On a 5-design related to an extremal doubly even self-dual code of length 72

Masaaki Harada; Masaaki Kitazume; Akihiro Munemasa

doi:10.1016/j.jcta.2004.03.005

On a 5-design related to an extremal doubly even self-dual code of length 72

Masaaki Harada, Masaaki Kitazume, Akihiro Munemasa

INF - Computer and Mathematical Sciences

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

7 Citations (Scopus)

Abstract

It is shown that if there is a self-orthogonal 5-(72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72. In other words, a putative extremal doubly even self-dual code of length 72 is generated by the codewords of minimum weight.

Original language	English
Pages (from-to)	143-146
Number of pages	4
Journal	Journal of Combinatorial Theory. Series A
Volume	107
Issue number	1
DOIs	https://doi.org/10.1016/j.jcta.2004.03.005
Publication status	Published - 2004 Jul

Keywords

Binary code
Self-dual code
Self-orthogonal design

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/j.jcta.2004.03.005

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title = "On a 5-design related to an extremal doubly even self-dual code of length 72",

abstract = "It is shown that if there is a self-orthogonal 5-(72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72. In other words, a putative extremal doubly even self-dual code of length 72 is generated by the codewords of minimum weight.",

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AU - Harada, Masaaki

AU - Kitazume, Masaaki

AU - Munemasa, Akihiro

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N2 - It is shown that if there is a self-orthogonal 5-(72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72. In other words, a putative extremal doubly even self-dual code of length 72 is generated by the codewords of minimum weight.

AB - It is shown that if there is a self-orthogonal 5-(72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72. In other words, a putative extremal doubly even self-dual code of length 72 is generated by the codewords of minimum weight.

KW - Binary code

KW - Self-dual code

KW - Self-orthogonal design

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On a 5-design related to an extremal doubly even self-dual code of length 72

Abstract

Keywords

ASJC Scopus subject areas

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