| 素数元旋转对称弹性布尔函数的构造与计数 |
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| 引用本文： | 杜 蛟,温巧燕,张 劼,庞善起.素数元旋转对称弹性布尔函数的构造与计数[J].通信学报,2013,34(3):6-13. |
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| 作者姓名： | 杜 蛟 温巧燕 张 劼 庞善起 |
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| 摘 要： | 通过对素数元旋转对称弹性布尔函数特征矩阵的研究，给出了其特征矩阵的若干性质，得到了素数元旋转对称布尔函数为弹性函数的一个充要条件，由此完全决定了旋转对称弹性函数的构造以及这类函数的精确计数公式，最后还给出了所有的三元、五元、七元旋转对称弹性布尔函数的构造方案与精确计数。
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Construction and count of resilient rotation symmetric Boolean functions with prime number variables |
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| Jiao DU,Qiao-yan WEN,Jie ZHANG,Shan-qi PANG.Construction and count of resilient rotation symmetric Boolean functions with prime number variables[J].Journal on Communications,2013,34(3):6-13. |
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| Authors: | Jiao DU Qiao-yan WEN Jie ZHANG Shan-qi PANG |
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| Affiliation: | 1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. Department of Mathematics and Information Science, Xinxiang University,Xinxiang 453003, China;3. School of Science, Beijing University of Posts and Telecommunications,Beijing 100876, China;4. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
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| Abstract: | The characteristic matrix of the resilient rotation symmetric Boolean functions(RSBF) with prime number va-riables were explored. Some properties about character ic matrix of them were given. A necessary and sufficient condi-tion on the construction of resilient RSBF with prime number variables was derived. So construction and count formula of all the resilient RSBF with prime number variables were determined by this way. At last, all the resilient RSBF with 3, 5 or 7 variables were given. |
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| Keywords: | Boolean functions characteristic matrix correlation immune algebraic immunity |
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