西北师范大学学报（自然科学版）2017，Vol.53Issue(1)：18-21,4.DOI:10.16783/j.cnki.nwnuz.2017.01.004
基于欧拉商的二元序列的迹表示
Trace representation of binary sequences derived from Euler quotients
摘要
Abstract
Families of pseudorandom sequences derived from Fermat quotients and Euler quotients possess good cryptographic properties.In this paper,based on the theory of finite fields and defining pairs,the defining pairs of binary sequence based on Euler quotient are determined firstly,and then from which the sequences’trace representation is obtained.Finally the linear complexity of the sequence is given.The trace representation can provide a new tool for analyzing other pseudorandom properties of the sequence.关键词
二元序列/欧拉商/费马商/定义对/迹函数/线性复杂度Key words
binary sequences/Euler quotients/Fermat quotients/defining pairs/trace representation/linear complexity分类
信息技术与安全科学引用本文复制引用
杜小妮,李芝霞,万韫琦,李晓丹..基于欧拉商的二元序列的迹表示[J].西北师范大学学报（自然科学版）,2017,53(1):18-21,4.基金项目
国家自然科学基金资助项目(61462077,61562077) （61462077,61562077）
教育部“新世纪优秀人才支持计划”基金资助项目(NCET-12-0620) （NCET-12-0620）
安徽省自然科学基金资助项目(1608085MFI43) （1608085MFI43）
