关于有限链环上自对偶循环码的注记（英文）  

A Note on Self-dual Cyclic Codes Over Finite Chain Rings

作　　者：张光辉[1] 

机构地区：[1]洛阳师范学院数学科学学院,洛阳河南471022

出　　处：《数学进展》2016年第2期206-210,共5页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11171370);the Youth Backbone Teacher Foundation of Henan's University(No.2013GGJS-152);Science and Technology Development Program of Henan Province in 2014(No.144300510051);the NSF Educational Department of Henan Province(No.14B110004)

摘　　要：设R是一个有限交换链环,它的特征是素数p的幂;n是一个与p互素的正整数.本文给出了链环R上的长为n的非平凡的自对偶循环码存在的一个充分必要条件.Let R be a finite commutative chain ring whose characteristic is a power of a prime p, and let n be a positive integer coprime with p. In this paper, we provide necessary and sufficient conditions for the existence of nontrivial self-dual cyclic codes of arbitrary length n over R.

关 键 词：循环码 自对偶码 链环 

分 类 号：O157.4[理学—数学]