a new result on the distinctness of primitive sequences over z/(pq) modulo 2

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	a new result on the distinctness of primitive sequences over z/(pq) modulo 2
	Zheng Qun-Xiong; Qi Wen-Feng
	2011
发表期刊	Finite Fields and their Applications
ISSN	10715797
卷号	17 期号:3 页码:254-274
摘要	Let Z/(pq) be the integer residue ring modulo pq with odd prime numbers p and q. This paper studies the distinctness problem of modulo 2 reductions of two primitive sequences over Z/(pq), which has been studied by H.J. Chen and W.F. Qi in 2009. First, it is shown that almost every element in Z/(pq) occurs in a primitive sequence of order n>2 over Z/(pq). Then based on this element distribution property of primitive sequences over Z/(pq), previous results are greatly improved and the set of primitive sequences over Z/(pq) that are known to be distinct modulo 2 is further enlarged. © 2010 Elsevier Inc. All rights reserved.
收录类别	ei
部门归属	(1) Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, China; (2) State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing, China
语种	英语
WOS记录号	WOS:000290118800005
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/14091
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Zheng Qun-Xiong,Qi Wen-Feng. a new result on the distinctness of primitive sequences over z/(pq) modulo 2[J]. Finite Fields and their Applications,2011,17(3):254-274.
APA	Zheng Qun-Xiong,&Qi Wen-Feng.(2011).a new result on the distinctness of primitive sequences over z/(pq) modulo 2.Finite Fields and their Applications,17(3),254-274.
MLA	Zheng Qun-Xiong,et al."a new result on the distinctness of primitive sequences over z/(pq) modulo 2".Finite Fields and their Applications 17.3(2011):254-274.

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