基于模素数幂欧拉商的r元序列的迹表示  

Trace representation of r-ary sequences derived from Euler quotients with prime-power modulus

作　　者：杜小妮 王莲花 李丽 DU Xiao-ni;WANG Lian-hua;LI Li(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu China)

机构地区：[1]西北师范大学数学与统计学院

出　　处：《西北师范大学学报（自然科学版）》2019年第5期1-5,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(61562077,61772022)

摘　　要：基于费马商和欧拉商构造的伪随机序列族具有良好的密码学性质.基于欧拉商确定了具有素数幂周期的r(r 为奇素数)元序列的定义对和离散傅里叶变换,得到了该序列的迹表示,这对序列的工程实现具有积极的意义.Families of pseudorandom sequences derived from Fermat quotients and Euler quotients possess good cryptographic properties.In this paper,the definition pairs of r-ary sequences with prime power period and discrete Fourier transform are determined,which is based on Euler quotients.Then the trace representation of the sequences is obtained,which is of positive significance to the engineering implementation of the sequences.

关 键 词：r元序列 欧拉商 费马商 离散傅里叶变换 定义对 迹表示 

分 类 号：TN918.4[电子电信—通信与信息系统]