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

T. Aaron Gulliver, Masaaki Harada

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)403-415
ページ数13
ジャーナルApplicable Algebra in Engineering, Communications and Computing
30
5
DOI
出版ステータスPublished - 2019 11 1

ASJC Scopus subject areas

  • 代数と数論
  • 応用数学

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