Error correction bounds

Minimum distance d permits correcting up to floor((d-1)/2) arbitrary symbol errors.

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Hamming distance
Hamming distance counts differing positions between equal-length strings.
Parity checks
A parity-check matrix produces a syndrome that diagnoses violations of code constraints.
Channel capacity
Capacity bounds achievable reliable information rates for a specified channel model.
Conditional entropy
Conditional entropy averages remaining uncertainty after another variable is observed.
Huffman coding
A greedy merging procedure builds an optimal binary prefix code for given symbol probabilities.