Notes: Extremal Type II Z4-codes of lengths 56 and 64

Authors:
Masaaki Harada
Affiliations:
Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan and PRESTO, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan
Venue:
Journal of Combinatorial Theory Series A
Year:
2010

Citing 5
Cited 1

Self-dual codes over the integers modulo 4

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All Z4 codes of type II and length 16 are known

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Abstract

Type II Z"4-codes are a remarkable class of self-dual Z"4-codes. A Type II Z"4-code of length n exists if and only if n is divisible by eight. For lengths up to 48, extremal Type II Z"4-codes are known. In this note, extremal Type II Z"4-codes of lengths 56 and 64 are constructed for the first time.