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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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Known results about maximum size of a code with minimum hamming distance K

Let $W(r,n)$ be the set of all words of length $r$ on $n$ letters. For two words $a,b \in W(r,n)$ define the Hamming distance $d(a,b)$ as the number of places that they have different letters. Let …
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