Quaternary Hermitian Linear Complementary Dual Codes

Makoto Araya, Masaaki Harada, Ken Saito

研究成果: ジャーナルへの寄稿学術論文査読

11 被引用数 (Scopus)

抄録

The largest minimum weights among quaternary Hermitian linear complementary dual codes are known for dimension 2. In this paper, we give some conditions on the nonexistence of quaternary Hermitian linear complementary dual codes with large minimum weights. As a consequence, we completely determine the largest minimum weights for dimension 3, by using a classification of some quaternary codes. In addition, for a positive integer s, an entanglement-assisted quantum error-correcting $[[21{s}+5,3,16{s}+3;21{s}+2]]$ code with maximal entanglement is constructed for the first time from a quaternary Hermitian linear complementary dual [26, 3, 19] code.

本文言語英語
論文番号8887244
ページ(範囲)2751-2759
ページ数9
ジャーナルIEEE Transactions on Information Theory
66
5
DOI
出版ステータス出版済み - 2020 5月

フィンガープリント

「Quaternary Hermitian Linear Complementary Dual 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