diff --git a/src/qos_crypto/src/shamir.rs b/src/qos_crypto/src/shamir.rs index 22389823..f535c69b 100644 --- a/src/qos_crypto/src/shamir.rs +++ b/src/qos_crypto/src/shamir.rs @@ -8,146 +8,6 @@ use vsss_rs::Gf256; use crate::QosCryptoError; -// lookup tables for log and exp of polynomials in GF(256), -#[rustfmt::skip] -const GF256_LOG: [u8; 256] = [ - 0xff, 0x00, 0x19, 0x01, 0x32, 0x02, 0x1a, 0xc6, - 0x4b, 0xc7, 0x1b, 0x68, 0x33, 0xee, 0xdf, 0x03, - 0x64, 0x04, 0xe0, 0x0e, 0x34, 0x8d, 0x81, 0xef, - 0x4c, 0x71, 0x08, 0xc8, 0xf8, 0x69, 0x1c, 0xc1, - 0x7d, 0xc2, 0x1d, 0xb5, 0xf9, 0xb9, 0x27, 0x6a, - 0x4d, 0xe4, 0xa6, 0x72, 0x9a, 0xc9, 0x09, 0x78, - 0x65, 0x2f, 0x8a, 0x05, 0x21, 0x0f, 0xe1, 0x24, - 0x12, 0xf0, 0x82, 0x45, 0x35, 0x93, 0xda, 0x8e, - 0x96, 0x8f, 0xdb, 0xbd, 0x36, 0xd0, 0xce, 0x94, - 0x13, 0x5c, 0xd2, 0xf1, 0x40, 0x46, 0x83, 0x38, - 0x66, 0xdd, 0xfd, 0x30, 0xbf, 0x06, 0x8b, 0x62, - 0xb3, 0x25, 0xe2, 0x98, 0x22, 0x88, 0x91, 0x10, - 0x7e, 0x6e, 0x48, 0xc3, 0xa3, 0xb6, 0x1e, 0x42, - 0x3a, 0x6b, 0x28, 0x54, 0xfa, 0x85, 0x3d, 0xba, - 0x2b, 0x79, 0x0a, 0x15, 0x9b, 0x9f, 0x5e, 0xca, - 0x4e, 0xd4, 0xac, 0xe5, 0xf3, 0x73, 0xa7, 0x57, - 0xaf, 0x58, 0xa8, 0x50, 0xf4, 0xea, 0xd6, 0x74, - 0x4f, 0xae, 0xe9, 0xd5, 0xe7, 0xe6, 0xad, 0xe8, - 0x2c, 0xd7, 0x75, 0x7a, 0xeb, 0x16, 0x0b, 0xf5, - 0x59, 0xcb, 0x5f, 0xb0, 0x9c, 0xa9, 0x51, 0xa0, - 0x7f, 0x0c, 0xf6, 0x6f, 0x17, 0xc4, 0x49, 0xec, - 0xd8, 0x43, 0x1f, 0x2d, 0xa4, 0x76, 0x7b, 0xb7, - 0xcc, 0xbb, 0x3e, 0x5a, 0xfb, 0x60, 0xb1, 0x86, - 0x3b, 0x52, 0xa1, 0x6c, 0xaa, 0x55, 0x29, 0x9d, - 0x97, 0xb2, 0x87, 0x90, 0x61, 0xbe, 0xdc, 0xfc, - 0xbc, 0x95, 0xcf, 0xcd, 0x37, 0x3f, 0x5b, 0xd1, - 0x53, 0x39, 0x84, 0x3c, 0x41, 0xa2, 0x6d, 0x47, - 0x14, 0x2a, 0x9e, 0x5d, 0x56, 0xf2, 0xd3, 0xab, - 0x44, 0x11, 0x92, 0xd9, 0x23, 0x20, 0x2e, 0x89, - 0xb4, 0x7c, 0xb8, 0x26, 0x77, 0x99, 0xe3, 0xa5, - 0x67, 0x4a, 0xed, 0xde, 0xc5, 0x31, 0xfe, 0x18, - 0x0d, 0x63, 0x8c, 0x80, 0xc0, 0xf7, 0x70, 0x07, -]; - -#[rustfmt::skip] -const GF256_EXP: [u8; 2*255] = [ - 0x01, 0x03, 0x05, 0x0f, 0x11, 0x33, 0x55, 0xff, - 0x1a, 0x2e, 0x72, 0x96, 0xa1, 0xf8, 0x13, 0x35, - 0x5f, 0xe1, 0x38, 0x48, 0xd8, 0x73, 0x95, 0xa4, - 0xf7, 0x02, 0x06, 0x0a, 0x1e, 0x22, 0x66, 0xaa, - 0xe5, 0x34, 0x5c, 0xe4, 0x37, 0x59, 0xeb, 0x26, - 0x6a, 0xbe, 0xd9, 0x70, 0x90, 0xab, 0xe6, 0x31, - 0x53, 0xf5, 0x04, 0x0c, 0x14, 0x3c, 0x44, 0xcc, - 0x4f, 0xd1, 0x68, 0xb8, 0xd3, 0x6e, 0xb2, 0xcd, - 0x4c, 0xd4, 0x67, 0xa9, 0xe0, 0x3b, 0x4d, 0xd7, - 0x62, 0xa6, 0xf1, 0x08, 0x18, 0x28, 0x78, 0x88, - 0x83, 0x9e, 0xb9, 0xd0, 0x6b, 0xbd, 0xdc, 0x7f, - 0x81, 0x98, 0xb3, 0xce, 0x49, 0xdb, 0x76, 0x9a, - 0xb5, 0xc4, 0x57, 0xf9, 0x10, 0x30, 0x50, 0xf0, - 0x0b, 0x1d, 0x27, 0x69, 0xbb, 0xd6, 0x61, 0xa3, - 0xfe, 0x19, 0x2b, 0x7d, 0x87, 0x92, 0xad, 0xec, - 0x2f, 0x71, 0x93, 0xae, 0xe9, 0x20, 0x60, 0xa0, - 0xfb, 0x16, 0x3a, 0x4e, 0xd2, 0x6d, 0xb7, 0xc2, - 0x5d, 0xe7, 0x32, 0x56, 0xfa, 0x15, 0x3f, 0x41, - 0xc3, 0x5e, 0xe2, 0x3d, 0x47, 0xc9, 0x40, 0xc0, - 0x5b, 0xed, 0x2c, 0x74, 0x9c, 0xbf, 0xda, 0x75, - 0x9f, 0xba, 0xd5, 0x64, 0xac, 0xef, 0x2a, 0x7e, - 0x82, 0x9d, 0xbc, 0xdf, 0x7a, 0x8e, 0x89, 0x80, - 0x9b, 0xb6, 0xc1, 0x58, 0xe8, 0x23, 0x65, 0xaf, - 0xea, 0x25, 0x6f, 0xb1, 0xc8, 0x43, 0xc5, 0x54, - 0xfc, 0x1f, 0x21, 0x63, 0xa5, 0xf4, 0x07, 0x09, - 0x1b, 0x2d, 0x77, 0x99, 0xb0, 0xcb, 0x46, 0xca, - 0x45, 0xcf, 0x4a, 0xde, 0x79, 0x8b, 0x86, 0x91, - 0xa8, 0xe3, 0x3e, 0x42, 0xc6, 0x51, 0xf3, 0x0e, - 0x12, 0x36, 0x5a, 0xee, 0x29, 0x7b, 0x8d, 0x8c, - 0x8f, 0x8a, 0x85, 0x94, 0xa7, 0xf2, 0x0d, 0x17, - 0x39, 0x4b, 0xdd, 0x7c, 0x84, 0x97, 0xa2, 0xfd, - 0x1c, 0x24, 0x6c, 0xb4, 0xc7, 0x52, 0xf6, - - 0x01, 0x03, 0x05, 0x0f, 0x11, 0x33, 0x55, 0xff, - 0x1a, 0x2e, 0x72, 0x96, 0xa1, 0xf8, 0x13, 0x35, - 0x5f, 0xe1, 0x38, 0x48, 0xd8, 0x73, 0x95, 0xa4, - 0xf7, 0x02, 0x06, 0x0a, 0x1e, 0x22, 0x66, 0xaa, - 0xe5, 0x34, 0x5c, 0xe4, 0x37, 0x59, 0xeb, 0x26, - 0x6a, 0xbe, 0xd9, 0x70, 0x90, 0xab, 0xe6, 0x31, - 0x53, 0xf5, 0x04, 0x0c, 0x14, 0x3c, 0x44, 0xcc, - 0x4f, 0xd1, 0x68, 0xb8, 0xd3, 0x6e, 0xb2, 0xcd, - 0x4c, 0xd4, 0x67, 0xa9, 0xe0, 0x3b, 0x4d, 0xd7, - 