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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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Computing channel capacities for non-symmetric channels

Given a memoryless ergodic channel $P(Y|X)$, the Shannon capacity of that channel $C$ is given by $C = \max_{p(x)} I(X;Y)$ where $I(\cdot,\cdot)$ is the mutual information and the maximization is over …
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