New optimal self-dual codes over GF(7)

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

In this paper, double circulant self-dual codes over GF(7) are presented, including [12, 6, 6] codes which are new optimal codes. It is shown that the supports of the codewords of weights 9, 10 and 11 in double circulant [20, 10, 9] codes form 3-designs. For larger lengths, some good self-dual codes are constructed from weighing matrices.

Original languageEnglish
Pages (from-to)175-186
Number of pages12
JournalGraphs and Combinatorics
Volume15
Issue number2
DOIs
Publication statusPublished - 1999 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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