Cyclic and negacyclic codes over the Galois ring GR(p2, m)

被引：24

作者：

Sobhani, R. ^{[1
]}

Esmaeili, M. ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

DISCRETE APPLIED MATHEMATICS | 2009年 / 157卷 / 13期

关键词：

Cyclic codes; Galois rings; FINITE CHAIN RING; LENGTH 2(E); EVEN LENGTH; Z(4);

D O I：

10.1016/j.dam.2009.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with cyclic codes over the Galois ring GR(p(2), m). A unique set of generators for these codes and an algorithm for finding these generators are presented. The form of dual codes is studied. The obtained results on cyclic codes are extended to the class of negacyclic codes. (C) 2009 Elsevier B.V. All rights reserved.

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页码：2892 / 2903

页数：12

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