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On the minimum distance of cyclic codes

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2 Author(s)

The main result is a new lower bound for the minimum distance of cyclic codes that includes earlier bounds (i.e., BCH bound, HT bound, Roos bound). This bound is related to a second method for bounding the minimum distance of a cyclic code, which we call shifting. This method can be even stronger than the first one. For all binary cyclic codes of length< 63(with two exceptions), we show that our methods yield the true minimum distance. The two exceptions at the end of our list are a code and its even-weight subcode. We treat several examples of cyclic codes of lengthgeq 63.

Published in:

Information Theory, IEEE Transactions on  (Volume:32 ,  Issue: 1 )

Date of Publication:

Jan 1986

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