A note on the Assmus–Mattson theorem for some binary codes

Tsuyoshi Miezaki, Hiroyuki Nakasora*

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We previously proposed the first nontrivial examples of a code having support t-designs for all weights obtained from the Assmus–Mattson theorem and having support t-designs for some weights with some t> t. This suggests the possibility of generalizing the Assmus–Mattson theorem, which is very important in design and coding theory. In the present paper, we generalize this example as a strengthening of the Assmus–Mattson theorem along this direction. As a corollary, we provide a new characterization of the extended Golay code G24.

本文言語English
ページ(範囲)1485-1502
ページ数18
ジャーナルDesigns, Codes, and Cryptography
90
6
DOI
出版ステータスPublished - 2022 6月

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンスの応用
  • 離散数学と組合せ数学
  • 応用数学

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