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| linear complexity of pseudorandom sequences generated by fermat quotients and their generalizations | |
| Du Xiaoni; Klapper Andrew; Chen Zhixiong | |
| 2012 | |
| Source | Information Processing Letters
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| ISSN | 200190 |
| Volume | 112Issue:6Pages:233-237 |
| English Abstract | We use polynomial quotients modulo an odd prime p, which are generalized from the Fermat quotients, to define two families of d(≥2)-ary sequences of period p2. If d is a primitive element modulo p2, we determine the minimal characteristic polynomials of the sequences and hence their linear complexities, which depend on whether p 1 or 3 (mod 4). Moreover, we generalize the result to the polynomial quotients modulo a power of p. © 2011 Elsevier B.V. All rights reserved. |
| Indexed Type | ei |
| Department | (1) College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu 730070, China; (2) State Key Lab. of Integrated Service Networks, Xidian University, Xian, Shaanxi 710071, China; (3) Department of Computer Science, University of Kentucky, Lexington, KY 40506-0633, United States; (4) State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100049, China; (5) Department of Mathematics, Putian University, Putian, Fujian 351100, China |
| Language | 英语 |
| WOS ID | WOS:000300811700005 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/14744 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | Du Xiaoni,Klapper Andrew,Chen Zhixiong. linear complexity of pseudorandom sequences generated by fermat quotients and their generalizations[J]. Information Processing Letters,2012,112(6):233-237. |
| APA | Du Xiaoni,Klapper Andrew,&Chen Zhixiong.(2012).linear complexity of pseudorandom sequences generated by fermat quotients and their generalizations.Information Processing Letters,112(6),233-237. |
| MLA | Du Xiaoni,et al."linear complexity of pseudorandom sequences generated by fermat quotients and their generalizations".Information Processing Letters 112.6(2012):233-237. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 1-s2.0-S002001901100(136KB) | 开放获取 | License | Application Full Text | |||
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