环Z_4+vZ_4上线性码关于t-Lee的MacWilliams恒等式  

MacWilliams identities of linear codes over ring Z_4+vZ_4 with respect to t-Lee weight enumerator

作　　者：韩洁琼[1] 刘丽[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2015年第12期1720-1724,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11201107;11401154)

摘　　要：文章介绍了环R=Z_4+vZ_4(v^2=v)上线性码的一些性质,在Lee重量的基础上定义了t-Lee重量计数器,并给出环上互为对偶码的线性码关于t-Lee重量计数器所满足的MacWilliams恒等式,推广了Lee重量计数器的MacWilliams恒等式。In this paper, some properties of linear code over the ring R=Z4＋vZ4 are introduced, where v2 =v. Based on the Lee weight of linear code over the ring R, the t-Lee weight enumerator is de- fined, and a MacWilliams identity for the t-Lee weight enumerator of the dual code over the ring R is given, which is the generalization of the MacWilliams identity of Lee weight enumerator.

关 键 词：线性码 对偶码 t-Lee重量 重量计数器 MACWILLIAMS恒等式 

分 类 号：TN911.22[电子电信—通信与信息系统]