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| 具有最大代数免疫阶弹性函数的构造 | |
| 引用本文： | 曹浩,魏仕民,焦胜军.具有最大代数免疫阶弹性函数的构造[J].安徽科技学院学报,2011,25(1):48-52. |
| 作者姓名： | 曹浩 魏仕民 焦胜军 |
| 作者单位： | 1. 安徽科技学院,理学院,安徽,凤阳,233100 2. 淮北师范大学,安徽,淮北,235000 3. 海军蚌埠士官学校,基础部,安徽,蚌埠,233000 |
| 基金项目： | 国家自然科学基金资助项目，安徽省教育厅自然科学研究项目，安徽科技学院引进人才资助项目，安徽科技学院安徽省自然科学基金项目预研项目 |
| 摘 要： | 针对密码学中布尔函数的构造需求,利用布尔函数的谱表示,分析了其在可逆变换下的不变性质,探讨了如何将布尔函数的多种性质需求达到最优,给出了一种构造具有最大代数免疫阶的弹性函数的构造方法。 |
| 关 键 词： | 布尔函数 弹性函数 代数免疫阶 |
Construction of Resilient Boolean Function with Maximum Algebraic Immunity |
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| CAO Hao,WEI Shi-min,JIAO Sheng-jun.Construction of Resilient Boolean Function with Maximum Algebraic Immunity[J].Journal of Anhui Science and Technology University,2011,25(1):48-52. | |
| Authors: | CAO Hao WEI Shi-min JIAO Sheng-jun |
| Institution: | (1.College of Science,Anhui Science and Technology University,Fengyang 233100,China;2.Huaibei Normal University,Huaibei 235000,China;3.Department of Basic Courses,Bengbu Naval Petty Officer Academy,Bengbu 233000,China) |
| Abstract: | The good characteristics of Boolean function decide the security of cryptography to a certain extent.Focusing on construction requirements of Boolean function,high nonlinearities,high algebraic immunity and high resiliency orders,compromising of these properties is explored.Using the spectral representation of Boolean functions,a construction of resilient Boolean functions with maximum algebraic immunity is proposed based on studies of cryptograph properties invariance under reversible transformation. |
| Keywords: | Boolean function Resilient Boolean Function Algebraic Immunity |
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