文献类型：期刊文献

英文题名：Constructions of resilient rotation symmetric Boolean functions on given number of variables

作者：Du, Jiao[1,2,4];Wen, Qiaoyan[1];Zhang, Jie[3];Pang, Shanqi[4]

第一作者：Du, Jiao;杜蛟

通讯作者：Du, J[1]

机构：[1]Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China;[2]Xinxiang Univ, Dept Math & Informat Sci, Xinxiang 453003, Peoples R China;[3]Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China;[4]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

第一机构：Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China

通讯机构：[1]corresponding author), Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China.

年份：2014

卷号：8

期号：5

起止页码：265-272

外文期刊名：IET INFORMATION SECURITY

收录：;EI(收录号：20143518107688);Scopus(收录号：2-s2.0-84906348443);WOS:【SCI-EXPANDED(收录号:WOS:000340844700002)】；

基金：This work is supported by National Natural Science Foundation of China (Grant Nos. 61272057, 61202434, 61170270, 61100203, 61003286, 61121061, 61102093, 11171093); the Fundamental Research Funds for the Central Universities (Grant Nos. BUPT2011YB01, 2012RC0612); the Natural Science Research Program of the Education Department of Henan Province (2011B110010). We deeply thank the anonymous reviewers and the editor for their valuable comments and suggestions that improved the presentation of this paper.

语种：英文

外文关键词：Boolean functions

摘要：In this study, the properties of the support tables of rotation symmetric Boolean functions (RSBFs for simplicity) are studied, and two sufficient and necessary conditions for RSBFs being 1- and 2-resilient are obtained, respectively. Based on the relations between resilient functions and orthogonal arrays, with the help of the properties about the support tables of RSBFs, it is shown that the constructions of 1-resilient RSBFs on given number of variables are equivalent to solving an equation system, and the number of functions is equal to the number of solutions of the equation system. Moreover, similar results are also obtained for 2-resilient RSBFs. Lastly, a simple example is given to demonstrate our method. The results indicate that the constructions of n-variable 1-resilient RSBFs are equivalent to studying the cyclotomic cosets C-s modulo 2(n) - 1 with respect to 2.