摘要
本文构造了一类周期为pq(p和q是不同的奇素数)的几乎平衡的二元序列,基于4阶Whiteman-广义分圆和2阶经典分圆我们确定了这类序列的线性复杂度.研究结果表明该类序列从线性复杂度的角度来看是非常好的.
In this paper,a class of generalized cyclotomic binary sequences of period pq is proposed,where p and q are two distinct odd primes.By using Whiteman’s generalized cyclotomy of order 4 and classic cyclotomy of order 2,the sequences are almost balanced and the exact value of their linear complexity is calculated,which shows that the proposed sequences are quite good in terms of the linear complexity.
作者
杨波
杜天奇
肖自碧
YANG Bo;DU Tian-qi;XIAO Zi-bi(Hubei Province Key Laboratory of Systems Science in Metallurgical Process,Wuhan University of Science and Technology,Wuhan 430081,China;College of Science,Wuhan University of Science and Technology,Wuhan 430081,China)
出处
《数学杂志》
2020年第2期139-148,共10页
Journal of Mathematics
基金
Supported by Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(Y201707).
关键词
二元序列
线性复杂度
分圆
广义分圆序列
binary sequence
linear complexity
cyclotomy
generalized cyclotomic sequence
