一些二进制数列的族复杂度和互相关测度  

On the f-complexity and cross-correlation of some binary sequences

作　　者：梁嘉怡 薛盼 LIANG Jia-yi;XUE Pan(School of General Education,Xi’an Eurasia University,Xi’an 710065,China)

机构地区：[1]西安欧亚学院通识教育学院,陕西西安710065

出　　处：《兰州理工大学学报》2022年第4期157-162,共6页Journal of Lanzhou University of Technology

基　　金：陕西省教育厅科研专项基金(20JK0815)。

摘　　要：利用Legendre符号构造的二进制数列具有很强的伪随机性.基于Legendre符号,依据多项式特征和的估计、指数和的估计,构造了两类伪随机性好的二进制数列族,它们均具有较大的族复杂度和较小的互相关测度.The binary sequences constructed using the Legendre symbols has strong pseudo-randomness.In this paper,based on Legendre symbol and the estimation of character sums of polynomials and exponential,two kinds of binary sequences families with good pseudo-randomness are constructed,both of which have great f-complexity and little cross-correlation measure.

关 键 词：二进制数列 LEGENDRE符号 族复杂度 互相关测度 

分 类 号：O156.4[理学—数学]