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The theory of error-correcting codes stems from Shannon's 1948 _A mathematical theory of communication_, and from Hamming's 1950 "Error detecting and error correcting codes".

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Finding which Niemeier lattice a given basis corresponds to

This question is inspired by this post. A good answer to this question might help answer the linked post as well. Question: Given a $24\times24$ matrix corresponding to an even, self-dual lattice in …