Double circulant self-dual codes over GF(5)

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

All distinct double circulant self-dual codes over GF(5), with a minimum weight which is highest among all double circulant self-dual codes, have been found for each length n ≤ 24. For lengths 14, 16 and 20, these codes are extremal. In this paper, we characterize these extremal double circulant self-dual codes. In particular, a classification of extremal double circulant self-dual codes of length 14 is given. We present other double circulant codes which improve the lower bounds on the highest possible minimum weight. A classification of double circulant self-dual codes with parameters [18, 9, 7] and [24, 12, 9] is also given.

Original languageEnglish
Pages (from-to)3-13
Number of pages11
JournalArs Combinatoria
Volume56
Publication statusPublished - 2000 Jul 1
Externally publishedYes

Keywords

  • Double circulant codes
  • Self-dual codes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Double circulant self-dual codes over GF(5)'. Together they form a unique fingerprint.

Cite this