Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant singly-even codes given have weight enumerators for which extremal codes were not previously known to exist.

Original languageEnglish
Pages (from-to)257-269
Number of pages13
JournalDesigns, Codes, and Cryptography
Volume13
Issue number3
DOIs
Publication statusPublished - 1998 Jan 1
Externally publishedYes

Keywords

  • Extremal codes
  • Self-dual codes and double circulant codes

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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