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On t-constant codes and designs (Corresp.)

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LetCbe a binary code containing the zero word, with fundamental parametersd,s,d', ands, and lettbe a nonnegative integer such that the words of any fixed weight ofCform at-design, withtmaximal in this respect. It is shown thatt geq max(d-s',d'-s). Moreover, ifCcontains the all one word, thent geq d'- s+1and ifCis an even weight code thent geq d - s' + 1. Finally, the following inequality is derived:d'-s < d, provided thatd>2.

Published in:

Information Theory, IEEE Transactions on  (Volume:27 ,  Issue: 5 )

Date of Publication:

Sep 1981

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