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

Masaaki Harada, Masaaki Kitazume, Akihiro Munemasa

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)143-146
Number of pages4
JournalJournal of Combinatorial Theory. Series A
Volume107
Issue number1
DOIs
Publication statusPublished - 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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