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Let $\bf A$ be an $n \times n$ binary matrix. Let we want to check that whether $\bf A$ is an MDS matrix over the finite field $\mathbb{F}_{2^k}$ for some $k$? The necessary condition is that $k\mid n$ which means $n=km$ for some integer $m$. Now Let $\bf A$ be $km \times km$ binary matrix. The first step is that to consider the matrix $\bf A$ as a block ...


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