On the Depth Spectrums of Linear Cyclic Codes on Ring Z4
Zhu Shi-xin①; Yang Shan-lin②; Tong Hong-xi①
①Department of Applied Mathematics, Hefei University of Technology, Hefei 230009,China;②Institute of Network, Hefei University of Technology, Hefei 230009, China
Abstract: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 4k12k2 has at least k1+k2 nonzero values, and the depth spectrum of linear cyclic code of type 4k is {n,n-1,… ,n-k+1} .
朱士信; 杨善林; 童宏玺. 环Z4上线性循环码的深度谱[J]. 电子与信息学报, 2005, 27(10): 1597-1599 .
Zhu Shi-xin①; Yang Shan-lin②; Tong Hong-xi①. On the Depth Spectrums of Linear Cyclic Codes on Ring Z4. , 2005, 27(10): 1597-1599 .