Remark on subcodes of linear complementary dual codes

被引：7

作者：

Harada, Masaaki ^{[1
]}

Saito, Ken ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Sendai, Miyagi 9808579, Japan

来源：

INFORMATION PROCESSING LETTERS | 2020年 / 159卷

关键词：

Linear complementary dual code; Minimum weight; Subcode; Combinatorial problems;

D O I：

10.1016/j.ipl.2020.105963

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that any ternary Euclidean (resp. quaternary Hermitian) linear complementary dual [n, k] code contains a Euclidean (resp. Hermitian) linear complementary dual [n, k - 1] subcode for 2 <= k <= n. As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary Hermitian linear complementary dual codes. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：3

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