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

9 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

Access to Document

10.1016/j.jcta.2004.03.005

Cite this

@article{2530ad181f114670bf2ac362de8fcc21,

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.",

keywords = "Binary code, Self-dual code, Self-orthogonal design",

author = "Masaaki Harada and Masaaki Kitazume and Akihiro Munemasa",

year = "2004",

month = jul,

doi = "10.1016/j.jcta.2004.03.005",

language = "English",

volume = "107",

pages = "143--146",

journal = "Journal of Combinatorial Theory - Series A",

issn = "0097-3165",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - On a 5-design related to an extremal doubly even self-dual code of length 72

AU - Harada, Masaaki

AU - Kitazume, Masaaki

AU - Munemasa, Akihiro

PY - 2004/7

Y1 - 2004/7

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

UR - http://www.scopus.com/inward/record.url?scp=3242701660&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3242701660&partnerID=8YFLogxK

U2 - 10.1016/j.jcta.2004.03.005

DO - 10.1016/j.jcta.2004.03.005

M3 - Article

AN - SCOPUS:3242701660

VL - 107

SP - 143

EP - 146

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

SN - 0097-3165

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this