文献类型：期刊文献

英文题名：Construction and Counting of 1-Resilient Rotation Symmetric Boolean Functions on pq Variables

作者：Du, Jiao[1,2];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：2013

卷号：E96A

期号：7

起止页码：1653-1656

外文期刊名：IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES

收录：;EI(收录号：20133116546329);Scopus(收录号：2-s2.0-84880560006);WOS:【SCI-EXPANDED(收录号:WOS:000321467700020)】；

基金：This work is supported by National Natural Science Foundation of China (Grant Nos. 61272057, 61202434, 61170270, 61100203, 61003286, 61121061, 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).

语种：英文

外文关键词：cryptology; rotation symmetric; characteristic matrix; correlation immune; resilient function

摘要：In this letter, a property of the characteristic matrix of the Rotation Symmetric Boolean Functions (RSBFs) is characterized, and a sufficient and necessary condition for RSBFs being 1st correlation-immune (1-CI for simplicity) is obtained. This property is applied to construct resilient RSBFs of order 1 (1-resilient for simplicity) on pq variables, where p and q are both prime consistently in this letter. The results show that construction and counting of I-resilient RSBFs on pq variables are equivalent to solving an equation system and counting the solutions. At last, the counting of all I-resilient RSBFs on pq variables is also proposed.