Extremal self-dual codes over F 2 × F 2

Koichi Betsumiya, T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, it is shown that extremal (Hermitian) self-dual codes over F 2 × F 2 exist only for lengths 1, 2, 3, 4, 5, 8 and 10. All extremal self-dual codes over F 2 × F 2 are found. In particular, it is shown that there is a unique extremal self-dual code up to equivalence for lengths 8 and 10. Optimal self-dual codes are also investigated. A classification is given for binary [12, 7, 4] codes with dual distance 4, binary [13, 7, 4] codes with dual distance 4 and binary [13, 8, 4] codes with dual distance ≥ 4.

Original languageEnglish
Pages (from-to)171-186
Number of pages16
JournalDesigns, Codes, and Cryptography
Volume28
Issue number2
DOIs
Publication statusPublished - 2003 Mar 1
Externally publishedYes

Keywords

  • optimal codes
  • self-dual codes

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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