Extremal Type II Z4-codes of lengths 56 and 64

Masaaki Harada

doi:10.1016/j.jcta.2009.09.003

Extremal Type II Z₄-codes of lengths 56 and 64

Masaaki Harada

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Type II Z₄-codes are a remarkable class of self-dual Z₄-codes. A Type II Z₄-code of length n exists if and only if n is divisible by eight. For lengths up to 48, extremal Type II Z₄-codes are known. In this note, extremal Type II Z₄-codes of lengths 56 and 64 are constructed for the first time.

Original language	English
Pages (from-to)	1285-1288
Number of pages	4
Journal	Journal of Combinatorial Theory - Series A
Volume	117
Issue number	8
DOIs	https://doi.org/10.1016/j.jcta.2009.09.003
Publication status	Published - 2010 Nov

Keywords

Extremal code
Self-dual code
Type II code

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10.1016/j.jcta.2009.09.003

Cite this

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abstract = "Type II Z4-codes are a remarkable class of self-dual Z4-codes. A Type II Z4-code of length n exists if and only if n is divisible by eight. For lengths up to 48, extremal Type II Z4-codes are known. In this note, extremal Type II Z4-codes of lengths 56 and 64 are constructed for the first time.",

keywords = "Extremal code, Self-dual code, Type II code",

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doi = "10.1016/j.jcta.2009.09.003",

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AB - Type II Z4-codes are a remarkable class of self-dual Z4-codes. A Type II Z4-code of length n exists if and only if n is divisible by eight. For lengths up to 48, extremal Type II Z4-codes are known. In this note, extremal Type II Z4-codes of lengths 56 and 64 are constructed for the first time.

KW - Extremal code

KW - Self-dual code

KW - Type II code

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Extremal Type II Z₄-codes of lengths 56 and 64

Abstract

Keywords

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