形式幂级数环中的循环码  

Cyclic codes over formal power series rings

作　　者：刘修生[1] 

机构地区：[1]黄石理工学院数理学院,湖北黄石435003

出　　处：《通信学报》2011年第2期68-71,76,共5页Journal on Communications

摘　　要：研究了形式幂级数环与有限链环上的循环码与负循环码,利用环同构与交换图技术得到这2类环上循环码与负循环码,以及Dougherty等得到的形式幂级数环上的循环码的投影码也是循环码的结果,给出了形式幂级数环上码为循环码的一个充要条件。借助这一条件,得到了含有形式幂级数环的中国积中循环码的投影码的循环性。Cyclic and negacyclic codes over formal power series and finite chain rings were studied.By using ring isomorphism and exchange graph,an obtained results of cyclic and negacyclic codes over two classes,Dougherty,Liu and Park gave that the projective codes of cyclic codes over the formal power series ring were cyclic codes,sufficient and necessary conditions for cyclic codes gave over this class of rings.Thus it is obvious that projective codes of the cyclic codes over the Chinese product with formal power serious ring are cyclic code.

关 键 词：形式幂级数环 循环码 投影码 中国积 

分 类 号：O157.4[理学—数学]