std::vector<uint8_t> arr1(enc_len, 0);
+  constexpr size_t hint_byte_len = ω + k;
 
-  auto _h0 = std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N>(h0);
-  auto _h1 = std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N>(h1);
-  auto _h2 = std::span<ml_dsa_field::zq_t, k * ml_dsa_ntt::N>(h2);
-  auto _arr0 = std::span<uint8_t, enc_len>(arr0);
-  auto _arr1 = std::span<uint8_t, enc_len>(arr1);
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h0{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h1{};
+  std::array<ml_dsa_field::zq_t, k * ml_dsa_ntt::N> h2{};
 
-  generate_random_hint_bits<k, ω>(_h0);
+  std::array<uint8_t, hint_byte_len> hint_poly_bytes0{};
+  std::array<uint8_t, hint_byte_len> hint_poly_bytes1{};
 
-  ml_dsa_bit_packing::encode_hint_bits<k, ω>(_h0, _arr0);
-  std::copy(_arr0.begin(), _arr0.end(), _arr1.begin());
-  _arr1[enc_len - 1] = ~_arr1[enc_len - 1];
+  generate_random_hint_bits<k, ω>(h0);
 
-  const bool failed0 = ml_dsa_bit_packing::decode_hint_bits<k, ω>(_arr0, _h1);
-  const bool failed1 = ml_dsa_bit_packing::decode_hint_bits<k, ω>(_arr1, _h2);
+  ml_dsa_bit_packing::encode_hint_bits<k, ω>(h0, hint_poly_bytes0);
 
-  bool flg = true;
+  std::copy(hint_poly_bytes0.begin(), hint_poly_bytes0.end(), hint_poly_bytes1.begin());
+  hint_poly_bytes1[hint_byte_len - 1] = ~hint_poly_bytes1[hint_byte_len - 1];
 
-  for (size_t i = 0; i < k * ml_dsa_ntt::N; i++) {
-    flg &= (_h0[i] == _h1[i]);
-  }
+  const bool failed0 = ml_dsa_bit_packing::decode_hint_bits<k, ω>(hint_poly_bytes0, h1);
+  EXPECT_FALSE(failed0);
+  EXPECT_TRUE(std::equal(h0.begin(), h0.end(), h1.begin()));
 
-  EXPECT_TRUE(flg & !failed0 & failed1);
+  const bool failed1 = ml_dsa_bit_packing::decode_hint_bits<k, ω>(hint_poly_bytes1, h2);
+  EXPECT_TRUE(failed1);
+  EXPECT_FALSE(std::equal(h0.begin(), h0.end(), h2.begin()));
 }
 
-TEST(Dilithium, HintBitPolynomialEncodingDecoding)
+TEST(ML_DSA, HintBitPolynomialEncodingDecoding)
 {
   test_encode_decode_hint_bits<4, 80>();
   test_encode_decode_hint_bits<6, 55>();
diff --git a/tests/test_field.cpp b/tests/test_field.cpp
index d715441..7e03f50 100644
--- a/tests/test_field.cpp
+++ b/tests/test_field.cpp
@@ -1,12 +1,13 @@
 #include "ml_dsa/internals/math/field.hpp"
 #include <gtest/gtest.h>
 
-// Test functional correctness of Dilithium prime field operations, by running
-// through fairly large number of rounds of execution of field operations on
-// randomly generated field element.
-TEST(Dilithium, ArithmeticOverZq)
+// Test functional correctness of ML-DSA prime field operations, by running through fairly large number of rounds of
+// execution of field operations on randomly generated field element.
+TEST(ML_DSA, ArithmeticOverZq)
 {
   constexpr size_t itr_cnt = 1ul << 20;
+  constexpr auto zero = ml_dsa_field::zq_t::zero();
+
   ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < itr_cnt; i++) {
@@ -26,16 +27,16 @@ TEST(Dilithium, ArithmeticOverZq)
     const auto g = f / b;
     const auto h = f / a;
 
-    if (b != ml_dsa_field::zq_t()) {
+    if (b != zero) {
       EXPECT_EQ(g, a);
     } else {
-      EXPECT_EQ(g, ml_dsa_field::zq_t());
+      EXPECT_EQ(g, zero);
     }
 
-    if (a != ml_dsa_field::zq_t()) {
+    if (a != zero) {
       EXPECT_EQ(h, b);
     } else {
-      EXPECT_EQ(h, ml_dsa_field::zq_t());
+      EXPECT_EQ(h, zero);
     }
   }
 }
diff --git a/tests/test_reduction.cpp b/tests/test_reduction.cpp
index 16ae2c9..c8e38f5 100644
--- a/tests/test_reduction.cpp
+++ b/tests/test_reduction.cpp
@@ -1,35 +1,31 @@
 #include "ml_dsa/internals/math/reduction.hpp"
 #include <gtest/gtest.h>
+#include <tuple>
 
-// Given a random element ∈ Z_q | q = 2^23 - 2^13 + 1, this routine tests
-// whether extracting high and low order bits & then reconstructing original
-// element using components of smaller bit width, work as expected or not.
-TEST(Dilithium, Power2Round)
+// Given a random element ∈ Z_q, this routine tests whether extracting high and low order bits & then reconstructing
+// original element using components of smaller bit width, work as expected or not.
+TEST(ML_DSA, Power2Round)
 {
   constexpr size_t itr_cnt = 1ul << 16;
 
   constexpr size_t d = 13;
-  constexpr ml_dsa_field::zq_t t0(1u << d);
+  constexpr ml_dsa_field::zq_t two_to_d(1u << d);
 
   ml_dsa_prng::prng_t<256> prng;
 
   for (size_t i = 0; i < itr_cnt; i++) {
     const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
 
-    const auto t1 = ml_dsa_reduction::power2round<d>(r);
-    const ml_dsa_field::zq_t t2 = t1.first * t0 + t1.second;
+    ml_dsa_field::zq_t high, low;
+    std::tie(high, low) = ml_dsa_reduction::power2round<d>(r);
 
-    EXPECT_EQ(r, t2);
+    EXPECT_EQ(r, high * two_to_d + low);
   }
 }
 
-// Given any arbitrary element r ∈ Z_q and a small element z ∈ Z_q | q = 2^23 -
-// 2^13 + 1, this routine tries to test correctness of decompose routine, which
-// is used for computing a hint bit ( say h ) s.t. one doesn't need to store r,
-// z both, but they can still recover high order bits of r + z
-//
-// Read section 2.4 of Dilithium specification
-// https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf
+// Given any arbitrary element r ∈ Z_q and a small element z ∈ Z_q, this routine tries to test correctness of decompose
+// routine, which is used for computing a hint bit ( say h ) s.t. one doesn't need to store r, z both, but they can
+// still recover high order bits of r + z.
 template<uint32_t alpha, uint32_t z, size_t rounds = 65536ul>
 static void
 test_decompose()
@@ -38,18 +34,18 @@ test_decompose()
 
   for (size_t i = 0; i < rounds; i++) {
     const ml_dsa_field::zq_t r = ml_dsa_field::zq_t::random(prng);
-    constexpr ml_dsa_field::zq_t z_{ z };
+    constexpr ml_dsa_field::zq_t elem_z{ z };
 
-    const ml_dsa_field::zq_t h = ml_dsa_reduction::make_hint<alpha>(z_, r);
+    const ml_dsa_field::zq_t h = ml_dsa_reduction::make_hint<alpha>(elem_z, r);
     const ml_dsa_field::zq_t rz = ml_dsa_reduction::use_hint<alpha>(h, r);
 
-    const ml_dsa_field::zq_t rz_ = ml_dsa_reduction::highbits<alpha>(r + z_);
+    const ml_dsa_field::zq_t rz_ = ml_dsa_reduction::highbits<alpha>(r + elem_z);
 
     EXPECT_EQ(rz, rz_);
   }
 }
 
-TEST(Dilithium, MakingAndUsingOfHintBits)
+TEST(ML_DSA, MakingAndUsingOfHintBits)
 {
   test_decompose<((ml_dsa_field::Q - 1u) / 88u) << 1, 77u>();
   test_decompose<((ml_dsa_field::Q - 1u) / 88u) << 1, 1321u>();
diff --git a/tests/test_sampling.cpp b/tests/test_sampling.cpp
index f76c8f2..00f60b1 100644
--- a/tests/test_sampling.cpp
+++ b/tests/test_sampling.cpp
@@ -1,7 +1,6 @@
 #include "ml_dsa/internals/poly/sampling.hpp"
-#include <array>
 #include <gtest/gtest.h>
-#include <vector>
+#include <numeric>
 
 // Check whether hashing to a ball routine works as expected or not.
 template<uint32_t τ>
@@ -9,26 +8,18 @@ static void
 test_sample_in_ball()
 {
   std::array<uint8_t, 32> seed{};
-  std::vector<ml_dsa_field::zq_t> poly(ml_dsa_ntt::N, 0);
-
-  auto _seed = std::span(seed);
-  auto _poly = std::span<ml_dsa_field::zq_t, ml_dsa_ntt::N>(poly);
+  std::array<ml_dsa_field::zq_t, ml_dsa_ntt::N> poly{};
 
   ml_dsa_prng::prng_t<256> prng;
+  prng.read(seed);
 
-  prng.read(_seed);
-  ml_dsa_sampling::sample_in_ball<τ>(_seed, _poly);
-
-  auto sqrd_norm = ml_dsa_field::zq_t::zero();
-
-  for (size_t i = 0; i < _poly.size(); i++) {
-    sqrd_norm += (_poly[i] * _poly[i]);
-  }
+  ml_dsa_sampling::sample_in_ball<τ>(seed, poly);
 
+  auto sqrd_norm = std::accumulate(poly.begin(), poly.end(), ml_dsa_field::zq_t::zero(), [](auto acc, auto cur) -> auto { return acc + (cur * cur); });
   EXPECT_EQ(sqrd_norm, ml_dsa_field::zq_t(τ));
 }
 
-TEST(Dilithium, HashingToABall)
+TEST(ML_DSA, HashingToABall)
 {
   test_sample_in_ball<39u>();
   test_sample_in_ball<49u>();

From 5afa94f09886740cc783090204268258aea8e431 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 21:18:22 +0400
Subject: [PATCH 31/37] Move (and rename test functions) dudect -based
 constant-time tests

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/dudect/{test_dilithium2.cpp => test_ml_dsa_44.cpp} | 4 ++--
 tests/dudect/{test_dilithium3.cpp => test_ml_dsa_65.cpp} | 4 ++--
 tests/dudect/{test_dilithium5.cpp => test_ml_dsa_87.cpp} | 4 ++--
 3 files changed, 6 insertions(+), 6 deletions(-)
 rename tests/dudect/{test_dilithium2.cpp => test_ml_dsa_44.cpp} (98%)
 rename tests/dudect/{test_dilithium3.cpp => test_ml_dsa_65.cpp} (98%)
 rename tests/dudect/{test_dilithium5.cpp => test_ml_dsa_87.cpp} (98%)

diff --git a/tests/dudect/test_dilithium2.cpp b/tests/dudect/test_ml_dsa_44.cpp
similarity index 98%
rename from tests/dudect/test_dilithium2.cpp
rename to tests/dudect/test_ml_dsa_44.cpp
index d9f55ef..b5be5f4 100644
--- a/tests/dudect/test_dilithium2.cpp
+++ b/tests/dudect/test_ml_dsa_44.cpp
@@ -84,7 +84,7 @@ prepare_inputs(dudect_config_t* const c, uint8_t* const input_data, uint8_t* con
 }
 
 dudect_state_t
-test_dilithium2()
+test_ml_dsa_44()
 {
   constexpr size_t chunk_size = 2 * SEED_LEN + 2 + SEED_LEN;
   constexpr size_t number_measurements = 1e5;
@@ -110,7 +110,7 @@ test_dilithium2()
 int
 main()
 {
-  if (test_dilithium2() != DUDECT_NO_LEAKAGE_EVIDENCE_YET) {
+  if (test_ml_dsa_44() != DUDECT_NO_LEAKAGE_EVIDENCE_YET) {
     return EXIT_FAILURE;
   }
 
diff --git a/tests/dudect/test_dilithium3.cpp b/tests/dudect/test_ml_dsa_65.cpp
similarity index 98%
rename from tests/dudect/test_dilithium3.cpp
rename to tests/dudect/test_ml_dsa_65.cpp
index 665f225..71db0d5 100644
--- a/tests/dudect/test_dilithium3.cpp
+++ b/tests/dudect/test_ml_dsa_65.cpp
@@ -84,7 +84,7 @@ prepare_inputs(dudect_config_t* const c, uint8_t* const input_data, uint8_t* con
 }
 
 dudect_state_t
-test_dilithium3()
+test_ml_dsa_65()
 {
   constexpr size_t chunk_size = 2 * SEED_LEN + 2 + SEED_LEN;
   constexpr size_t number_measurements = 1e5;
@@ -110,7 +110,7 @@ test_dilithium3()
 int
 main()
 {
-  if (test_dilithium3() != DUDECT_NO_LEAKAGE_EVIDENCE_YET) {
+  if (test_ml_dsa_65() != DUDECT_NO_LEAKAGE_EVIDENCE_YET) {
     return EXIT_FAILURE;
   }
 
diff --git a/tests/dudect/test_dilithium5.cpp b/tests/dudect/test_ml_dsa_87.cpp
similarity index 98%
rename from tests/dudect/test_dilithium5.cpp
rename to tests/dudect/test_ml_dsa_87.cpp
index 0c4fbe2..44a36e4 100644
--- a/tests/dudect/test_dilithium5.cpp
+++ b/tests/dudect/test_ml_dsa_87.cpp
@@ -84,7 +84,7 @@ prepare_inputs(dudect_config_t* const c, uint8_t* const input_data, uint8_t* con
 }
 
 dudect_state_t
-test_dilithium5()
+test_ml_dsa_87()
 {
   constexpr size_t chunk_size = 2 * SEED_LEN + 2 + SEED_LEN;
   constexpr size_t number_measurements = 1e5;
@@ -110,7 +110,7 @@ test_dilithium5()
 int
 main()
 {
-  if (test_dilithium5() != DUDECT_NO_LEAKAGE_EVIDENCE_YET) {
+  if (test_ml_dsa_87() != DUDECT_NO_LEAKAGE_EVIDENCE_YET) {
     return EXIT_FAILURE;
   }
 

