(1+λu2)-constacyclic codes of arbitrary length over Fpm[u]/u3

被引：0

作者：

Ding, Jian ^{[1
]}

Li, Hong-ju ^{[1
]}

Liang, Jing ^{[1
]}

机构：

[1] Anhui Xinhua Univ, Dept Gen Educ, Hefei 230088, Anhui, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 59卷 / 1-2期

关键词：

Constacyclic code; Cyclic code; Self-dual code; Generator;

D O I：

10.1007/s12190-018-1183-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generators for (1+lambda u(2))-constacyclic codes of arbitrary length over F(p)m[u]/ u(3) are given. As a special case, we get generators for (1+lambda u(2))-constacyclic codes with length pe over F(p)m[u]/ u(3). Besides, we determine generators for the dual codes of (1+lambda u(2))-constacyclic codes with an arbitrary length over F(p)m[u]/ u(3). Based on this, the necessary and sufficient condition for being a self-dual (1+lambda u(2))-constacyclic code over F(p)m[u]/ u(3) is derived.

引用

页码：343 / 359

页数：17

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