From 008cbf41a46681ba7dddf521123f2e237fa05d0e Mon Sep 17 00:00:00 2001
From: Madhav Goyal <88841339+hydrogenbond007@users.noreply.github.com>
Date: Wed, 5 Jul 2023 12:12:11 +0530
Subject: [PATCH] Fixed Latex rendering

---
 p2p/shred.md | 12 +++++++++---
 1 file changed, 9 insertions(+), 3 deletions(-)

diff --git a/p2p/shred.md b/p2p/shred.md
index d65f0b9..d515a53 100644
--- a/p2p/shred.md
+++ b/p2p/shred.md
@@ -312,7 +312,8 @@ When using Merkle authentication,
 the interpretation of "data shred" used for erasure coding begins immediately after the signature field
 and ends immediately before the Merkle proof section.
 
-Let $x_{i,b}$ be the $b$-th byte of the $i$-th data shred of the FEC set (numbered $0, 1, \ldots, N-1$) interpreted as an element of the finite field $GF(2^8)$ (i.e. $\mathbb{F}_2[\gamma] / (\gamma^8 + \gamma^4 + \gamma^3 + \gamma^2 + 1)$).
+Let $x_{i,b}$ be the $b$-th byte of the $i$-th data shred of the FEC set (numbered $0, 1, \ldots, N-1$) interpreted as an element of the finite field $GF(2^8)$ (i.e. 
+ $\mathbb{F}_2[\gamma] / (\gamma^8 + \gamma^4 + \gamma^3 + \gamma^2 + 1)$
 
 Taking one $b$ at a time, define the polynomial $P_b(x)$ of order less than $N$ such that $P_b(i) = x_i$ for all $0\le i < N$ (interpreting the byte value of $i$ as an element of $GF(2^8)$).
 This polynomial is unique.
@@ -322,7 +323,8 @@ More precisely, let $y_{j,b}$ be the $b$-th byte of the $j$-th code shred for $0
 Then $y_{j,b} = P_b(N+j)$, where $N+j$ is computed as an integer and then interpreted as an element of $GF(2^8)$.
 
 Equivalently, this is a linear operation, so it can also be described as a matrix-vector product over $GF(2^8)$:
-$$ M \left( \begin{array}{c}
+$$
+M \left( \begin{array}{c}
 x_{0,b} \\
 x_{1,b} \\
 \vdots \\
@@ -330,7 +332,11 @@ x_{N-1,b}  \end{array} \right) = \left( \begin{array}{c}
 y_{0,b} \\
 y_{1,b} \\
 \vdots \\
-y_{K-1,b}  \end{array} \right).$$
+y_{K-1,b}  \end{array} \right)
+$$
+![image](https://github.com/solana-foundation/specs/assets/88841339/88db191a-8e0d-400e-88bc-f8b2ff2c3644)
+
+
 
 The matrix $M$ depends only on $N$ and $K$.
 There are various ways to compute $M$, but one description is