IEEE Transactions on Information Theory · 1980 · 30 citations · 2 references
EngineeringComputer ScienceMathematicsCryptographyInformation TheoryProbability TheoryChannel CodingCoding TheoryError Control CodingError-correcting CodesLinear Block CodesLinear CodesWeight Distribution
A simple derivation is given of the MacWilliams' identity relating the weight distribution of the codewords in a linear code and the weight distribution of the dual code. The derivation is based upon elementary probabilistic arguments.
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Shojiro Sakata · IEICE ESS FUNDAMENTALS REVIEW · 2008 · 353 citations