linear complexity of pseudorandom sequences generated by fermat quotients and their generalizations

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	linear complexity of pseudorandom sequences generated by fermat quotients and their generalizations
	Du Xiaoni; Klapper Andrew; Chen Zhixiong
	2012
发表期刊	Information Processing Letters
ISSN	200190
卷号	112 期号:6 页码:233-237
摘要	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.
收录类别	ei
部门归属	(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
语种	英语
WOS记录号	WOS:000300811700005
引用统计	被引频次：24[WOS] [WOS记录] [WOS相关记录]
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/14744
专题	中国科学院软件研究所
推荐引用方式 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.

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