From 1bc2283d01fd615d029ef2b09726ee041f647213 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Mon, 22 Jul 2024 21:19:59 +0400
Subject: [PATCH 32/37] Ensure that test headers also gets formatted properly

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 Makefile | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/Makefile b/Makefile
index 44d89c1..b0dfceb 100644
--- a/Makefile
+++ b/Makefile
@@ -22,6 +22,7 @@ DUDECT_BUILD_DIR = $(BUILD_DIR)/dudect
 TEST_DIR = tests
 DUDECT_TEST_DIR = $(TEST_DIR)/dudect
 TEST_SOURCES := $(wildcard $(TEST_DIR)/*.cpp)
+TEST_HEADERS := $(wildcard $(TEST_DIR)/*.hpp)
 TEST_OBJECTS := $(addprefix $(BUILD_DIR)/, $(notdir $(patsubst %.cpp,%.o,$(TEST_SOURCES))))
 ASAN_TEST_OBJECTS := $(addprefix $(ASAN_BUILD_DIR)/, $(notdir $(patsubst %.cpp,%.o,$(TEST_SOURCES))))
 UBSAN_TEST_OBJECTS := $(addprefix $(UBSAN_BUILD_DIR)/, $(notdir $(patsubst %.cpp,%.o,$(TEST_SOURCES))))
@@ -119,5 +120,5 @@ perf: $(PERF_BINARY)
 clean:
 	rm -rf $(BUILD_DIR)
 
-format: $(ML_DSA_SOURCES) $(TEST_SOURCES) $(DUDECT_TEST_SOURCES) $(BENCHMARK_SOURCES) $(BENCHMARK_HEADERS)
+format: $(ML_DSA_SOURCES) $(TEST_SOURCES) $(TEST_HEADERS) $(DUDECT_TEST_SOURCES) $(BENCHMARK_SOURCES) $(BENCHMARK_HEADERS)
 	clang-format -i $^

From edad601dc0e04c3f458561251be06b0f7b74a866 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Wed, 24 Jul 2024 20:44:02 +0400
Subject: [PATCH 33/37] Use PRNG of correct security level in tests

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 tests/test_ml_dsa_65_prop.cpp | 2 +-
 tests/test_ml_dsa_87_prop.cpp | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/tests/test_ml_dsa_65_prop.cpp b/tests/test_ml_dsa_65_prop.cpp
index dfc2865..c4d24b4 100644
--- a/tests/test_ml_dsa_65_prop.cpp
+++ b/tests/test_ml_dsa_65_prop.cpp
@@ -29,7 +29,7 @@ test_ml_dsa_65_signing(const size_t mlen)
   auto msg_span = std::span(msg);
   auto msg_copy_span = std::span(msg_copy);
 
-  ml_dsa_prng::prng_t<128> prng;
+  ml_dsa_prng::prng_t<192> prng;
   prng.read(seed);
   prng.read(msg_span);
   prng.read(rnd);
diff --git a/tests/test_ml_dsa_87_prop.cpp b/tests/test_ml_dsa_87_prop.cpp
index f990ed9..2bff553 100644
--- a/tests/test_ml_dsa_87_prop.cpp
+++ b/tests/test_ml_dsa_87_prop.cpp
@@ -29,7 +29,7 @@ test_ml_dsa_87_signing(const size_t mlen)
   auto msg_span = std::span(msg);
   auto msg_copy_span = std::span(msg_copy);
 
-  ml_dsa_prng::prng_t<128> prng;
+  ml_dsa_prng::prng_t<256> prng;
   prng.read(seed);
   prng.read(msg_span);
   prng.read(rnd);

From ddfcde04aa2c2c195c00780f5bb8a1afe2f6bb0c Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Wed, 24 Jul 2024 20:53:15 +0400
Subject: [PATCH 34/37] Refactor benchmark harness to conform to new API

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 benchmarks/bench_ml_dsa_44.cpp | 102 +++++++++++++++++++++++++++
 benchmarks/bench_ml_dsa_65.cpp | 102 +++++++++++++++++++++++++++
 benchmarks/bench_ml_dsa_87.cpp | 102 +++++++++++++++++++++++++++
 benchmarks/dilithium2.cpp      | 121 ---------------------------------
 benchmarks/dilithium3.cpp      | 121 ---------------------------------
 benchmarks/dilithium5.cpp      | 121 ---------------------------------
 6 files changed, 306 insertions(+), 363 deletions(-)
 create mode 100644 benchmarks/bench_ml_dsa_44.cpp
 create mode 100644 benchmarks/bench_ml_dsa_65.cpp
 create mode 100644 benchmarks/bench_ml_dsa_87.cpp
 delete mode 100644 benchmarks/dilithium2.cpp
 delete mode 100644 benchmarks/dilithium3.cpp
 delete mode 100644 benchmarks/dilithium5.cpp

