The existence of a self-dual [70, 35, 12] code and formally self-dual codes

研究成果: Article査読

34 被引用数 (Scopus)

抄録

In this note, the existence of self-dual codes and formally self-dual even codes is investigated. A construction for self-dual codes is presented, based on extending generator matrices. Using this method, a singly-even self-dual [70, 35, 12] code is constructed from a self-dual code of length 68. This is the first published example of a singly-even [70, 35, 12] code. Constructions are also given for formally self-dual even codes. Extremal formally self-dual even codes are constructed.

本文言語English
ページ(範囲)131-139
ページ数9
ジャーナルFinite Fields and their Applications
3
2
DOI
出版ステータスPublished - 1997 4月
外部発表はい

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • 代数と数論
  • 工学(全般)
  • 応用数学

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