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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 | |
| Source | Finite Fields and their Applications
 |
| ISSN | 10715797 |
| Volume | 17Issue:3Pages:254-274 |
| English Abstract | 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. |
| Indexed Type | ei |
| Department | (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 |
| Language | 英语 |
| WOS ID | WOS:000290118800005 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/14091 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| A new result on the （243KB） | 开放获取 | -- | Application Full Text | |||
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