diff --git a/benchmarks/bench_ml_dsa_44.cpp b/benchmarks/bench_ml_dsa_44.cpp
new file mode 100644
index 0000000..9ee3573
--- /dev/null
+++ b/benchmarks/bench_ml_dsa_44.cpp
@@ -0,0 +1,102 @@
+#include "bench_helper.hpp"
+#include "ml_dsa/ml_dsa_44.hpp"
+#include <benchmark/benchmark.h>
+
+// Benchmark performance of ML-DSA-44 key generation algorithm.
+void
+ml_dsa_44_keygen(benchmark::State& state)
+{
+  std::array<uint8_t, ml_dsa_44::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_44::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_44::SecKeyByteLen> seckey{};
+
+  ml_dsa_prng::prng_t<128> prng;
+  prng.read(seed);
+
+  for (auto _ : state) {
+    ml_dsa_44::keygen(seed, pubkey, seckey);
+
+    benchmark::DoNotOptimize(seed);
+    benchmark::DoNotOptimize(pubkey);
+    benchmark::DoNotOptimize(seckey);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+}
+
+// Benchmark performance of ML-DSA-44 signing algorithm.
+void
+ml_dsa_44_sign(benchmark::State& state)
+{
+  const size_t mlen = state.range(0);
+
+  std::vector<uint8_t> msg(mlen, 0);
+  auto msg_span = std::span(msg);
+
+  std::array<uint8_t, ml_dsa_44::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_44::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_44::SecKeyByteLen> seckey{};
+  std::array<uint8_t, ml_dsa_44::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_44::SigByteLen> sig{};
+
+  ml_dsa_prng::prng_t<128> prng;
+  prng.read(seed);
+  prng.read(rnd);
+  prng.read(msg_span);
+
+  ml_dsa_44::keygen(seed, pubkey, seckey);
+
+  for (auto _ : state) {
+    ml_dsa_44::sign(rnd, seckey, msg_span, sig);
+
+    benchmark::DoNotOptimize(rnd);
+    benchmark::DoNotOptimize(seckey);
+    benchmark::DoNotOptimize(msg_span);
+    benchmark::DoNotOptimize(sig);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+  assert(ml_dsa_44::verify(pubkey, msg_span, sig));
+}
+
+// Benchmark performance of ML-DSA-44 signature verification algorithm.
+void
+ml_dsa_44_verify(benchmark::State& state)
+{
+  const size_t mlen = state.range(0);
+
+  std::vector<uint8_t> msg(mlen, 0);
+  auto msg_span = std::span(msg);
+
+  std::array<uint8_t, ml_dsa_44::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_44::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_44::SecKeyByteLen> seckey{};
+  std::array<uint8_t, ml_dsa_44::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_44::SigByteLen> sig{};
+
+  ml_dsa_prng::prng_t<128> prng;
+  prng.read(seed);
+  prng.read(rnd);
+  prng.read(msg_span);
+
+  ml_dsa_44::keygen(seed, pubkey, seckey);
+  ml_dsa_44::sign(rnd, seckey, msg_span, sig);
+
+  for (auto _ : state) {
+    bool is_valid = ml_dsa_44::verify(pubkey, msg_span, sig);
+
+    benchmark::DoNotOptimize(is_valid);
+    benchmark::DoNotOptimize(pubkey);
+    benchmark::DoNotOptimize(msg_span);
+    benchmark::DoNotOptimize(sig);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+}
+
+BENCHMARK(ml_dsa_44_keygen)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
+BENCHMARK(ml_dsa_44_sign)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
+BENCHMARK(ml_dsa_44_verify)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
diff --git a/benchmarks/bench_ml_dsa_65.cpp b/benchmarks/bench_ml_dsa_65.cpp
new file mode 100644
index 0000000..bba8be3
--- /dev/null
+++ b/benchmarks/bench_ml_dsa_65.cpp
@@ -0,0 +1,102 @@
+#include "bench_helper.hpp"
+#include "ml_dsa/ml_dsa_65.hpp"
+#include <benchmark/benchmark.h>
+
+// Benchmark performance of ML-DSA-65 key generation algorithm.
+void
+ml_dsa_65_keygen(benchmark::State& state)
+{
+  std::array<uint8_t, ml_dsa_65::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_65::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_65::SecKeyByteLen> seckey{};
+
+  ml_dsa_prng::prng_t<192> prng;
+  prng.read(seed);
+
+  for (auto _ : state) {
+    ml_dsa_65::keygen(seed, pubkey, seckey);
+
+    benchmark::DoNotOptimize(seed);
+    benchmark::DoNotOptimize(pubkey);
+    benchmark::DoNotOptimize(seckey);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+}
+
+// Benchmark performance of ML-DSA-65 signing algorithm.
+void
+ml_dsa_65_sign(benchmark::State& state)
+{
+  const size_t mlen = state.range(0);
+
+  std::vector<uint8_t> msg(mlen, 0);
+  auto msg_span = std::span(msg);
+
+  std::array<uint8_t, ml_dsa_65::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_65::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_65::SecKeyByteLen> seckey{};
+  std::array<uint8_t, ml_dsa_65::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_65::SigByteLen> sig{};
+
+  ml_dsa_prng::prng_t<192> prng;
+  prng.read(seed);
+  prng.read(rnd);
+  prng.read(msg_span);
+
+  ml_dsa_65::keygen(seed, pubkey, seckey);
+
+  for (auto _ : state) {
+    ml_dsa_65::sign(rnd, seckey, msg_span, sig);
+
+    benchmark::DoNotOptimize(rnd);
+    benchmark::DoNotOptimize(seckey);
+    benchmark::DoNotOptimize(msg_span);
+    benchmark::DoNotOptimize(sig);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+  assert(ml_dsa_65::verify(pubkey, msg_span, sig));
+}
+
+// Benchmark performance of ML-DSA-65 signature verification algorithm.
+void
+ml_dsa_65_verify(benchmark::State& state)
+{
+  const size_t mlen = state.range(0);
+
+  std::vector<uint8_t> msg(mlen, 0);
+  auto msg_span = std::span(msg);
+
+  std::array<uint8_t, ml_dsa_65::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_65::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_65::SecKeyByteLen> seckey{};
+  std::array<uint8_t, ml_dsa_65::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_65::SigByteLen> sig{};
+
+  ml_dsa_prng::prng_t<192> prng;
+  prng.read(seed);
+  prng.read(rnd);
+  prng.read(msg_span);
+
+  ml_dsa_65::keygen(seed, pubkey, seckey);
+  ml_dsa_65::sign(rnd, seckey, msg_span, sig);
+
+  for (auto _ : state) {
+    bool is_valid = ml_dsa_65::verify(pubkey, msg_span, sig);
+
+    benchmark::DoNotOptimize(is_valid);
+    benchmark::DoNotOptimize(pubkey);
+    benchmark::DoNotOptimize(msg_span);
+    benchmark::DoNotOptimize(sig);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+}
+
+BENCHMARK(ml_dsa_65_keygen)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
+BENCHMARK(ml_dsa_65_sign)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
+BENCHMARK(ml_dsa_65_verify)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
diff --git a/benchmarks/bench_ml_dsa_87.cpp b/benchmarks/bench_ml_dsa_87.cpp
new file mode 100644
index 0000000..8751387
--- /dev/null
+++ b/benchmarks/bench_ml_dsa_87.cpp
@@ -0,0 +1,102 @@
+#include "bench_helper.hpp"
+#include "ml_dsa/ml_dsa_87.hpp"
+#include <benchmark/benchmark.h>
+
+// Benchmark performance of ML-DSA-87 key generation algorithm.
+void
+ml_dsa_87_keygen(benchmark::State& state)
+{
+  std::array<uint8_t, ml_dsa_87::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_87::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_87::SecKeyByteLen> seckey{};
+
+  ml_dsa_prng::prng_t<256> prng;
+  prng.read(seed);
+
+  for (auto _ : state) {
+    ml_dsa_87::keygen(seed, pubkey, seckey);
+
+    benchmark::DoNotOptimize(seed);
+    benchmark::DoNotOptimize(pubkey);
+    benchmark::DoNotOptimize(seckey);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+}
+
+// Benchmark performance of ML-DSA-87 signing algorithm.
+void
+ml_dsa_87_sign(benchmark::State& state)
+{
+  const size_t mlen = state.range(0);
+
+  std::vector<uint8_t> msg(mlen, 0);
+  auto msg_span = std::span(msg);
+
+  std::array<uint8_t, ml_dsa_87::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_87::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_87::SecKeyByteLen> seckey{};
+  std::array<uint8_t, ml_dsa_87::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_87::SigByteLen> sig{};
+
+  ml_dsa_prng::prng_t<256> prng;
+  prng.read(seed);
+  prng.read(rnd);
+  prng.read(msg_span);
+
+  ml_dsa_87::keygen(seed, pubkey, seckey);
+
+  for (auto _ : state) {
+    ml_dsa_87::sign(rnd, seckey, msg_span, sig);
+
+    benchmark::DoNotOptimize(rnd);
+    benchmark::DoNotOptimize(seckey);
+    benchmark::DoNotOptimize(msg_span);
+    benchmark::DoNotOptimize(sig);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+  assert(ml_dsa_87::verify(pubkey, msg_span, sig));
+}
+
+// Benchmark performance of ML-DSA-87 signature verification algorithm.
+void
+ml_dsa_87_verify(benchmark::State& state)
+{
+  const size_t mlen = state.range(0);
+
+  std::vector<uint8_t> msg(mlen, 0);
+  auto msg_span = std::span(msg);
+
+  std::array<uint8_t, ml_dsa_87::KeygenSeedByteLen> seed{};
+  std::array<uint8_t, ml_dsa_87::PubKeyByteLen> pubkey{};
+  std::array<uint8_t, ml_dsa_87::SecKeyByteLen> seckey{};
+  std::array<uint8_t, ml_dsa_87::SigningSeedByteLen> rnd{};
+  std::array<uint8_t, ml_dsa_87::SigByteLen> sig{};
+
+  ml_dsa_prng::prng_t<256> prng;
+  prng.read(seed);
+  prng.read(rnd);
+  prng.read(msg_span);
+
+  ml_dsa_87::keygen(seed, pubkey, seckey);
+  ml_dsa_87::sign(rnd, seckey, msg_span, sig);
+
+  for (auto _ : state) {
+    bool is_valid = ml_dsa_87::verify(pubkey, msg_span, sig);
+
+    benchmark::DoNotOptimize(is_valid);
+    benchmark::DoNotOptimize(pubkey);
+    benchmark::DoNotOptimize(msg_span);
+    benchmark::DoNotOptimize(sig);
+    benchmark::ClobberMemory();
+  }
+
+  state.SetItemsProcessed(state.iterations());
+}
+
+BENCHMARK(ml_dsa_87_keygen)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
+BENCHMARK(ml_dsa_87_sign)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
+BENCHMARK(ml_dsa_87_verify)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
diff --git a/benchmarks/dilithium2.cpp b/benchmarks/dilithium2.cpp
deleted file mode 100644
index 7dc8d8d..0000000
--- a/benchmarks/dilithium2.cpp
+++ /dev/null
@@ -1,121 +0,0 @@
-#include "bench_helper.hpp"
-#include "ml_dsa/ml_dsa_44.hpp"
-#include <benchmark/benchmark.h>
-
-// Benchmark Dilithium2 key generation algorithm's performance
-inline void
-dilithium2_keygen(benchmark::State& state)
-{
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_44::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_44::SecKeyLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pubkey(pklen, 0);
-  std::vector<uint8_t> seckey(sklen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pubkey = std::span<uint8_t, pklen>(pubkey);
-  auto _seckey = std::span<uint8_t, sklen>(seckey);
-
-  ml_dsa_prng::prng_t<128> prng;
-  prng.read(_seed);
-
-  for (auto _ : state) {
-    ml_dsa_44::keygen(_seed, _pubkey, _seckey);
-
-    benchmark::DoNotOptimize(_seed);
-    benchmark::DoNotOptimize(_pubkey);
-    benchmark::DoNotOptimize(_seckey);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-}
-
-// Benchmark Dilithium2 signing algorithm's performance
-inline void
-dilithium2_sign(benchmark::State& state)
-{
-  const size_t mlen = state.range(0);
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_44::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_44::SecKeyLen;
-  constexpr size_t siglen = ml_dsa_44::SigLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pkey(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig(siglen, 0);
-  std::vector<uint8_t> msg(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pkey = std::span<uint8_t, pklen>(pkey);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig = std::span<uint8_t, siglen>(sig);
-  auto _msg = std::span(msg);
-
-  ml_dsa_prng::prng_t<128> prng;
-  prng.read(_seed);
-  prng.read(_msg);
-
-  ml_dsa_44::keygen(_seed, _pkey, _skey);
-
-  for (auto _ : state) {
-    ml_dsa_44::sign(_skey, _msg, _sig, {});
-
-    benchmark::DoNotOptimize(_skey);
-    benchmark::DoNotOptimize(_msg);
-    benchmark::DoNotOptimize(_sig);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-  assert(ml_dsa_44::verify(_pkey, _msg, _sig));
-}
-
-// Benchmark Dilithium2 signature verification routine's performance
-inline void
-dilithium2_verify(benchmark::State& state)
-{
-  const size_t mlen = state.range(0);
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_44::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_44::SecKeyLen;
-  constexpr size_t siglen = ml_dsa_44::SigLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pkey(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig(siglen, 0);
-  std::vector<uint8_t> msg(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pkey = std::span<uint8_t, pklen>(pkey);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig = std::span<uint8_t, siglen>(sig);
-  auto _msg = std::span(msg);
-
-  ml_dsa_prng::prng_t<128> prng;
-  prng.read(_seed);
-  prng.read(_msg);
-
-  ml_dsa_44::keygen(_seed, _pkey, _skey);
-  ml_dsa_44::sign(_skey, _msg, _sig, {});
-
-  for (auto _ : state) {
-    bool flg = ml_dsa_44::verify(_pkey, _msg, _sig);
-
-    benchmark::DoNotOptimize(flg);
-    benchmark::DoNotOptimize(_pkey);
-    benchmark::DoNotOptimize(_msg);
-    benchmark::DoNotOptimize(_sig);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-}
-
-BENCHMARK(dilithium2_keygen)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
-BENCHMARK(dilithium2_sign)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
-BENCHMARK(dilithium2_verify)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
diff --git a/benchmarks/dilithium3.cpp b/benchmarks/dilithium3.cpp
deleted file mode 100644
index c39fc41..0000000
--- a/benchmarks/dilithium3.cpp
+++ /dev/null
@@ -1,121 +0,0 @@
-#include "bench_helper.hpp"
-#include "ml_dsa/ml_dsa_65.hpp"
-#include <benchmark/benchmark.h>
-
-// Benchmark Dilithium3 key generation algorithm's performance
-inline void
-dilithium3_keygen(benchmark::State& state)
-{
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_65::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_65::SecKeyLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pubkey(pklen, 0);
-  std::vector<uint8_t> seckey(sklen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pubkey = std::span<uint8_t, pklen>(pubkey);
-  auto _seckey = std::span<uint8_t, sklen>(seckey);
-
-  ml_dsa_prng::prng_t<192> prng;
-  prng.read(_seed);
-
-  for (auto _ : state) {
-    ml_dsa_65::keygen(_seed, _pubkey, _seckey);
-
-    benchmark::DoNotOptimize(_seed);
-    benchmark::DoNotOptimize(_pubkey);
-    benchmark::DoNotOptimize(_seckey);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-}
-
-// Benchmark Dilithium3 signing algorithm's performance
-inline void
-dilithium3_sign(benchmark::State& state)
-{
-  const size_t mlen = state.range(0);
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_65::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_65::SecKeyLen;
-  constexpr size_t siglen = ml_dsa_65::SigLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pkey(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig(siglen, 0);
-  std::vector<uint8_t> msg(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pkey = std::span<uint8_t, pklen>(pkey);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig = std::span<uint8_t, siglen>(sig);
-  auto _msg = std::span(msg);
-
-  ml_dsa_prng::prng_t<192> prng;
-  prng.read(_seed);
-  prng.read(_msg);
-
-  ml_dsa_65::keygen(_seed, _pkey, _skey);
-
-  for (auto _ : state) {
-    ml_dsa_65::sign(_skey, _msg, _sig, {});
-
-    benchmark::DoNotOptimize(_skey);
-    benchmark::DoNotOptimize(_msg);
-    benchmark::DoNotOptimize(_sig);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-  assert(ml_dsa_65::verify(_pkey, _msg, _sig));
-}
-
-// Benchmark Dilithium3 signature verification routine's performance
-inline void
-dilithium3_verify(benchmark::State& state)
-{
-  const size_t mlen = state.range(0);
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_65::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_65::SecKeyLen;
-  constexpr size_t siglen = ml_dsa_65::SigLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pkey(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig(siglen, 0);
-  std::vector<uint8_t> msg(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pkey = std::span<uint8_t, pklen>(pkey);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig = std::span<uint8_t, siglen>(sig);
-  auto _msg = std::span(msg);
-
-  ml_dsa_prng::prng_t<192> prng;
-  prng.read(_seed);
-  prng.read(_msg);
-
-  ml_dsa_65::keygen(_seed, _pkey, _skey);
-  ml_dsa_65::sign(_skey, _msg, _sig, {});
-
-  for (auto _ : state) {
-    bool flg = ml_dsa_65::verify(_pkey, _msg, _sig);
-
-    benchmark::DoNotOptimize(flg);
-    benchmark::DoNotOptimize(_pkey);
-    benchmark::DoNotOptimize(_msg);
-    benchmark::DoNotOptimize(_sig);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-}
-
-BENCHMARK(dilithium3_keygen)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
-BENCHMARK(dilithium3_sign)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
-BENCHMARK(dilithium3_verify)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
diff --git a/benchmarks/dilithium5.cpp b/benchmarks/dilithium5.cpp
deleted file mode 100644
index 89e86c6..0000000
--- a/benchmarks/dilithium5.cpp
+++ /dev/null
@@ -1,121 +0,0 @@
-#include "bench_helper.hpp"
-#include "ml_dsa/ml_dsa_87.hpp"
-#include <benchmark/benchmark.h>
-
-// Benchmark Dilithium5 key generation algorithm's performance
-inline void
-dilithium5_keygen(benchmark::State& state)
-{
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_87::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_87::SecKeyLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pubkey(pklen, 0);
-  std::vector<uint8_t> seckey(sklen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pubkey = std::span<uint8_t, pklen>(pubkey);
-  auto _seckey = std::span<uint8_t, sklen>(seckey);
-
-  ml_dsa_prng::prng_t<256> prng;
-  prng.read(_seed);
-
-  for (auto _ : state) {
-    ml_dsa_87::keygen(_seed, _pubkey, _seckey);
-
-    benchmark::DoNotOptimize(_seed);
-    benchmark::DoNotOptimize(_pubkey);
-    benchmark::DoNotOptimize(_seckey);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-}
-
-// Benchmark Dilithium5 signing algorithm's performance
-inline void
-dilithium5_sign(benchmark::State& state)
-{
-  const size_t mlen = state.range(0);
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_87::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_87::SecKeyLen;
-  constexpr size_t siglen = ml_dsa_87::SigLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pkey(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig(siglen, 0);
-  std::vector<uint8_t> msg(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pkey = std::span<uint8_t, pklen>(pkey);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig = std::span<uint8_t, siglen>(sig);
-  auto _msg = std::span(msg);
-
-  ml_dsa_prng::prng_t<256> prng;
-  prng.read(_seed);
-  prng.read(_msg);
-
-  ml_dsa_87::keygen(_seed, _pkey, _skey);
-
-  for (auto _ : state) {
-    ml_dsa_87::sign(_skey, _msg, _sig, {});
-
-    benchmark::DoNotOptimize(_skey);
-    benchmark::DoNotOptimize(_msg);
-    benchmark::DoNotOptimize(_sig);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-  assert(ml_dsa_87::verify(_pkey, _msg, _sig));
-}
-
-// Benchmark Dilithium5 signature verification routine's performance
-inline void
-dilithium5_verify(benchmark::State& state)
-{
-  const size_t mlen = state.range(0);
-  constexpr size_t slen = 32;
-  constexpr size_t pklen = ml_dsa_87::PubKeyLen;
-  constexpr size_t sklen = ml_dsa_87::SecKeyLen;
-  constexpr size_t siglen = ml_dsa_87::SigLen;
-
-  std::vector<uint8_t> seed(slen, 0);
-  std::vector<uint8_t> pkey(pklen, 0);
-  std::vector<uint8_t> skey(sklen, 0);
-  std::vector<uint8_t> sig(siglen, 0);
-  std::vector<uint8_t> msg(mlen, 0);
-
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _pkey = std::span<uint8_t, pklen>(pkey);
-  auto _skey = std::span<uint8_t, sklen>(skey);
-  auto _sig = std::span<uint8_t, siglen>(sig);
-  auto _msg = std::span(msg);
-
-  ml_dsa_prng::prng_t<256> prng;
-  prng.read(_seed);
-  prng.read(_msg);
-
-  ml_dsa_87::keygen(_seed, _pkey, _skey);
-  ml_dsa_87::sign(_skey, _msg, _sig, {});
-
-  for (auto _ : state) {
-    bool flg = ml_dsa_87::verify(_pkey, _msg, _sig);
-
-    benchmark::DoNotOptimize(flg);
-    benchmark::DoNotOptimize(_pkey);
-    benchmark::DoNotOptimize(_msg);
-    benchmark::DoNotOptimize(_sig);
-    benchmark::ClobberMemory();
-  }
-
-  state.SetItemsProcessed(state.iterations());
-}
-
-BENCHMARK(dilithium5_keygen)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
-BENCHMARK(dilithium5_sign)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);
-BENCHMARK(dilithium5_verify)->Arg(32)->ComputeStatistics("min", compute_min)->ComputeStatistics("max", compute_max);

