摘要
最近,丁存生基于新的割圆类(V_0,V_1)构造了循环码并研究了其性质.本文利用割圆类(V_0, V_1)构造了周期为pq的2阶二元序列,并计算了其自相关值、线性复杂度和极小多项式.
Recently Ding has constructed certain cyclic codes by using new cyclotomy(V0,V1) and studied the properties. In this paper we construct new binary sequences of order two and length pq by using the cyclotomy(V0, V1), and calculate the autocorrelation values, linear complexity and minimal polynomials.
作者
刘华宁
陈晓林
Hua Ning LIU;Xiao Lin CHEN(School of Mathematics,Northwest University,Xi'an 710127,P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2019年第2期233-246,共14页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11571277)
陕西省工业科技攻关项目(2016GY-077
2016GY-080)
关键词
流密码
广义割圆类
广义割圆序列
自相关值
线性复杂度
stream cipher
generalized cyclotomy
generalized cyclotomic sequence
autocorrelation value
linear complexity
