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.
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页数：3
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