From 8d95572ebe242cc926b8f27a15c209b2df0a8263 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Wed, 24 Jul 2024 21:03:04 +0400
Subject: [PATCH 35/37] Update API usage example

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 examples/ml_dsa_44.cpp | 66 ++++++++++++++++++++----------------------
 1 file changed, 32 insertions(+), 34 deletions(-)

diff --git a/examples/ml_dsa_44.cpp b/examples/ml_dsa_44.cpp
index 95b464f..dd27579 100644
--- a/examples/ml_dsa_44.cpp
+++ b/examples/ml_dsa_44.cpp
@@ -4,9 +4,8 @@
 #include <iostream>
 #include <vector>
 
-// Given a bytearray of length N, this function converts it to human readable
-// hex string of length N << 1 | N >= 0
-static inline const std::string
+// Given a bytearray of length N, this function converts it to human readable hex string of length 2*N | N >= 0.
+static inline std::string
 to_hex(std::span<const uint8_t> bytes)
 {
   std::stringstream ss;
@@ -21,49 +20,48 @@ to_hex(std::span<const uint8_t> bytes)
 
 // Compile it with
 //
-// g++ -std=c++20 -O3 -march=native -I ./include -I ./sha3/include examples/ml_dsa_44.cpp
+// g++ -std=c++20 -Wall -Wextra -pedantic -O3 -march=native -I ./include -I ./sha3/include examples/ml_dsa_44.cpp
 int
 main()
 {
-  constexpr size_t slen = 32; // seed length
-  constexpr size_t mlen = 32; // message length ( can be anything >= 1 )
+  // Byte length of message, can be anything >= 0.
+  constexpr size_t mlen = 32;
 
-  std::vector<uint8_t> seed(slen);
-  std::vector<uint8_t> rnd(slen);
+  std::vector<uint8_t> seed(ml_dsa_44::KeygenSeedByteLen);
+  std::vector<uint8_t> pubkey(ml_dsa_44::PubKeyByteLen);
+  std::vector<uint8_t> seckey(ml_dsa_44::SecKeyByteLen);
+  std::vector<uint8_t> rnd(ml_dsa_44::SigningSeedByteLen);
   std::vector<uint8_t> msg(mlen);
-  std::vector<uint8_t> pubkey(ml_dsa_44::PubKeyLen);
-  std::vector<uint8_t> seckey(ml_dsa_44::SecKeyLen);
-  std::vector<uint8_t> sig(ml_dsa_44::SigLen);
+  std::vector<uint8_t> sig(ml_dsa_44::SigByteLen);
 
-  auto _seed = std::span<uint8_t, slen>(seed);
-  auto _rnd = std::span<uint8_t, slen>(rnd);
-  auto _msg = std::span(msg);
-  auto _pubkey = std::span<uint8_t, ml_dsa_44::PubKeyLen>(pubkey);
-  auto _seckey = std::span<uint8_t, ml_dsa_44::SecKeyLen>(seckey);
-  auto _sig = std::span<uint8_t, ml_dsa_44::SigLen>(sig);
+  auto seed_span = std::span<uint8_t, ml_dsa_44::KeygenSeedByteLen>(seed);
+  auto rnd_span = std::span<uint8_t, ml_dsa_44::SigningSeedByteLen>(rnd);
+  auto msg_span = std::span(msg);
+  auto pubkey_span = std::span<uint8_t, ml_dsa_44::PubKeyByteLen>(pubkey);
+  auto seckey_span = std::span<uint8_t, ml_dsa_44::SecKeyByteLen>(seckey);
+  auto sig_span = std::span<uint8_t, ml_dsa_44::SigByteLen>(sig);
 
-  // Generate random 32 -bytes seed, 32 -bytes randomness (for signing) and N -bytes message ( to be signed )
   ml_dsa_prng::prng_t<128> prng;
 
-  prng.read(_seed);
-  prng.read(_rnd);
-  prng.read(_msg);
+  prng.read(seed_span);
+  prng.read(msg_span);
 
-  // Key generation -> signing -> verification
-  ml_dsa_44::keygen(_seed, _pubkey, _seckey);
-  ml_dsa_44::sign(_rnd, _seckey, _msg, _sig);
-  const bool flg = ml_dsa_44::verify(_pubkey, _msg, _sig);
+  // Filling `rnd` with random bytes, invokes default and recommended "hedged" version of signing.
+  // While filling it with 0, invokes "deterministic" signing mode.
+  prng.read(rnd_span);
 
-  std::cout << "Dilithium @ NIST security level 2\n";
-  std::cout << "seed      : " << to_hex(_seed) << "\n";
-  std::cout << "pubkey    : " << to_hex(_pubkey) << "\n";
-  std::cout << "seckey    : " << to_hex(_seckey) << "\n";
-  std::cout << "message   : " << to_hex(_msg) << "\n";
-  std::cout << "signature : " << to_hex(_sig) << "\n";
-  std::cout << "verified   : " << std::boolalpha << flg << "\n";
+  ml_dsa_44::keygen(seed_span, pubkey_span, seckey_span);
+  ml_dsa_44::sign(rnd_span, seckey_span, msg_span, sig_span);
+  const bool is_valid = ml_dsa_44::verify(pubkey_span, msg_span, sig_span);
 
-  // check that signature verification passed !
-  assert(flg);
+  std::cout << "ML-DSA-44 @ NIST security level 2\n";
+  std::cout << "Seed      : " << to_hex(seed_span) << "\n";
+  std::cout << "Pubkey    : " << to_hex(pubkey_span) << "\n";
+  std::cout << "Seckey    : " << to_hex(seckey_span) << "\n";
+  std::cout << "Message   : " << to_hex(msg_span) << "\n";
+  std::cout << "Signature : " << to_hex(sig_span) << "\n";
+  std::cout << "Verified   : " << std::boolalpha << is_valid << "\n";
 
+  assert(is_valid);
   return EXIT_SUCCESS;
 }

From 95dcd4c1e68bb0b2b50da829e0b0765f0fbd2949 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Wed, 24 Jul 2024 21:10:23 +0400
Subject: [PATCH 36/37] Minor updates to Github Actions script

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 .github/workflows/test_ci.yml | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/.github/workflows/test_ci.yml b/.github/workflows/test_ci.yml
index 7519d49..dacd868 100644
--- a/.github/workflows/test_ci.yml
+++ b/.github/workflows/test_ci.yml
@@ -1,4 +1,4 @@
-name: Test Dilithium Post-Quantum Digital Signature Scheme
+name: Test NIST FIPS 204 ML-DSA
 
 on:
   push:
@@ -23,8 +23,8 @@ jobs:
         mkdir build
         pushd build
         cmake .. -DBUILD_GMOCK=OFF
-        make
-        sudo make install
+        make -j
+        sudo make install -j
         popd
         popd
         popd

From c8021cd39ee88444582495236a8e89c0af23d0a4 Mon Sep 17 00:00:00 2001
From: Anjan Roy <hello@itzmeanjan.in>
Date: Thu, 1 Aug 2024 22:07:22 +0530
Subject: [PATCH 37/37] Update project documentation

Signed-off-by: Anjan Roy <hello@itzmeanjan.in>
---
 README.md | 531 +++++++++++++++++-------------------------------------
 1 file changed, 161 insertions(+), 370 deletions(-)

diff --git a/README.md b/README.md
index ce70973..666f7fd 100644
--- a/README.md
+++ b/README.md
@@ -1,42 +1,40 @@
 > [!CAUTION]
-> This Dilithium implementation is conformant with Dilithium specification @ https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf. I also try to make it timing leakage free, using `dudect` (see https://github.com/oreparaz/dudect) -based tests, but be informed that this implementation is not yet audited. *If you consider using it in production, be careful !*
+> This ML-DSA implementation is conformant with ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd. I also try to make it timing leakage free, using `dudect` (see https://github.com/oreparaz/dudect) -based tests, but be informed that this implementation is not yet audited. *If you consider using it in production, be careful !*
 
-# dilithium
-CRYSTALS-Dilithium: Post-Quantum Digital Signature Algorithm
+# ML-DSA (formerly known as Dilithium)
+
+Module-Lattice-Based Digital Signature Standard by NIST.
 
 ## Motivation
 
-Dilithium is one of those post-quantum digital signature algorithms ( DSA ), which is selected by NIST for standardization. Dilithium's security is based on hardness of finding short vectors in lattice i.e. it's a lattice based Post Quantum Cryptographic (PQC) construction.
+ML-DSA is being standardized by NIST as post-quantum secure digital signature algorithm (DSA), which can be used for verifying the authenticity of digital messages, giving recipient party confidence that the message indeed came from the known sender. ML-DSA's security is based on hardness of finding short vectors in lattice i.e. it's a lattice-based Post Quantum Cryptographic (PQC) construction.
 
-Dilithium DSA offers following three algorithms.
+ML-DSA offers following three algorithms.
 
 Algorithm | What does it do ?
 --- | --:
-KeyGen | It takes a 32 -bytes seed, which is used for deterministically computing both public key and secret key i.e. keypair.
-Sign | It takes a secret key and a N (>0) -bytes message as input, which is used for deterministically ( default )/ randomly ( in this case, you must supply 64 uniform random sampled bytes as seed ) signing message, producing signature bytes.
-Verify | It takes a public key, N (>0) -bytes message and signature, returning boolean value, denoting status of successful signature verification operation.
+KeyGen | It takes a 32 -bytes seed, which is used for *deterministically* computing a ML-DSA keypair i.e. both public key and secret key.
+Sign | It takes a 32 -bytes seed, a ML-DSA secret key and a N (>=0) -bytes message as input, producing ML-DSA signature bytes. For default and recommended **hedged** message signing, one must provide with 32B random seed. For deterministic message signing, one should simply fill seed with 32 zero bytes.
+Verify | It takes a ML-DSA public key, N (>=0) -bytes message and ML-DSA signature, returning boolean value, denoting status of successful signature verification operation.
 
-Here I'm maintaining Dilithium as a header-only, easy-to-use C++ library, offering key generation, signing & verification API for three NIST security level ( i.e. 2, 3, 5 ) parameters, as defined in table 2 of Dilithium specification. For more details see [below](#usage).
+Here I'm maintaining `ml-dsa` as a header-only, easy-to-use C++20 library, implementing NIST FIPS 204 ML-DSA, supporting ML-DSA-{44, 65, 87} parameter sets, as defined in table 1 of ML-DSA draft standard. For more details see [below](#usage).
 
 > [!NOTE]
-> Find Dilithium specification @ https://pq-crystals.org/dilithium/data/dilithium-specification-round3-20210208.pdf, which you should refer to when understanding intricate details of this implementation.
-
-> [!NOTE] 
-> Follow progress of NIST PQC standardization effort [here](https://csrc.nist.gov/projects/post-quantum-cryptography).
+> Find ML-DSA draft standard @ https://doi.org/10.6028/NIST.FIPS.204.ipd, which you should refer to when understanding intricate details of this implementation.
 
 ## Prerequisites
 
-- A C++ compiler with C++20 standard library such as `g++`/ `clang++`.
+- A C++ compiler with C++20 standard library such as `clang++`/ `g++`.
 
 ```bash
 $ clang++ --version
-Ubuntu clang version 17.0.2 (1~exp1ubuntu2.1)
+Ubuntu clang version 17.0.6 (9ubuntu1)
 Target: x86_64-pc-linux-gnu
 Thread model: posix
 InstalledDir: /usr/bin
 
 $ g++ --version
-gcc (Ubuntu 13.2.0-4ubuntu3) 13.2.0
+g++ (Ubuntu 14-20240412-0ubuntu1) 14.0.1 20240412 (experimental) [master r14-9935-g67e1433a94f]
 ```
 
 - System development utilities such as `make`, `cmake`.
@@ -46,24 +44,24 @@ $ make --version
 GNU Make 4.3
 
 $ cmake --version
-cmake version 3.25.1
+cmake version 3.28.3
 ```
 
-- For testing correctness and compatibility of this Dilithium implementation, you need to globally install `google-test` library and headers. Follow guide @ https://github.com/google/googletest/tree/main/googletest#standalone-cmake-project, if you don't have it installed.
-- For benchmarking Dilithium algorithms, you must have `google-benchmark` header and library globally installed. I found guide @ https://github.com/google/benchmark#installation helpful.
+- For testing correctness and compatibility of this ML-DSA implementation, you need to globally install `google-test` library and headers. Follow guide @ https://github.com/google/googletest/tree/main/googletest#standalone-cmake-project, if you don't have it installed.
+- For benchmarking ML-DSA algorithms, you must have `google-benchmark` header and library globally installed. I found guide @ https://github.com/google/benchmark#installation helpful.
 
 > [!NOTE]
-> If you are on a machine running GNU/Linux kernel and you want to obtain CPU cycle count for KEM routines, you should consider building `google-benchmark` library with `libPFM` support, following https://gist.github.com/itzmeanjan/05dc3e946f635d00c5e0b21aae6203a7, a step-by-step guide. Find more about `libPFM` @ https://perfmon2.sourceforge.net.
+> If you are on a machine running GNU/Linux kernel and you want to obtain CPU cycle count for ML-DSA routines, you should consider building `google-benchmark` library with `libPFM` support, following https://gist.github.com/itzmeanjan/05dc3e946f635d00c5e0b21aae6203a7, a step-by-step guide. Find more about `libPFM` @ https://perfmon2.sourceforge.net.
 
 > [!TIP]
-> Git submodule based dependencies will generally be imported automatically, but in case that doesn't work, you can manually initialize and update them by issuing `$ git submodule update --init` from inside the root of this repository.
+> Git submodule based dependencies will normally be imported automatically, but in case that doesn't work, you can manually initialize and update them by issuing `$ git submodule update --init` from inside the root of this repository.
 
 ## Testing
 
-For ensuring functional correctness ( & conformance with the Dilithium specification, assuming the reference implemenation @ https://github.com/pq-crystals/dilithium.git is correct ) of this Dilithium library implemenation, issue
+For ensuring functional correctness of this library implementation of ML-DSA and conformance with the ML-DSA draft standard, issue following command.
 
-> [!NOTE] 
-> Dilithium Known Answer Tests are generated following the procedure, described in https://gist.github.com/itzmeanjan/d14afc3866b82119221682f0f3c9822d.
+> [!NOTE]
+> ML-DSA Known Answer Tests, living in this [directory](./kats), are generated following the procedure, described in https://gist.github.com/itzmeanjan/d14afc3866b82119221682f0f3c9822d.
 
