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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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Optimal binary code for points in a metric+probability space

Does anyone know of any results on this topic? Basically I'm considering this problem. You have some space $X$ from which you can draw points $x$ and $y$, a distance metric $d(x,y)$, and a sigma-alge …
Ian Goodfellow's user avatar