binary threshold sequences derived from carmichael quotients with even numbers modulus

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	binary threshold sequences derived from carmichael quotients with even numbers modulus
	Wu Chenhuang; Chen Zhixiong; Du Xiaoni
	2012
Source	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
ISSN	0916-8508
Volume	E95-A Issue:7 Pages:1197-1199
English Abstract	We define a family of 2^e+1-periodic binary threshold sequences and a family of p²-periodic binary threshold sequences by using Carmichael quotients modulo 2^e (e > 2) and 2p (p is an odd prime), respectively. These are extensions of the construction derived from Fermat quotients modulo an odd prime in our earlier work. We determine exact values of the linear complexity, which are larger than half of the period. For cryptographic purpose, the linear complexities of the sequences in this letter are of desired values. © 2012 The Institute of Electronics, Information and Communication Engineers.; We define a family of 2^e+1-periodic binary threshold sequences and a family of p²-periodic binary threshold sequences by using Carmichael quotients modulo 2^e (e > 2) and 2p (p is an odd prime), respectively. These are extensions of the construction derived from Fermat quotients modulo an odd prime in our earlier work. We determine exact values of the linear complexity, which are larger than half of the period. For cryptographic purpose, the linear complexities of the sequences in this letter are of desired values. © 2012 The Institute of Electronics, Information and Communication Engineers.
Indexed Type	EI ; SCI
Keyword	Computer Science Electrical Engineering
Department	(1) Department of Mathematics Putian University Putian Fujian 351100 China; (2) State Key Laboratory of Information Security Institute of Software Chinese Academy of Sciences Beijing 100049 China; (3) College of Mathematics and Information Science Northwest Normal University Lanzhou Gansu 730070 China
Subject	Computer Science ; Engineering
Sponsorship	National Natural Science Foundation of China 61170246, 61102093, 61063041; Program for New Century Excellent Talents in Fujian Province University of China JK2010047; State Key Laboratory of Information Security (Chinese Academy of Sciences) 01-01-1; Education Department of Gansu Province 1001-09
Language	英语
Content Type	期刊论文
URI	http://ir.iscas.ac.cn/handle/311060/15039
Collection	中国科学院软件研究所
Recommended Citation GB/T 7714	Wu Chenhuang,Chen Zhixiong,Du Xiaoni. binary threshold sequences derived from carmichael quotients with even numbers modulus[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences,2012,E95-A(7):1197-1199.
APA	Wu Chenhuang,Chen Zhixiong,&Du Xiaoni.(2012).binary threshold sequences derived from carmichael quotients with even numbers modulus.IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences,E95-A(7),1197-1199.
MLA	Wu Chenhuang,et al."binary threshold sequences derived from carmichael quotients with even numbers modulus".IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E95-A.7(2012):1197-1199.

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