 ```bash
 make -j            # Run tests without any sort of sanitizers
@@ -72,27 +70,25 @@ make ubsan_test -j # Run tests with UndefinedBehaviourSanitizer enabled
 ```
 
 ```bash
-[13/13] Dilithium.ArithmeticOverZq (365 ms)
-PASSED TESTS (13/13):
-       1 ms: build/test.out Dilithium.HintBitPolynomialEncodingDecoding
-       1 ms: build/test.out Dilithium.PolynomialEncodingDecoding
-       1 ms: build/test.out Dilithium.HashingToABall
-       1 ms: build/test.out Dilithium.NumberTheoreticTransform
-       6 ms: build/test.out Dilithium.Power2Round
-      16 ms: build/test.out Dilithium.MakingAndUsingOfHintBits
-      54 ms: build/test.out Dilithium.Dilithium3KeygenSignVerifyFlow
-      54 ms: build/test.out Dilithium.Dilithium2KeygenSignVerifyFlow
-      92 ms: build/test.out Dilithium.Dilithium3KnownAnswerTests
-      93 ms: build/test.out Dilithium.Dilithium5KeygenSignVerifyFlow
-     112 ms: build/test.out Dilithium.Dilithium2KnownAnswerTests
-     149 ms: build/test.out Dilithium.Dilithium5KnownAnswerTests
-     365 ms: build/test.out Dilithium.ArithmeticOverZq
+PASSED TESTS (12/12):
+       3 ms: build/test.out ML_DSA.HintBitPolynomialEncodingDecoding
+       4 ms: build/test.out ML_DSA.HashingToABall
+       4 ms: build/test.out ML_DSA.PolynomialEncodingDecoding
+      13 ms: build/test.out ML_DSA.Power2Round
+      42 ms: build/test.out ML_DSA.MakingAndUsingOfHintBits
+      78 ms: build/test.out ML_DSA.ML_DSA_44_KeygenSignVerifyFlow
+     116 ms: build/test.out ML_DSA.ML_DSA_44_KnownAnswerTests
+     123 ms: build/test.out ML_DSA.ML_DSA_87_KeygenSignVerifyFlow
+     126 ms: build/test.out ML_DSA.ML_DSA_65_KeygenSignVerifyFlow
+     170 ms: build/test.out ML_DSA.ML_DSA_65_KnownAnswerTests
+     276 ms: build/test.out ML_DSA.ML_DSA_87_KnownAnswerTests
+     767 ms: build/test.out ML_DSA.ArithmeticOverZq
 ```
 
 You can run timing leakage tests, using `dudect`, execute following
 
 > [!NOTE]
-> `dudect` is integrated into this library implementation of Dilithium DSA to find any sort of timing leakages. It checks for constant-timeness of most of the vital internal functions. Though it doesn't check constant-timeness of functions which use uniform rejection sampling, such as expansion of public matrix `A` or sampling of the vectors `s1`, `s2` or hashing to a ball etc.
+> `dudect` is integrated into this library implementation of ML-DSA to find any sort of timing leakages. It checks for constant-timeness of most of the vital internal functions. Though it doesn't check constant-timeness of functions which use uniform rejection sampling, such as expansion of public matrix `A` or sampling of the vectors `s1`, `s2` or hashing to a ball etc..
 
 ```bash
 # Can only be built and run on x86_64 machine.
@@ -101,9 +97,9 @@ make dudect_test_build -j
 # Before running the constant-time tests, it's a good idea to put all CPU cores on "performance" mode.
 # You may find the guide @ https://github.com/google/benchmark/blob/main/docs/reducing_variance.md helpful.
 
-timeout 10m taskset -c 0 ./build/dudect/test_dilithium2.out
-timeout 10m taskset -c 0 ./build/dudect/test_dilithium3.out
-timeout 10m taskset -c 0 ./build/dudect/test_dilithium5.out
+timeout 10m taskset -c 0 ./build/dudect/test_ml_dsa_44.out
+timeout 10m taskset -c 0 ./build/dudect/test_ml_dsa_65.out
+timeout 10m taskset -c 0 ./build/dudect/test_ml_dsa_87.out
 ```
 
 > [!TIP]
@@ -130,403 +126,198 @@ meas:   49.71 M, max t:   +2.78, max tau: 3.94e-04, (5/tau)^2: 1.61e+08. For the
 
 ## Benchmarking
 
-Benchmarking key generation, signing and verification algorithms for various instantiations of Dilithium digital signature scheme can be done, by issuing
+> [!WARNING]
+> Relying only on average timing measurement for understanding performance characteristics of ML-DSA `sign` algorithm may not be a good idea, given that it's a post-quantum digital signature scheme of **"Fiat-Shamir with Aborts"** paradigm - simply put, during signing procedure it may need to abort and restart again, multiple times, based on what message is being signed or what random seed is being used for default **hedged** signing. So it's a better idea to also compute other statistics such as minimum, maximum and *median* ( pretty useful ) when timing execution of `sign` procedure. In following benchmark results, you'll see such statistics demonstrating broader performance characteristics of ML-DSA `sign` procedure for various parameter sets.
+
+Benchmarking key generation, signing and verification algorithms for various instantiations of ML-DSA can be done, by issuing
 
 ```bash
 make benchmark -j  # If you haven't built google-benchmark library with libPFM support.
 make perf -j       # If you have built google-benchmark library with libPFM support.
 ```
 
-> [!NOTE] 
-> Benchmarking expects presence of `google-benchmark` headers and library in global namespace ( so that it can be found by the compiler ) i.e. header and library path must live on **$PATH**.
-
 > [!CAUTION] 
-> Ensure you've put all your CPU cores on performance mode before running benchmarks, follow guide @ https://github.com/google/benchmark/blob/main/docs/reducing_variance.md.
-
-> [!NOTE]
-> Only deterministic signing procedure is benchmarked here, while signing random message of length 32 -bytes. One can benchmark non-deterministic signing procedure by explicitly passing truth value to template parameter of `sign(...)` routine and they must supply a 64 -bytes uniform random sampled seed, when invoking `sign` routine.
-
-> [!WARNING]
-> Relying only on average timing measurement for understanding performance characteristics of Dilithium signing algorithm may not be a good idea, given that it's a post-quantum digital signature scheme of **"Fiat-Shamir with Aborts"** paradigm - broadly speaking, during signing procedure it may need to abort and restart again, multiple times, based on what message is being signed or what sort of random seed is being used for randomized signing. So it's a better idea to also compute other statistics such as minimum, maximum and *median* ( pretty useful ) when timing execution of signing procedure. In following benchmark results, you'll see such statistics demonstrating broader performance characteristics of Dilithium signing procedure for various parameter sets.
-
-> [!NOTE]
-> `make perf` - was issued when collecting following benchmarks. Notice, *cycles* column, denoting cost of executing Dilithium signature scheme routines in terms of CPU cycles. Follow [this](https://github.com/google/benchmark/blob/main/docs/perf_counters.md) for more details.
+> Ensure you've put all CPU cores on **performance** mode, before running benchmarks, follow guide @ https://github.com/google/benchmark/blob/main/docs/reducing_variance.md.
 
 ### On 12th Gen Intel(R) Core(TM) i7-1260P
 
-Compiled with **gcc version 13.2.0 (Ubuntu 13.2.0-4ubuntu3)**.
+Compiled with **gcc version 14.0.1 20240412**.
 
 ```bash
 $ uname -srm
-Linux 6.5.0-14-generic x86_64
+Linux 6.8.0-39-generic x86_64
 ```
 
