Optimal ternary formally self-dual codes

Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, we study ternary optimal formally self-dual codes. Bounds for the highest minimum weight are given for length up to 30 and examples of optimal formally self-dual codes are constructed. For some lengths, we have found formally self-dual codes which have a higher minimum weight than any self-dual code. It is also shown that any optimal formally self-dual [10,5,5] code is related to the ternary Golay code of length 12.

Original languageEnglish
Pages (from-to)117-135
Number of pages19
JournalDiscrete Mathematics
Volume196
Issue number1-3
DOIs
Publication statusPublished - 1999 Jan 1
Externally publishedYes

Keywords

  • Formally self-dual codes
  • Ternary codes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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