Classification of Formally Self-Dual even Codes of Lengths up to 16

Koichi Betsumiya, Masaaki Harada

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In this note, we give the complete classification of binary formally self-dual even codes of lengths 10, 12, 14 and 16. There are exactly fourteen, 29, 99 and 914 inequivalent such codes of lengths 10, 12, 14 and 16, respectively. This completes the classification of formally self-dual even codes of lengths up to 16. The first example of a formally self-dual even code with a trivial automorphism group is also found. This shows that 16 is the smallest length for which there is a formally self-dual even code with a trivial automorphism group.

Original languageEnglish
Pages (from-to)325-332
Number of pages8
JournalDesigns, Codes, and Cryptography
Volume23
Issue number3
DOIs
Publication statusPublished - 2001 Aug 1
Externally publishedYes

Keywords

  • Automorphism groups
  • Classification
  • Formally self-dual even codes

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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