Near-Extremal Formally Self-Dual Even Codes of Lengths 24 and 32
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The weight enumerator of a formally self-dual even code is obtained by the Gleason theorem. Recently, Kim and Pless gave some restrictions on the possible weight enumerators of near-extremal formally self-dual even codes of length divisible by eight. In this paper, the weight enumerators for which there is a near-extremal formally self-dual even code are completely determined for lengths 24 and 32, by constructing new near-extremal formally self-dual codes. We also give a classification of near- extremal double circulant codes of lengths 24 and 32.
KeywordsFormally self-dual even codes weight enumerators
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- J.-L. Kim and V. Pless, A note on formally self-dual even codes of length divisible by 8, preprint.Google Scholar