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题名:
construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity
作者: Pan Sen-Shan ; Fu Xiao-Tong ; Zhang Wei-Guo
关键词: Algebra ; Hydraulics ; Optimization
刊名: Journal of Computer Science and Technology
发表日期: 2011
卷: 26, 期:2, 页:269-275
收录类别: ei
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
英文摘要: 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.
语种: 英语
WOS记录号: WOS:000288024900007
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内容类型: 期刊论文
URI标识: http://ir.iscas.ac.cn/handle/311060/14049
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
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,2011-01-01,26(2):269-275.
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