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

页码：1 / 19

页数：19

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