Binary extremal self-dual codes of length 60 and related codes

研究成果: Article査読

6 被引用数 (Scopus)

抄録

We give a classification of four-circulant singly even self-dual [60, 30, d] codes for d= 10 and 12. These codes are used to construct extremal singly even self-dual [60, 30, 12] codes with weight enumerator for which no extremal singly even self-dual code was previously known to exist. From extremal singly even self-dual [60, 30, 12] codes, we also construct optimal singly even self-dual [58, 29, 10] codes with weight enumerator for which no optimal singly even self-dual code was previously known to exist. Finally, we give some restriction on the possible weight enumerators of certain singly even self-dual codes with shadow of minimum weight 1.

本文言語English
ページ(範囲)1085-1094
ページ数10
ジャーナルDesigns, Codes, and Cryptography
86
5
DOI
出版ステータスPublished - 2018 5 1

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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