 ```bash
-2023-12-24T13:05:17+04:00
+2024-08-01T21:31:03+05:30
 Running ./build/perf.out
-Run on (16 X 4129.81 MHz CPU s)
+Run on (16 X 399.747 MHz CPU s)
 CPU Caches:
   L1 Data 48 KiB (x8)
   L1 Instruction 32 KiB (x8)
   L2 Unified 1280 KiB (x8)
   L3 Unified 18432 KiB (x1)
-Load Average: 0.33, 0.29, 0.27
---------------------------------------------------------------------------------------------------
-Benchmark                            Time             CPU   Iterations     CYCLES items_per_second
---------------------------------------------------------------------------------------------------
-dilithium5_sign/32_mean            573 us          573 us           32   2.62244M       2.15221k/s
-dilithium5_sign/32_median          570 us          570 us           32   2.56475M       1.77223k/s
-dilithium5_sign/32_stddev          289 us          289 us           32   1.33162M        983.885/s
-dilithium5_sign/32_cv            50.50 %         50.50 %            32     50.78%           45.72%
-dilithium5_sign/32_min             266 us          266 us           32   1.22116M        584.246/s
-dilithium5_sign/32_max            1712 us         1712 us           32   7.85984M       3.75566k/s
-dilithium2_sign/32_mean            413 us          413 us           32   1.92469M       4.31431k/s
-dilithium2_sign/32_median          239 us          239 us           32   1.10512M       4.18457k/s
-dilithium2_sign/32_stddev          393 us          393 us           32   1.83463M       2.77288k/s
-dilithium2_sign/32_cv            95.04 %         95.04 %            32     95.32%           64.27%
-dilithium2_sign/32_min             114 us          114 us           32     531.5k        548.719/s
-dilithium2_sign/32_max            1822 us         1822 us           32   8.53117M       8.78612k/s
-dilithium3_keygen_mean             100 us          100 us           32    450.02k       10.0107k/s
-dilithium3_keygen_median          98.4 us         98.4 us           32   450.223k        10.158k/s
-dilithium3_keygen_stddev          3.72 us         3.72 us           32   1.44564k        370.119/s
-dilithium3_keygen_cv              3.72 %          3.72 %            32      0.32%            3.70%
-dilithium3_keygen_min             95.9 us         95.9 us           32   443.754k       9.43455k/s
-dilithium3_keygen_max              106 us          106 us           32   452.294k       10.4222k/s
-dilithium3_sign/32_mean            511 us          511 us           32   2.38786M        2.9922k/s
-dilithium3_sign/32_median          346 us          346 us           32   1.60917M       2.89361k/s
-dilithium3_sign/32_stddev          370 us          370 us           32   1.73198M       1.82606k/s
-dilithium3_sign/32_cv            72.38 %         72.38 %            32     72.53%           61.03%
-dilithium3_sign/32_min             171 us          171 us           32   798.767k        611.443/s
-dilithium3_sign/32_max            1636 us         1635 us           32   7.65597M       5.86292k/s
-dilithium3_verify/32_mean          104 us          104 us           32   472.594k       9.60074k/s
-dilithium3_verify/32_median        102 us          102 us           32   472.428k       9.82254k/s
-dilithium3_verify/32_stddev       3.54 us         3.55 us           32    870.197        322.901/s
-dilithium3_verify/32_cv           3.40 %          3.40 %            32      0.18%            3.36%
-dilithium3_verify/32_min           101 us          101 us           32   470.808k        9.0583k/s
-dilithium3_verify/32_max           110 us          110 us           32   474.024k       9.92375k/s
-dilithium5_keygen_mean             168 us          168 us           32   749.512k       5.96366k/s
-dilithium5_keygen_median           167 us          167 us           32   748.591k       6.00453k/s
-dilithium5_keygen_stddev          4.98 us         4.97 us           32   3.57104k        175.466/s
-dilithium5_keygen_cv              2.96 %          2.96 %            32      0.48%            2.94%
-dilithium5_keygen_min              162 us          162 us           32   743.167k       5.63682k/s
-dilithium5_keygen_max              177 us          177 us           32   757.093k       6.18287k/s
-dilithium2_verify/32_mean         64.0 us         64.0 us           32   292.642k        15.631k/s
-dilithium2_verify/32_median       62.9 us         62.9 us           32   292.392k       15.9072k/s
-dilithium2_verify/32_stddev       2.00 us         2.00 us           32    891.422        476.406/s
-dilithium2_verify/32_cv           3.12 %          3.12 %            32      0.30%            3.05%
-dilithium2_verify/32_min          62.4 us         62.4 us           32   291.515k       14.6913k/s
-dilithium2_verify/32_max          68.1 us         68.1 us           32   294.848k       16.0265k/s
-dilithium2_keygen_mean            59.0 us         59.0 us           32   269.516k       16.9619k/s
-dilithium2_keygen_median          58.4 us         58.4 us           32   269.005k       17.1373k/s
-dilithium2_keygen_stddev          1.96 us         1.96 us           32   2.73875k        546.274/s
-dilithium2_keygen_cv              3.31 %          3.31 %            32      1.02%            3.22%
-dilithium2_keygen_min             56.7 us         56.7 us           32   265.559k       15.6044k/s
-dilithium2_keygen_max             64.1 us         64.1 us           32   275.942k       17.6457k/s
-dilithium5_verify/32_mean          171 us          171 us           32    780.57k        5.8392k/s
-dilithium5_verify/32_median        168 us          168 us           32   780.972k       5.95881k/s
-dilithium5_verify/32_stddev       5.63 us         5.63 us           32   1.43262k        187.536/s
-dilithium5_verify/32_cv           3.28 %          3.28 %            32      0.18%            3.21%
-dilithium5_verify/32_min           167 us          167 us           32   778.381k       5.49484k/s
-dilithium5_verify/32_max           182 us          182 us           32   782.668k       6.00273k/s
-```
-
-### On ARM Cortex-A72 i.e. Raspberry Pi 4B
-
-Compiled with **gcc version 13.2.0 (Ubuntu 13.2.0-4ubuntu3)**.
-
-```bash
-$ uname -srm
-Linux 6.5.0-1008-raspi aarch64
-```
-
-```bash
-2023-12-24T15:13:38+05:30
-Running ./build/perf.out
-Run on (4 X 1800 MHz CPU s)
-CPU Caches:
-  L1 Data 32 KiB (x4)
-  L1 Instruction 48 KiB (x4)
-  L2 Unified 1024 KiB (x1)
-Load Average: 1.18, 1.24, 0.78
---------------------------------------------------------------------------------------------------
-Benchmark                            Time             CPU   Iterations     CYCLES items_per_second
---------------------------------------------------------------------------------------------------
-dilithium5_verify/32_mean          982 us          982 us           32   1.76352M       1.01874k/s
-dilithium5_verify/32_median        982 us          982 us           32   1.76347M       1.01877k/s
-dilithium5_verify/32_stddev      0.618 us        0.417 us           32      447.3       0.432759/s
-dilithium5_verify/32_cv           0.06 %          0.04 %            32      0.03%            0.04%
-dilithium5_verify/32_min           981 us          981 us           32   1.76263M       1.01761k/s
-dilithium5_verify/32_max           984 us          983 us           32   1.76433M        1.0195k/s
-dilithium3_verify/32_mean          627 us          627 us           32   1.12594M       1.59563k/s
-dilithium3_verify/32_median        627 us          627 us           32   1.12584M       1.59581k/s
-dilithium3_verify/32_stddev      0.369 us        0.267 us           32      385.4       0.678979/s
-dilithium3_verify/32_cv           0.06 %          0.04 %            32      0.03%            0.04%
-dilithium3_verify/32_min           626 us          626 us           32   1.12543M       1.59386k/s
-dilithium3_verify/32_max           628 us          627 us           32   1.12704M       1.59664k/s
-dilithium2_verify/32_mean          397 us          397 us           32   712.872k       2.51939k/s
-dilithium2_verify/32_median        397 us          397 us           32   712.921k       2.51999k/s
-dilithium2_verify/32_stddev       1.01 us        0.901 us           32    514.135        5.66412/s
-dilithium2_verify/32_cv           0.25 %          0.23 %            32      0.07%            0.22%
-dilithium2_verify/32_min           396 us          396 us           32   711.708k       2.49017k/s
-dilithium2_verify/32_max           402 us          402 us           32   713.909k       2.52477k/s
-dilithium2_keygen_mean             332 us          332 us           32   596.912k       3.00994k/s
-dilithium2_keygen_median           333 us          333 us           32   597.624k       3.00643k/s
-dilithium2_keygen_stddev          1.30 us         1.31 us           32   2.40391k        11.8347/s
-dilithium2_keygen_cv              0.39 %          0.39 %            32      0.40%            0.39%
-dilithium2_keygen_min              329 us          329 us           32   591.684k       2.98561k/s
-dilithium2_keygen_max              335 us          335 us           32   601.775k       3.03661k/s
-dilithium3_sign/32_mean           4059 us         4058 us           32   7.29006M        365.449/s
-dilithium3_sign/32_median         3304 us         3303 us           32   5.93442M        302.715/s
-dilithium3_sign/32_stddev         2724 us         2723 us           32   4.89362M        233.459/s
-dilithium3_sign/32_cv            67.10 %         67.11 %            32     67.13%           63.88%
-dilithium3_sign/32_min            1171 us         1171 us           32   2.10391M        71.6582/s
-dilithium3_sign/32_max           13957 us        13955 us           32   25.0762M        854.011/s
-dilithium5_sign/32_mean           6044 us         6043 us           32   10.8539M        270.538/s
-dilithium5_sign/32_median         4732 us         4732 us           32   8.49736M        211.344/s
-dilithium5_sign/32_stddev         4933 us         4932 us           32   8.86216M        184.414/s
-dilithium5_sign/32_cv            81.63 %         81.63 %            32     81.65%           68.17%
-dilithium5_sign/32_min            1722 us         1722 us           32   3.09382M        38.8392/s
-dilithium5_sign/32_max           25754 us        25747 us           32   46.2578M        580.602/s
-dilithium5_keygen_mean             869 us          869 us           32   1.56125M       1.15065k/s
-dilithium5_keygen_median           869 us          869 us           32    1.5609M       1.15112k/s
-dilithium5_keygen_stddev          2.55 us         2.30 us           32   3.61955k        3.03513/s
-dilithium5_keygen_cv              0.29 %          0.26 %            32      0.23%            0.26%
-dilithium5_keygen_min              865 us          865 us           32   1.55393M       1.14095k/s
-dilithium5_keygen_max              879 us          876 us           32   1.57077M       1.15633k/s
-dilithium3_keygen_mean             548 us          547 us           32   983.306k       1.82668k/s
-dilithium3_keygen_median           547 us          547 us           32   983.369k       1.82715k/s
-dilithium3_keygen_stddev         0.969 us        0.740 us           32    698.653        2.45958/s
-dilithium3_keygen_cv              0.18 %          0.14 %            32      0.07%            0.13%
-dilithium3_keygen_min              547 us          547 us           32   981.931k       1.81604k/s
-dilithium3_keygen_max              552 us          551 us           32   984.944k       1.82955k/s
-dilithium2_sign/32_mean           2253 us         2253 us           32   4.04616M         666.05/s
-dilithium2_sign/32_median         1763 us         1762 us           32   3.16635M        567.381/s
-dilithium2_sign/32_stddev         1738 us         1738 us           32   3.12125M        385.348/s
-dilithium2_sign/32_cv            77.14 %         77.13 %            32     77.14%           57.86%
-dilithium2_sign/32_min             782 us          782 us           32   1.40548M        109.753/s
-dilithium2_sign/32_max            9114 us         9111 us           32   16.3662M       1.27835k/s
-```
-
-### On Apple M1 Max
-
-Compiled with **Apple clang version 15.0.0 (clang-1500.1.0.2.5)**.
-
-```bash
-$ uname -srm
-Darwin 23.2.0 arm64
-```
-
-```bash
-2024-01-22T19:57:30+04:00
-Running ./build/bench.out
-Run on (10 X 24 MHz CPU s)
-CPU Caches:
-  L1 Data 64 KiB
-  L1 Instruction 128 KiB
-  L2 Unified 4096 KiB (x10)
-Load Average: 1.61, 1.96, 2.34
----------------------------------------------------------------------------------------
-Benchmark                            Time             CPU   Iterations items_per_second
----------------------------------------------------------------------------------------
-dilithium5_verify/32_mean          182 us          182 us           32       5.48988k/s
-dilithium5_verify/32_median        182 us          182 us           32       5.49471k/s
-dilithium5_verify/32_stddev      0.790 us        0.792 us           32         23.356/s
-dilithium5_verify/32_cv           0.43 %          0.43 %            32            0.43%
-dilithium5_verify/32_min           182 us          182 us           32       5.36387k/s
-dilithium5_verify/32_max           187 us          186 us           32        5.5007k/s
-dilithium3_keygen_mean             103 us          102 us           32       9.75627k/s
-dilithium3_keygen_median           103 us          103 us           32       9.75592k/s
-dilithium3_keygen_stddev         0.113 us        0.113 us           32        10.7959/s
-dilithium3_keygen_cv              0.11 %          0.11 %            32            0.11%
-dilithium3_keygen_min              102 us          102 us           32       9.72649k/s
-dilithium3_keygen_max              103 us          103 us           32       9.77192k/s
-dilithium2_sign/32_mean            389 us          388 us           32       3.60304k/s
-dilithium2_sign/32_median          308 us          308 us           32       3.28064k/s
-dilithium2_sign/32_stddev          224 us          224 us           32       2.13469k/s
-dilithium2_sign/32_cv            57.71 %         57.71 %            32           59.25%
-dilithium2_sign/32_min             125 us          125 us           32       1.10009k/s
-dilithium2_sign/32_max             910 us          909 us           32       7.99269k/s
-dilithium3_verify/32_mean          113 us          112 us           32       8.89718k/s
-dilithium3_verify/32_median        113 us          112 us           32        8.8974k/s
-dilithium3_verify/32_stddev      0.062 us        0.044 us           32        3.48072/s
-dilithium3_verify/32_cv           0.06 %          0.04 %            32            0.04%
-dilithium3_verify/32_min           112 us          112 us           32       8.89127k/s
-dilithium3_verify/32_max           113 us          112 us           32       8.90303k/s
-dilithium2_verify/32_mean         69.5 us         69.4 us           32       14.4038k/s
-dilithium2_verify/32_median       69.5 us         69.4 us           32       14.4049k/s
-dilithium2_verify/32_stddev      0.055 us        0.026 us           32        5.49004/s
-dilithium2_verify/32_cv           0.08 %          0.04 %            32            0.04%
-dilithium2_verify/32_min          69.4 us         69.4 us           32       14.3902k/s
-dilithium2_verify/32_max          69.7 us         69.5 us           32       14.4125k/s
-dilithium2_keygen_mean            60.7 us         60.6 us           32       16.4974k/s
-dilithium2_keygen_median          60.7 us         60.6 us           32       16.5101k/s
-dilithium2_keygen_stddev         0.489 us        0.482 us           32        130.751/s
-dilithium2_keygen_cv              0.81 %          0.80 %            32            0.79%
-dilithium2_keygen_min             59.8 us         59.8 us           32       16.1638k/s
-dilithium2_keygen_max             61.9 us         61.9 us           32       16.7339k/s
-dilithium5_sign/32_mean            786 us          785 us           32       1.79488k/s
-dilithium5_sign/32_median          574 us          573 us           32       1.74461k/s
-dilithium5_sign/32_stddev          560 us          559 us           32        943.588/s
-dilithium5_sign/32_cv            71.24 %         71.24 %            32           52.57%
-dilithium5_sign/32_min             287 us          287 us           32        368.016/s
-dilithium5_sign/32_max            2721 us         2717 us           32       3.48385k/s
-dilithium3_sign/32_mean            498 us          497 us           32       3.06659k/s
-dilithium3_sign/32_median          393 us          392 us           32        2.5494k/s
-dilithium3_sign/32_stddev          366 us          365 us           32       1.76289k/s
-dilithium3_sign/32_cv            73.44 %         73.44 %            32           57.49%
-dilithium3_sign/32_min             190 us          189 us           32         621.66/s
-dilithium3_sign/32_max            1611 us         1609 us           32       5.27815k/s
-dilithium5_keygen_mean             168 us          167 us           32       5.97094k/s
-dilithium5_keygen_median           168 us          168 us           32       5.96961k/s
-dilithium5_keygen_stddev         0.495 us        0.469 us           32        16.7342/s
-dilithium5_keygen_cv              0.30 %          0.28 %            32            0.28%
-dilithium5_keygen_min              167 us          166 us           32       5.94183k/s
-dilithium5_keygen_max              169 us          168 us           32       6.01249k/s
+Load Average: 0.66, 0.51, 0.68
+-------------------------------------------------------------------------------------------------
+Benchmark                           Time             CPU   Iterations     CYCLES items_per_second
+-------------------------------------------------------------------------------------------------
+ml_dsa_44_sign/32_mean            256 us          256 us           32   1.19738M       5.15337k/s
+ml_dsa_44_sign/32_median          208 us          208 us           32   975.694k       4.80075k/s
+ml_dsa_44_sign/32_stddev          153 us          153 us           32   718.524k       2.41135k/s
+ml_dsa_44_sign/32_cv            59.92 %         59.92 %            32     60.01%           46.79%
+ml_dsa_44_sign/32_min             111 us          111 us           32    519.64k       1.54879k/s
+ml_dsa_44_sign/32_max             646 us          646 us           32   3.02393M       9.00608k/s
+ml_dsa_65_sign/32_mean            528 us          528 us           32   2.47044M        2.7681k/s
+ml_dsa_65_sign/32_median          435 us          435 us           32   2.03615M       2.29703k/s
+ml_dsa_65_sign/32_stddev          323 us          323 us           32   1.50973M       1.77477k/s
+ml_dsa_65_sign/32_cv            61.17 %         61.16 %            32     61.11%           64.12%
+ml_dsa_65_sign/32_min             168 us          168 us           32   786.787k        689.632/s
+ml_dsa_65_sign/32_max            1450 us         1450 us           32   6.74411M       5.95098k/s
+ml_dsa_65_keygen_mean            96.4 us         96.4 us           32    445.21k       10.3759k/s
+ml_dsa_65_keygen_median          95.8 us         95.8 us           32   445.059k        10.434k/s
+ml_dsa_65_keygen_stddev          1.45 us         1.45 us           32    954.675        153.336/s
+ml_dsa_65_keygen_cv              1.51 %          1.51 %            32      0.21%            1.48%
+ml_dsa_65_keygen_min             95.0 us         95.0 us           32   443.683k       9.92974k/s
+ml_dsa_65_keygen_max              101 us          101 us           32    448.46k       10.5263k/s
+ml_dsa_44_verify/32_mean         63.0 us         63.0 us           32   292.696k        15.879k/s
+ml_dsa_44_verify/32_median       62.7 us         62.7 us           32    293.31k       15.9509k/s
+ml_dsa_44_verify/32_stddev       1.08 us         1.07 us           32   3.13005k        250.737/s
+ml_dsa_44_verify/32_cv           1.71 %          1.71 %            32      1.07%            1.58%
+ml_dsa_44_verify/32_min          62.5 us         62.5 us           32   275.657k       14.5621k/s
+ml_dsa_44_verify/32_max          68.7 us         68.7 us           32    294.23k       15.9932k/s
+ml_dsa_44_keygen_mean            57.3 us         57.3 us           32   265.696k       17.4677k/s
+ml_dsa_44_keygen_median          57.3 us         57.3 us           32   265.677k       17.4477k/s
+ml_dsa_44_keygen_stddev         0.715 us        0.714 us           32   2.68481k        218.859/s
+ml_dsa_44_keygen_cv              1.25 %          1.25 %            32      1.01%            1.25%
+ml_dsa_44_keygen_min             55.7 us         55.7 us           32   260.727k       17.1027k/s
+ml_dsa_44_keygen_max             58.5 us         58.5 us           32    271.89k         17.95k/s
+ml_dsa_87_verify/32_mean          167 us          167 us           32   772.107k       6.00369k/s
+ml_dsa_87_verify/32_median        166 us          166 us           32   772.107k       6.02761k/s
+ml_dsa_87_verify/32_stddev       1.68 us         1.68 us           32   3.49109k        60.0648/s
+ml_dsa_87_verify/32_cv           1.01 %          1.01 %            32      0.45%            1.00%
+ml_dsa_87_verify/32_min           164 us          164 us           32   765.234k       5.84894k/s
+ml_dsa_87_verify/32_max           171 us          171 us           32   777.966k       6.08969k/s
+ml_dsa_87_sign/32_mean            567 us          567 us           32   2.65035M       2.30625k/s
+ml_dsa_87_sign/32_median          450 us          450 us           32   2.10825M        2.2221k/s
+ml_dsa_87_sign/32_stddev          334 us          334 us           32   1.56144M       1.06567k/s
+ml_dsa_87_sign/32_cv            58.84 %         58.84 %            32     58.91%           46.21%
+ml_dsa_87_sign/32_min             260 us          260 us           32   1.21113M        632.573/s
+ml_dsa_87_sign/32_max            1581 us         1581 us           32   7.39516M        3.8513k/s
+ml_dsa_65_verify/32_mean          101 us          101 us           32   470.568k       9.86459k/s
+ml_dsa_65_verify/32_median        101 us          101 us           32   470.285k       9.89717k/s
+ml_dsa_65_verify/32_stddev      0.898 us        0.897 us           32   1.23881k        86.4831/s
+ml_dsa_65_verify/32_cv           0.89 %          0.88 %            32      0.26%            0.88%
+ml_dsa_65_verify/32_min           100 us          100 us           32   468.725k       9.66729k/s
+ml_dsa_65_verify/32_max           103 us          103 us           32   473.467k       9.95904k/s
+ml_dsa_87_keygen_mean             160 us          160 us           32   735.698k       6.23867k/s
+ml_dsa_87_keygen_median           160 us          160 us           32   735.071k       6.24064k/s
+ml_dsa_87_keygen_stddev          2.92 us         2.92 us           32   6.17827k        113.438/s
+ml_dsa_87_keygen_cv              1.82 %          1.82 %            32      0.84%            1.82%
+ml_dsa_87_keygen_min              155 us          155 us           32    723.74k       6.00106k/s
+ml_dsa_87_keygen_max              167 us          167 us           32   748.988k       6.44194k/s
 ```
 
 ## Usage
 
-Dilithium is a header-only C++ library which is fairly easy-to-use. Let's see how to get started using it.
+`ml-dsa` is a header-only C++20 library, mainly targeting 64 -bit desktop/ server grade platforms, which is also pretty easy to use. Let's see how to get started with it.
 
-- Clone Dilithium repository.
+- Clone `ml-dsa` repository.
 
 ```bash
 cd
 
 # Multi-step cloning and importing of submodules
-git clone https://github.com/itzmeanjan/dilithium.git && pushd dilithium && git submodule update --init && popd
+git clone https://github.com/itzmeanjan/ml-dsa.git && pushd ml-dsa && git submodule update --init && popd
 # Or do single step cloning and importing of submodules
-git clone https://github.com/itzmeanjan/dilithium.git --recurse-submodules
-```
-
-- Write a program which makes use of Dilithium{2,3,5} {keygen, signing, verification} API ( all of these routines and constants, representing how many bytes of memory to allocate for holding public/ secret key and signature, live under `dilithium{2,3,5}::` namespace ), while importing proper header file.
-- Finally compile your program, while letting your compiler know where it can find Dilithium ( `./include` ) and Sha3 ( `./sha3/include` ) headers.
-
-```bash
-# Assuming `dilithium` was cloned just under $HOME
-
-DILITHIUM_HEADERS=~/dilithium/include
-SHA3_HEADERS=~/dilithium/sha3/include
-
-g++ -std=c++20 -Wall -Wextra -pedantic -O3 -march=native -I $DILITHIUM_HEADERS -I $SHA3_HEADERS main.cpp
+git clone https://github.com/itzmeanjan/ml-dsa.git --recurse-submodules
+# Or clone and then run tests, which will automatically bring in dependencies
+git clone https://github.com/itzmeanjan/ml-dsa.git && pushd ml-dsa && make -j && popd
 ```
 
-### Dilithium API Usage Flow
+- Write a program which makes use of ML-DSA{44, 65, 87} key generation, signing and verification API ( all of these functions and constants, representing how many bytes of memory to allocate for holding seeds, public/ secret key and signature, live under `ml_dsa_{44,65,87}::` namespace ), while importing proper header files.
 
-Let's walk through an example, where I show you how to use Dilithium key generation, signing ( both deterministic and randomized ) and verification API for Dilithium2 instantiation. It should be pretty similar using other Dilithium instances.
 
-1) Let's begin by generating a Dilithium2 keypair, given 32 -bytes seed.
-
-```cpp
+```c++
 // main.cpp
 
-// In case interested in using Dilithium3 or Dilithium5 API, import "ml_dsa_65.hpp" or "ml_dsa_87.hpp" and use keygen/ sign/ verify functions living either under `ml_dsa_65::` or `ml_dsa_87::` namespace.
+// In case interested in using ML-DSA-65 or ML-DSA-87 API, import "ml_dsa_65.hpp" or "ml_dsa_87.hpp" 
+// and use keygen/ sign/ verify functions living either under `ml_dsa_65::` or `ml_dsa_87::` namespace.
 #include "ml_dsa/ml_dsa_44.hpp"
-#include <array>
 #include "ml_dsa/internals/rng/prng.hpp"
 
 int main() {
-    std::array<uint8_t, 32> seed{};
-    std::array<uint8_t, ml_dsa_44::PubKeyLen> pubkey{};
-    std::array<uint8_t, ml_dsa_44::SecKeyLen> seckey{};
-
-    // Sample seed bytes from PRNG
-    //
-    // Be careful, read API documentation in include/prng.hpp
-    // before you consider using it in production.
+    // --- --- --- Key Generation --- --- ---
+
+    std::array<uint8_t, ml_dsa_44::KeygenSeedByteLen> seed{};
+    std::array<uint8_t, ml_dsa_44::PubKeyByteLen> pubkey{};
+    std::array<uint8_t, ml_dsa_44::SecKeyByteLen> seckey{};
+
+    // PRNG.
+    // Be careful, read API documentation in `ml_dsa/internals/rng/prng.hpp` before you consider using it in production.
     ml_dsa_prng::prng_t<128> prng;
     prng.read(seed);
 
     ml_dsa_44::keygen(seed, pubkey, seckey);
 
-    // ...
+    // --- --- --- Message Signing --- --- ---
 
-    return 0;
-}
-```
+    std::array<uint8_t, ml_dsa_44::SigningSeedByteLen> rnd{};
+    std::array<uint8_t, ml_dsa_44::SigByteLen> sig{};
 
-2) Given a Dilithium2 secret key and non-empty message M, sign it, computing signature.
+    // 32 -bytes randomness, for default and recommended *hedged* message signing.
+    prng.read(rnd);
+    // For deterministic message signing, uncomment following statement, while commenting above statement.
+    // std::fill(rnd.begin(), rnd.end(), 0);
 
-```cpp
-int main() {
-  // Key Generation
-  // ...
+    constexpr size_t msg_byte_len = 32; // message byte length can be >= 0
+    std::array<uint8_t, msg_byte_len> msg{};
 
-  std::array<uint8_t, 32> msg{};
-  std::array<uint8_t, ml_dsa_44::SigLen> sig{};
+    // Sample a psuedo-random message, to be signed.
+    prng.read(msg);
 
-  // Sample a psuedo-random message, to be signed
-  prng.read(msg);
+    ml_dsa_44::sign(rnd, seckey, msg, sig);
 
-  // Default behaviour is deterministic signing and you can safely pass
-  // an empty std::span (i.e. `{}`) for last parameter i.e. random seed.
-  ml_dsa_44::sign(seckey, msg, sig, {});
+    // --- --- --- Signature Verification --- --- ---
 
-  // ...
+    const bool is_valid = ml_dsa_44::verify(pubkey, msg, sig);
+    assert(is_valid);
 
-  return 0;
+    return 0;
 }
 ```
 
-3) In case you're interested in randomized signing, you may explicitly opt in ( at compile-time ) by passing **TRUTH** value for the only template parameter present in `sign` function definition, while also supplying a 64 -bytes uniform sampled random seed, when invoking `sign` procedure.
+- Finally compile your program, while letting your compiler know where it can find `ml-dsa` and its dependency headers.
 
-```cpp
-int main() {
-  // Key Generation
-  // ...
-
-  // Deterministic Signing ( default )
-  // ...
-
-  // 64 -bytes random seed to be used for randomized
-  // message signing. We'll sample random seed bytes using PRNG.
-  std::array<uint8_t, 64> rnd_seed{};
-  prng.read(rnd_seed);
+```bash
+# Assuming `ml-dsa` was cloned just under $HOME
 
-  // You must pass a 64 -bytes random seed when you explicitly opt for randomized signing.
-  ml_dsa_44::sign<true>(seckey, msg, sig, rnd_seed);
+ML_DSA_HEADERS=~/ml-dsa/include
+SHA3_HEADERS=~/ml-dsa/sha3/include
 
-  return 0;
-}
+g++ -std=c++20 -Wall -Wextra -pedantic -O3 -march=native -I $ML_DSA_HEADERS -I $SHA3_HEADERS main.cpp
 ```
 
-4) Verify signature, given public key, message M and the signature itself. It returns boolean truth value in case of successful signature verification otherwise it returns false.
-
-```cpp
-int main() {
-  // Key Generation
-  // ...
-
-  // Deterministic Signing ( default )
-  // ...
+ML-DSA Variant | Namespace | Header
+--- | --- | ---
+ML-DSA-44 Routines | ml_dsa_44:: | include/ml_dsa/ml_dsa_44.hpp
+ML-DSA-65 Routines | ml_dsa_65:: | include/ml_dsa/ml_dsa_65.hpp
+ML-DSA-87 Routines | ml_dsa_87:: | include/ml_dsa/ml_dsa_87.hpp
 
-  // Randomized Signing ( explicit )
-  // ...
-
-  const bool flg = ml_dsa_44::verify(pubkey, msg, sig);
-  assert(flg);
-
-  return 0;
-}
-```
-
-I suggest you look at example [program](./examples/ml_dsa_44.cpp), which demonstrates how to use Dilithium2 API, similarly you can use Dilithium{3,5} API.
+See example [program](./examples/ml_dsa_44.cpp), which demonstrates how to use ML-DSA-44 API, similarly you can use ML-DSA-{65, 87} API.
 
