Title :
A simple derivation of the MacWilliams´ identity for linear codes (Corresp.)
Author :
Chang, S.C. ; Wolf, Jack K.
fDate :
7/1/1980 12:00:00 AM
Abstract :
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.
Keywords :
Dual codes; Linear codes; Algorithm design and analysis; Contracts; Decoding; Error correction codes; Fourier transforms; Hamming weight; Linear code; Parity check codes; Security; Vocoders;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1980.1056212