construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity

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	construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity
	Pan Sen-Shan; Fu Xiao-Tong; Zhang Wei-Guo
	2011
发表期刊	Journal of Computer Science and Technology
ISSN	10009000
卷号	26 期号:2 页码:269-275
摘要	This paper presents a construction for a class of 1-resilient functions with optimal algebraic immunity on an even number of variables. The construction is based on the concatenation of two balanced functions in associative classes. For some n, a part of 1-resilient functions with maximum algebraic immunity constructed in the paper can achieve almost optimal nonlinearity. Apart from their high nonlinearity, the functions reach Siegenthaler's upper bound of algebraic degree. Also a class of 1-resilient functions on any number n > 2 of variables with at least sub-optimal algebraic immunity is provided. © 2011 Springer Science+Business Media, LLC & Science Press, China.
收录类别	ei
关键词	Algebra Hydraulics Optimization
部门归属	(1) State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an 710071, China; (2) State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
语种	英语
WOS记录号	WOS:000288024900007
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/14049
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Pan Sen-Shan,Fu Xiao-Tong,Zhang Wei-Guo. construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity[J]. Journal of Computer Science and Technology,2011,26(2):269-275.
APA	Pan Sen-Shan,Fu Xiao-Tong,&Zhang Wei-Guo.(2011).construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity.Journal of Computer Science and Technology,26(2),269-275.
MLA	Pan Sen-Shan,et al."construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity".Journal of Computer Science and Technology 26.2(2011):269-275.

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