 ```bash
 $ g++ -std=c++20 -Wall -Wextra -pedantic -O3 -march=native -I ./include -I ./sha3/include examples/ml_dsa_44.cpp && ./a.out
-Dilithium @ NIST security level 2
-seed      : e9ae2e74d3bc6e60b4966eb0da2f6d03c0d864ef7b001947d294d64cb90fd8c7
-pubkey    : 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
-seckey    : 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-verified   : true
+ML-DSA-44 @ NIST security level 2
+Seed      : afc6c351c70775e04b4ece579e72400afbb31fe8bad3d1d8ed0ba40526b0d528
+Pubkey    : 0405c237bfd3436898f31ffcd6e3510ca38b6dbe1772943a59ebabb83e7f3400ee064e5f4c63fc7347c4598011a638911e3a0815dc7f11b663006fd8a5871e1ec46d7f6230996c64eb9ae192aba4c5b3fc6cf8cf9b8e2af33ad46f39775c00e2437a5bc6a9f92839c8d09b755f003e5b59f798844965aff3ed2198282d933976a0bb65c62b3f7774f082037c7a23cd632c95765783ee7e95c3a750ab99a0f22aab658e434d60a1d17dd9ab9d37ea1c0b36b856abcf5028551799725bcc39226863f3971c5a9b98f3999c6763b221222e19deb63414e9fc56dad230fbaef157df3f23f9f229aa2bc22b2b445bf464bd5aee24d6b4a8ba1e916fc1e40ba61b405212584246f0888724b4f8f79449d9cb4757a91fd35775d7e08715cfce703fbe7d69cf260e9617601fff3945101934e9a979c47ebd88de30c7c434dfc9e955136063ab01654548bc9767faaaa7dd6bf6d79264217fc8187cc884cf96844d28c63e4334c35b1aa4fa80b37b1ea8a6aae40006112eaed4bfab952adc2621a00b090072108119985bb14485ce9a8193829f8d739081c632e665e9074a43c2f7ebc2207aae38d1b2ab101a09dc4df322c23035fc67258a67d644b12d1674af3ac151f64618f533ea85aedc3308e3d439003ee908e960f846852d61722f11cc24b8dce16a9a857a2fd407d90196558e01c3d32c65aea09acceab6f42a971f44608d67a432616793c57c7cdf4f8a2db115fa0ea14538399246755a3347bb54285b5a11b7f3672949b998f7ca54e7afae23b54babca52302b4318e7fb8c4daa92c9a74dac9c26738e47f4e094075b7a251e375038d9aa7ef821930feac261c83cdd7cde3c5aaeb21a9a17c1812983db7c0c1dba3d7b8a4790d4016b4f1688a75e6273cfbc13c73f5bb6f2ed1e368294ae1cd819877f9a2f91e51d459283a6bceb09ac2c3ba48a53da892082091a896c272aea9036d5045fc30f91384e613f427efd3bebbda5e4fe54b53ec123e048f5739f88bba2507295f476e0ef0208a5ee89845a7be33f269329aa74366ccb89473900367de9a63b3ccd6a88e5e3834b453bb5edf33301acdc2ac1e9884b5dfbf4ca39546062568bb6e58c77fbccf12294a518e624d4d1c2f6d806e4e27582c7756ba6301504af4e755266141f329dd67b4f89155dae840ccbe7cdae96830ff64c24eee30bee5a0ff55c4c8453fe63a75f7a6eb4588def226866c93f656db4c74d25fab26fe1dd07fb0dc1567f1887e63e90a00046f7cc31adf13b4454bae760709cb730e1ac774a7e7642651b4e631e2c10bec32d966fd9671030259c151cd39773381fb10ed25f4397bfc55258d55561f37e1901239cd05016a30fb95953e5644819ae3fc8c2c5df4fb33f6621fb5a8ac2a74b1cc57226b65fb35d3af3030233af845c2b3f78a20056d497352931777cb90350a6de9a4719585b8b5732526621cb77d9b41f3f54d05ee4df1e176c1bc0da781ccf4fa49bd5ec231834cb808b7dd97be8994c38ca1bbf176b9ed159d82d660ebc28511dd63bd4c38ff33cbaf8b15976fdd17f9e94dabeaa6336c2661677405764d25c7fc62f3e367426e286520e2d5be867cd069fcc6d9dd746fd18b76b4c47ab71b7f8218d2f2dfea0d23ef5cbdd3b5503f94f4828ab78a33d180bfcd24600ab51a4a6022df89a781865e3d597adf4a20e9dc5f02ff34ead0aa8baeee79e54c1ac10fc5c0852e82e41860c7b48af16120c977be7522bc9ad66563f74e76956ce6c5031eae8d5ff55964788332ac6971466bc426b82293f81227be20bfcaacd7700fd729c0c25dbeda4097da84b2edd565a49fcb2e8503a90d6fd13a6e17cd4beb322
+Seckey    : 0405c237bfd3436898f31ffcd6e3510ca38b6dbe1772943a59ebabb83e7f340094a5e972e060c891e14abc20bb2c74179a645564e462ef870305b86c9e0a0c0df4c1bef4a9b97b23bbc37e1c11c4e5b7d8c65bacf9ebbcca4ea7b7b09d5261f7399f9ef7160253f6badad2e4ef98bd0e89f980f725438cddecff945e366f6903112270012049db30620b146a41966110160e02b490089281a234881c3786ca983001370180128211982193360a41248520b2841aa16d61165024870d0c3191c48028192630d82672da221140920888288e03a3515c440e62928d1206495920604c8225100152a20208181211109505da046422231221849019964549046c1a266a18c160143524c0260e1bc281db1822030545044124a44251a18091190804c8044edb222edb36810b010a1a92709344129822651b03208210289422814298405a822d83102554966849b69100432d61047052064ea18650a1888cca344cd446210c816d1813910b9145912068e104202391440c8250244705c4428ccb345254860400144983846809a0655a0605481232000086d13020a31002a0228203a2110c0541149105c3c46ccc8650c9165141c064e30446184509083708e4281002999182b0491a9471dac68c14400520918dc0b07121371100854c111386e2166a23c40562c8201ab110194032c832220a976d9bc4301336306226520aa65004242e93266ce2460a8834288b2204913660d808460021018b9648d4269220b36013c34559068103c6019aa488c8960c0cc63150381161146603b7681a22080bc63124822de0202c83c03082c61100c31009008419b5840a49661b032183c251d1b61003152908940984826d9ca44004496ccaa220422228543886cb92710ac180992092d10062832232e4948d94946124122599466c88206652944d43265214998d0a832918206d11094911371290a6844194898a428c60124a60980404479220c8408b000c1aa1048c8444583849d030040a846c98306ec9b25189042e89c6208ab0211a25045244311b086a19229284023181822d1840518ca450db0646dc304459a204d21689d30061a2484ec8906122468104216d248048c344729bc06498048c522425c11200c436321bb06401170604390512a804d1266058226809a5888932300118021183495132490c09291a270420868001022002a040223241dc06221aa74d8cc8451ca9250a360ec09605d9a850d9462e6388710ba365149381022288eee511767dcd290bf6ee1519b9307c1deaf3331a49cd9f6a1335c0ed950974a87c2479bfe27dd681bc72836535914d75d0a715a6ed8fd58a5cae45b89550e486c6ab80e73e687f5c865a72c35f63d3a7116f417258645268ed26723127d2724fe5ff65db9a41ff1a13cfc4f6b182e932a0ef3f2cb5375bfd9bb0c602ace85ab7b85bec9f3368195cbc11b105eacd4f0c1da51653bb1b0cfbd4ce9c4670524bc735c02686c8fd2190c6cd0de7dda55cb90193d983ad33b589caa23ef051a5d3aaf23661e045f9e143ac3a2abef34aeac67d8ffb86d37db855b4477f9dae2b221c4e5f4bf8f591cf3f42e3a06acff9b70d06c90f7a3710e453f68c4afa12701255053a9658d9c6dfaf22e3943b33299c4708d8f24283cfd2ded96f5bbf6b7c0e9e1a8b7bea9273db4d8dffcca213e447e59a1f66bbe57741161bcd558f902c31715664608b67ef5aa44ff0cbbd4e6b2afbafb437719d5e5d3b04281ee8ed32fc6c00a502190007e85e843bca59ca0cd21ee269bce56cf15793c61d30f89840b3c39c6a5b5385773f76d24410cc6f080e766e841d0bc458103bbe4a89fedb3a755489032ac63441217984777476fbb5766cd4f9abbc46a0b0e899a968a7d20492c434c69b98ac3f888af7a186c29ee08b66659e9fbab15814d277e1b4b60c1ab83650646128a894552598e129c0d6bd3cd09636460144200d8c2f28331e17665c32fe20870eab70f3e439af45831b09a7dba48d0ec044836e29b830c4243e490a3a1f0a6e027123b8132d7653c24f3c7e7cea4ef624ca932324be4665fe441550108ffc025ebfbb9e097ab3a40f7a50f70d9c84d4c096d8e9e5906969a847db65f1ca313731f311a75ee84a7c33319c2444cc6f2b9a6907a2778d0dbd0b6c029042b2f3b179dc0c0bbb15413e68c3a5432eae76edc0fab8c0aac7ebf0cb9a8affe8ddc698729344642573b83934ecd46202bbe5bafba7cf69322fd4789f9db7ffd6a8a26e011ba1a3e13d36962f9f99661140c0dbee5d493686a57de3c4911094224d51e6f4cc1ff6e5de7817f8a7a2f0bd72d048f4f394868dc5aee4afbec2c5e90dcbeaff20d86edf496fc945818a4ce0e435f6d44c20d8b0d62ccfd611f184dcd4041ed74625a15b318850b82934ff5f2c8f76eb0568ae2885bef1660ef7385c70666fcce0c3f153da8e031ab05f3af2828c2d62a465cc2d02a0771a68898c2df7c3ccec26305694a665f0384ac42fa48f4f5e4bc473aaccb80f5da9e1e868bc0284c91f7fe8e1f0195066f05cdb1dac6d56a10c2323069f0765005c4d68e96e0b06ad8955f7f3a7d3ccf5f537a6aea40f7c9d7f4a9d17a0b7022ad79322a3b4aee04e8a7ea8bc70dbba245c4e1c1a74248c36df727c7349f09a392daaacd2190fd743cdd3fde0d6ddb6766734ac73c13434441f65713764458360fb905ac9ddbc0a151cde4938ad24ffb3c4fec13152e6937014c121001b4531d92898bc10d2881815080c50f120e1ca69033b302df5badbe5c7d8a7300cf8af1a1505d4d8ffde676eaf2125652e84407da961bfbf11382bde35f3bbd2a74d1b52424b95c76fbb71054263915812876583ebe748786445f4a7a88ea544e29216621daf16a2de80fc9c99b9b1128ae8b6a74914ffafd25ac6c2d33bf1d2e856e10c3c47741d2646ec5b1947d9371fa2fd824fe3593142bb6561d35a26b7ec23b28f922bbe73999ce80abff40847bdb8efe0e281b2aa2f15c9ad3712f243cc8dd6c157e4669d7f11d827e3c6920b91a5d27dd7137ec78aa54c6c7ff101064a3e86dd3ae1fcf8900c39cb8d13deb9345bb070752c08170bc9153037f21e4b5a9239ea1efb484745d42a8136e5fb52a3a9bebf1873af39854f0e377e7cb178183a3ed9d9a2f2a99056b0a05c03cd95c49fdad85f981b15376f01237e25ed77f5d66ed5da2c5d76814b9c16b2f177612241509cb71deb5d499335c15e8ba7472d648b1bfc316f77ad7e51cfed3e48d95395bebcf7cfdae63c22793b86955708f39dc6d219d11dfda22d799bbb577e6eb33ce827f99dbdf2759995a1534e4ca186ca4048c401dd531f360fb2f3b3ba114fd67a7f30a7f31e7596bcf104327165572f98decf5df3e3ab62dc7b6ee08aafe8eefc710ec5fb11ff640dacb6cd19a112b1551c26f6c04b976f1020b4dce029489aa47ec5487eb5d4912902ece656f9ddb313557560c2ca016740b8dfa651ebd26233b9150c9ceb8706fa404a61b80ae2a1b89741c5b133ef9424a828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+Message   : 8a556fe4a5e29a37e80f2ad8f3f8679f1cd3f22b1532bd171373f76aa1402158
+Signature : 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
+Verified   : true
 ```
 
-
-
 > [!CAUTION]
-> Before you consider using Psuedo Random Number Generator which comes with this library implementation, I strongly advice you to go through [include/prng.hpp](./include/prng.hpp).
+> Before you consider using Psuedo Random Number Generator which comes with this library implementation, I strongly advice you to go through [include/ml_dsa/internals/rng/prng.hpp](./include/ml_dsa/internals/rng/prng.hpp).
 
 > [!NOTE]
-> Looking at the API documentation, in header files, can give you a good idea of how to use Dilithium API. Note, this library doesn't expose any raw pointer based interface, rather everything is wrapped under statically defined `std::span` - which one can easily create from `std::{array, vector}`. I opt for using statically defined `std::span` based function interfaces because we always know, at compile-time, how many bytes the seeds/ keys/ signatures are, for various different Dilithium instantiations. *This gives much better type safety and compile-time error reporting.*
+> Looking at the API documentation, in header files i.e. `include/ml_dsa/ml_dsa_{44,65,87}.hpp`, can give you a good idea of how to use ML-DSA API. Note, this library doesn't expose any raw pointer -based interface, rather *almost* everything is wrapped under statically defined `std::span` - which one can easily create from `std::{array, vector}`. I opt for using statically defined `std::span` -based function interfaces, because we always know, at compile-time, how many bytes the seeds/ keys/ signatures are, for various different ML-DSA instantiations. *This gives much better type safety and compile-time error reporting.*