Construction and Counting of 1-Resilient Rotation Symmetric Boolean Functions on pq Variables
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概要
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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 1-resilient RSBFs on pq variables are equivalent to solving an equation system and counting the solutions. At last, the counting of all 1-resilient RSBFs on pq variables is also proposed.
著者
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Zhang Jie
School Of Marine Science And Engineering Nagasaki University
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Wen Qiaoyan
State Key Laboratory Of Networking And Switching Technology Beijing University Of Posts And Telecomm
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DU Jiao
State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications
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PANG Shanqi
College of Mathematics and Information Science, Henan Normal University
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