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

Koichi Betsumiya, Masaaki Harada

研究成果: Article査読

12 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)325-332
ページ数8
ジャーナルDesigns, Codes, and Cryptography
23
3
DOI
出版ステータスPublished - 2001 8月
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンスの応用
  • 応用数学

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