环F_2+μF_2+…+u^(k-1)F_2上常循环自对偶码  

Constacyclic Self-Dual Codes over Ring F_2 + uF_2 +…+ u^(k-1)F_2

作　　者：施敏加[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《电子学报》2013年第6期1088-1092,共5页Acta Electronica Sinica

基　　金：国家自然科学基金(No.61202068,No.11126174);安徽省高校优秀青年人才基金重点项目(No.2012SQRL0202D)

摘　　要：最近,剩余类环上的常循环码及常循环自对偶码引起了编码学者的极大关注.本文首先利用一些相关的线性码,建立了一类特殊有限链环上长为N的常循环自对偶码的一般理论,利用其结果给出了该环上长为N的(1+uλ)-常循环自对偶码存在的充分条件,得到了该环上长为N的一些常循环自对偶码,并给出了其生成多项式.Recently,a lot of coding scholars show a great interest in the study of constacyclic codes and constacyclic self-dual codes over the residue rings.In this paper,by utilizing some related linear codes,we first give the general theory of constacyclic self-dual codes of length N over a class of special finite chain rings.Using the obtained results,we give the sufficient conditions of the existence of constacyclic self-dual codes of length N over the ring.Finally,we determine the structures of some constacyclic self-dual codes of length N over the ring and give their generator polynomials.

关 键 词：常循环码 对偶码 自正交码 分圆陪集 

分 类 号：TN911.22[电子电信—通信与信息系统]