环Z_4上线性循环码的深度谱  

On the Depth Spectrums of Linear Cyclic Codes on Ring Z_4

作　　者：朱士信[1] 杨善林[2] 童宏玺[1] 

机构地区：[1]合肥工业大学应用数学系,合肥230009 [2]合肥工业大学网络研究所,合肥230009

出　　处：《电子与信息学报》2005年第10期1597-1599,共3页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(70471046)安徽省自然科学基金(03042201)资助课题

摘　　要：Etzion定义并研究了域Fq上线性码的深度谱,该文研究了环Z4上线性码与线性循环码的深度谱,证明了4k12k2型线性码的深度谱至少含有k1+k2个非零值,并给出了一类4k型线性循环码的深度谱为{n,n-1,…,n-k+1}。Etzion defined and studied the depth spectrums of linear codes on field Fq. In this correspondence, the depth spectrums of linear codes and linear cyclic codes on ring Z4 are studied, and it is proved that the depth spectrum of linear code of type 4^k12^k2 has at least k1 ＋k2 nonzero values, and the depth spectrum of linear cyclic code of type 4^k is （n,n- 1,...,n- k ＋ 1} .

关 键 词：线性码 线性循环码 深度 深度谱 

分 类 号：TN911.22[电子电信—通信与信息系统]