On the minimum weights of binary LCD codes and ternary LCD codes

Makoto Araya, Masaaki Harada, Ken Saito

研究成果: Article査読

抄録

Linear complementary dual (LCD) codes are linear codes that intersect with their dual codes trivially. We study the largest minimum weight d2(n,k) among all binary LCD [n,k] codes and the largest minimum weight d3(n,k) among all ternary LCD [n,k] codes. The largest minimum weights d2(n,5) and d3(n,4) are partially determined. We also determine the largest minimum weights d2(n,n−5), d3(n,n−i) for i∈{2,3,4}, and d3(n,k) for n∈{11,12,…,19}.

本文言語English
論文番号101925
ジャーナルFinite Fields and their Applications
76
DOI
出版ステータスPublished - 2021 12

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

フィンガープリント

「On the minimum weights of binary LCD codes and ternary LCD codes」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