On the performance of optimal double circulant even codes

T. Aaron Gulliver, Masaaki Harada

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this note, we investigate the performance of optimal double circulant even codes which are not self-dual, as measured by the decoding error probability in bounded distance decoding. To achieve this, we classify the optimal double circulant even codes that are not self-dual which have the smallest weight distribution for lengths up to 72. We also give some restrictions on the weight distributions of (extremal) self-dual [54; 27; 10] codes with shadows of minimum weight 3. Finally, we consider the performance of extremal self-dual codes of lengths 88 and 112.

本文言語English
ページ(範囲)767-775
ページ数9
ジャーナルAdvances in Mathematics of Communications
11
4
DOI
出版ステータスPublished - 2017 11月

ASJC Scopus subject areas

  • 代数と数論
  • コンピュータ ネットワークおよび通信
  • 離散数学と組合せ数学
  • 応用数学

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