Quasi-cyclic complementary dual codes

被引：75
|
作者：
Guneri, Cem [1 ]
Ozkaya, Buket [1 ]
Sole, Patrick [2 ,3 ]
机构：
[1] Sabanci Univ, FENS, TR-34956 Istanbul, Turkey
[2] Univ Paris Saclay, CNRS, LTCI, F-75013 Paris, France
[3] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2016年 / 42卷
关键词：
Quasi-cyclic code; LCD code; Dual code; FINITE-FIELDS; ALGEBRAIC STRUCTURE; LINEAR CODES;
D O I：
10.1016/j.ffa.2016.07.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Linear complementary dual codes are linear codes that intersect with their dual trivially. Quasi-cyclic codes that are complementary dual are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian linear complementary dual codes are introduced to that end and their cyclic subclass is characterized. Constructions of quasi-cyclic complementary dual codes from codes over larger alphabets are given. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：67 / 80
页数：14
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