Construction and Count of 1-Resilient Rotation Symmetric Boolean Functions on 4p Variables |
| |
Affiliation: | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
| |
Abstract: | This paper studies the properties of orbit matrix and gives a formula to compute the number of these orbit matrices on 4p variables, where p is an odd prime. It has been demonstrated that the construction of 1-resilient Rotation symmetric Boolean functions (RSBFs) on 4p variables is equivalent to solving an equation system. By the proposed method, all 1-resilient RSBFs on 12 variables can be constructed. We present a counting formula for the total number of all 1-resilient RSBFs on 4p variables. As application of our method, some 1-resilient RSBFs on 12 variables are presented. |
| |
Keywords: | Cryptography Rotation symmetric Boolean functions Orbit matrix Resilient functions |
本文献已被 万方数据 等数据库收录! |
|