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Decomposition of cyclic codes of block lengths 3p, 5p, 7p (Corresp.)

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V. K. Bhargava recently made the following suggestion. LetChe a cyclic code of dimensionp, and block lengthn, wheren = tp, pis a prime. It is sometimes possible to find a code equivalent toCwhich has a generator matrix of the form[I|A_{1}| cdots |A_{t-1}]where eachA_{i}is ap times pcirculant matrix. Such a decomposition is useful in encoding and decoding and also in finding the weight distribution ofC. Some general theory as to

Published in:

Information Theory, IEEE Transactions on  (Volume:25 ,  Issue: 1 )

Date of Publication:

Jan 1979

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