construction of 1-resilient boolean functions with optimal algebraic immunity and good nonlinearity
文献类型:期刊论文
作者 | Pan Sen-Shan ; Fu Xiao-Tong ; Zhang Wei-Guo |
刊名 | Journal of Computer Science and Technology
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出版日期 | 2011 |
卷号 | 26期号:2页码:269-275 |
关键词 | Algebra Hydraulics Optimization |
ISSN号 | 10009000 |
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. |
收录类别 | EI |
语种 | 英语 |
WOS记录号 | WOS:000288024900007 |
公开日期 | 2011-10-10 |
源URL | [http://124.16.136.157/handle/311060/14049] ![]() |
专题 | 软件研究所_软件所图书馆_期刊论文 |
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. |
入库方式: OAI收割
来源:软件研究所
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