Some self-dual codes invariant under the Hall-Janko group

Naoki Chigira, Masaaki Harada, Masaaki Kitazume

Research output: Contribution to journalArticlepeer-review

Abstract

We construct self-dual codes of length 100 invariant under the Hall-Janko group J2. We also construct a 2-(100, 22, 168) design with the automorphism group J2 : 2, which is the extension of J2 by its outer automorphism.

Original languageEnglish
Pages (from-to)578-590
Number of pages13
JournalJournal of Algebra
Volume316
Issue number2
DOIs
Publication statusPublished - 2007 Oct 15

Keywords

  • 2-Design
  • Automorphism group
  • Hall-Janko group
  • Rank 3 graph
  • Self-dual code

ASJC Scopus subject areas

  • Algebra and Number Theory

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