F_(p^m)+vF_(p^m)上的自对偶模θ-常循环码  

Self-dual Module θ-Constacyclic Codes over F_(p^m)+vF_(p^m)

作　　者：李秀丽[1] 赵瑞瑞 LI Xiuli;ZHAO Ruirui(College of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China)

机构地区：[1]青岛科技大学数理学院,山东青岛266061

出　　处：《青岛科技大学学报（自然科学版）》2018年第6期107-110,共4页Journal of Qingdao University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金项目(11671235);青岛市博士后基金项目(861605040007)

摘　　要：BOUCHER研究了在Fpm上的自对偶模斜码,证明了对于自同构映射θ,当p≡1(mod4)时在Fpm上不存在自对偶循环码。本研究讨论在Fpm+vFpmv2 (=v)上模θ-常循环码和自对偶模θ-常循环码的存在性,证明了在F5m+vF5m上存在基于一些自同构映射θ的自对偶斜循环码。Boucher studied self-dual module skew codes over F p m and showed that there is no self-dual cyclic code over F p m for an automorphismθwhen p≡1 mod 4.In this paper,we will study the moduleθ-constacyclic codes and the existence of the self-dual moduleθ-constacyclic codes over F p m+vF p m v 2=v.We will also show that there exist self-dual skew cyclic codes over F 5 m+vF 5 m for some automorphismsθ.

关 键 词：自对偶码 模θ-常循环码 斜循环码 

分 类 号：O157[理学—数学]