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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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Binary codes with upper and lower bound on pairwise distance

Instead of $\{0,1\}^n$, you may take as your code space a subset $S\subseteq\{0,1\}^n$ of diameter $D$. This will guarantee that, whatever code you define in $S$, its codewords will be at distance $\l …
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