On extremal double circulant self-dual codes of lengths 90–96

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticle

Abstract

A classification of extremal double circulant self-dual codes of lengths up to 88 is known. We extend this classification to length 96. We give a classification of extremal double circulant self-dual codes of lengths 90, 92, 94 and 96. We also classify double circulant self-dual codes with parameters [90, 45, 14] and [96, 48, 16]. In addition, we demonstrate that no double circulant self-dual [90, 45, 14] code has an extremal self-dual neighbor, and no double circulant self-dual [96, 48, 16] code has a self-dual neighbor with minimum weight at least 18.

Original languageEnglish
Pages (from-to)403-415
Number of pages13
JournalApplicable Algebra in Engineering, Communications and Computing
Volume30
Issue number5
DOIs
Publication statusPublished - 2019 Nov 1

Keywords

  • Double circulant code
  • Extremal self-dual code
  • Self-dual code

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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