A characterization of designs related to an extremal doubly-even self-dual code of length 48

Masaaki Harada, Akihiro Munemasa, Vladimir D. Tonchev

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The uniqueness of a binary doubly-even self-dual [48, 24, 12] code is used to prove that a self-orthogonal 5-(48, 12, 8) design, as well as some of its derived and residual designs, including a quasi-symmetric 2-(45, 9, 8) design, are all unique up to isomorphism.

Original languageEnglish
Pages (from-to)189-198
Number of pages10
JournalAnnals of Combinatorics
Volume9
Issue number2
DOIs
Publication statusPublished - 2005 Jul 1

Keywords

  • Extremal selfdual code
  • Quasi-symmetric design
  • Self-orthogonal code
  • Self-orthogonal design

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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