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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 | |
| Source | Journal of Computer Science and Technology
 |
| ISSN | 10009000 |
| Volume | 26Issue:2Pages:269-275 |
| English Abstract | 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. |
| Indexed Type | ei |
| Keyword | Algebra Hydraulics Optimization |
| Department | (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 |
| Language | 英语 |
| WOS ID | WOS:000288024900007 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/14049 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Construction of 1-Re（255KB） | 开放获取 | -- | Application Full Text | |||
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