LCD codes over finite chain rings

被引：81
|
作者：
Liu, Xiusheng [1 ]
Liu, Hualu [1 ]
机构：
[1] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Hubei, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2015年 / 34卷
关键词：
Finite chain rings; Complementary dual codes; Generator matrices; LINEAR CODES; CYCLIC CODES;
D O I：
10.1016/j.ffa.2015.01.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A linear code with a complementary-dual (an LCD code) is defined to be a linear code C satisfying C boolean AND C-perpendicular to = {0}. We provide a necessary condition for an LCD linear code C over a finite chain ring. Under suitable conditions, we give a sufficient condition under which a linear code C over a finite chain ring is LCD. In particular, we derive a necessary and sufficient condition for free linear codes over a finite chain ring to be LCD. We also give a characterization of LCD codes over principal ideal rings. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 19
页数：19
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