An extremal ternary self-dual [28, 14, 9] code with a trivial automorphism group

研究成果: Article査読

4 被引用数 (Scopus)

抄録

In this paper, we show that the smallest length for which there is an extremal ternary self-dual code with a trivial automorphism group is 28 by constructing such a code of length 28. This code is the first example of extremal ternary self-dual codes with trivial automorphism groups. An extremal ternary self-dual [32, 16, 9] code with a trivial automorphism group is also constructed. A 32-dimensional odd unimodular lattice with minimum norm 3 and a trivial automorphism group is obtained from the code by Construction A.

本文言語English
ページ(範囲)121-125
ページ数5
ジャーナルDiscrete Mathematics
239
1-3
DOI
出版ステータスPublished - 2001 8月 28
外部発表はい

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • 離散数学と組合せ数学

フィンガープリント

「An extremal ternary self-dual [28, 14, 9] code with a trivial automorphism group」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル