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results on the immunity of boolean functions against probabilistic algebraic attacks
Liu Meicheng; Lin Dongdai; Pei Dingyi
2011
会议名称16th Australasian Conference on Information Security and Privacy, ACISP 2011
会议录名称Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
页码34-46
会议日期11-Jul-02
会议地点Melbourne, VIC, Australia
出版地Germany
ISSN3029743
ISBN9783642224966
部门归属(1) State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (2) College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
摘要In this paper, we study the immunity of Boolean functions against probabilistic algebraic attacks. We first show that there are functions, using as filters in a linear feedback shift register based nonlinear filter generator, such that probabilistic algebraic attacks outperform deterministic ones. Then we introduce two notions, algebraic immunity distance and k-error algebraic immunity, to measure the ability of Boolean functions resistant to probabilistic algebraic attacks. We analyze both lower and upper bounds on algebraic immunity distance, and also present the relations among algebraic immunity distance, k-error algebraic immunity, algebraic immunity and high order nonlinearity. © 2011 Springer-Verlag.
关键词Algebra Nonlinear Feedback Security Of Data Shift Registers
内容类型会议论文
URI标识http://ir.iscas.ac.cn/handle/311060/14241
专题信息安全国家重点实验室
推荐引用方式
GB/T 7714
Liu Meicheng,Lin Dongdai,Pei Dingyi. results on the immunity of boolean functions against probabilistic algebraic attacks[C]. Germany,2011:34-46.
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