Duality of constacyclic codes of prime power length over the finite non-commutative chain ring Fpm[u,θ]/⟨u2⟩

被引：0

作者：

Phuto, Jirayu ^{[1
]}

Klin-eam, Chakkrid ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

DISCRETE MATHEMATICS | 2022年 / 345卷 / 06期

关键词：

Left constacyclic codes; Linear complementary dual codes; Non-commutative rings; Repeated-root codes; Self-dual codes; CYCLIC CODES;

D O I：

10.1016/j.disc.2022.112856

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R = F-p(m)[u,theta]/< u(2)> where theta is an automorphism of F-pm but it is not the identity. The list of (left and right) alpha-constacyclic codes of length p(s) over R is provided where theta(alpha) = alpha. The self-dual alpha-constacyclic codes are given. In addition, we derive the condition of LCD codes for those codes. For the remaining result, the condition of self-orthogonal left alpha- constacyclic codes is also obtained. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：16

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