0x62, 0xa6, 0xf1, 0x08, 0x18, 0x28, 0x78, 0x88, - 0x83, 0x9e, 0xb9, 0xd0, 0x6b, 0xbd, 0xdc, 0x7f, - 0x81, 0x98, 0xb3, 0xce, 0x49, 0xdb, 0x76, 0x9a, - 0xb5, 0xc4, 0x57, 0xf9, 0x10, 0x30, 0x50, 0xf0, - 0x0b, 0x1d, 0x27, 0x69, 0xbb, 0xd6, 0x61, 0xa3, - 0xfe, 0x19, 0x2b, 0x7d, 0x87, 0x92, 0xad, 0xec, - 0x2f, 0x71, 0x93, 0xae, 0xe9, 0x20, 0x60, 0xa0, - 0xfb, 0x16, 0x3a, 0x4e, 0xd2, 0x6d, 0xb7, 0xc2, - 0x5d, 0xe7, 0x32, 0x56, 0xfa, 0x15, 0x3f, 0x41, - 0xc3, 0x5e, 0xe2, 0x3d, 0x47, 0xc9, 0x40, 0xc0, - 0x5b, 0xed, 0x2c, 0x74, 0x9c, 0xbf, 0xda, 0x75, - 0x9f, 0xba, 0xd5, 0x64, 0xac, 0xef, 0x2a, 0x7e, - 0x82, 0x9d, 0xbc, 0xdf, 0x7a, 0x8e, 0x89, 0x80, - 0x9b, 0xb6, 0xc1, 0x58, 0xe8, 0x23, 0x65, 0xaf, - 0xea, 0x25, 0x6f, 0xb1, 0xc8, 0x43, 0xc5, 0x54, - 0xfc, 0x1f, 0x21, 0x63, 0xa5, 0xf4, 0x07, 0x09, - 0x1b, 0x2d, 0x77, 0x99, 0xb0, 0xcb, 0x46, 0xca, - 0x45, 0xcf, 0x4a, 0xde, 0x79, 0x8b, 0x86, 0x91, - 0xa8, 0xe3, 0x3e, 0x42, 0xc6, 0x51, 0xf3, 0x0e, - 0x12, 0x36, 0x5a, 0xee, 0x29, 0x7b, 0x8d, 0x8c, - 0x8f, 0x8a, 0x85, 0x94, 0xa7, 0xf2, 0x0d, 0x17, - 0x39, 0x4b, 0xdd, 0x7c, 0x84, 0x97, 0xa2, 0xfd, - 0x1c, 0x24, 0x6c, 0xb4, 0xc7, 0x52, 0xf6, -]; - -/// Multiply in GF(256). -fn gf256_mul(a: u8, b: u8) -> u8 { - if a == 0 || b == 0 { - 0 - } else { - GF256_EXP[usize::from(GF256_LOG[usize::from(a)]) - + usize::from(GF256_LOG[usize::from(b)])] - } -} - -/// Divide in GF(256)/ -fn gf256_div(a: u8, b: u8) -> u8 { - // multiply a against inverse b - gf256_mul(a, GF256_EXP[usize::from(255 - GF256_LOG[usize::from(b)])]) -} - -/// Find f(0) using Lagrange interpolation. -fn gf256_interpolate(xs: &[u8], ys: &[u8]) -> u8 { - assert!(xs.len() == ys.len()); - let mut y = 0u8; - for (i, (x0, y0)) in xs.iter().zip(ys).enumerate() { - let mut li = 1u8; - for (j, (x1, _y1)) in xs.iter().zip(ys).enumerate() { - if i != j { - li = gf256_mul(li, gf256_div(*x1, *x0 ^ *x1)); - } - } - - y ^= gf256_mul(li, *y0); - } - - y -} - /// Generate `share_count` shares requiring `threshold` shares to reconstruct. /// /// Known limitations: