Self-Dual Permutation Codes over Finite Chain Rings  

作　　者：YUAN Yuan ZHANG Huanguo 

机构地区：[1]School of Computer, Wuhan University, Wuhan 430072, Hubei, China [2]School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510000, Guangdong, China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第6期992-996,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (60373087, 60473023, 90104005, 60673071)

摘　　要：Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.

关 键 词：finite chain ring group code permutation code self-dual code 

分 类 号：O157.4[理学—数学]