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| 5元1-弹性函数的代数免疫阶 | |
| 引用本文： | 杜蛟,温巧燕,张劼,宋守超. 5元1-弹性函数的代数免疫阶[J]. 通信学报, 2011, 32(4): 17-24 |
| 作者姓名： | 杜蛟 温巧燕 张劼 宋守超 |
| 作者单位： | 1. 北京邮电大学网络与交换技术国家重点实验室,北京,100876;新乡学院数学系,河南新乡,453003 2. 北京邮电大学网络与交换技术国家重点实验室,北京,100876 3. 北京邮电大学理学院,北京,100876 |
| 基金项目： | 国家自然科学基金资助项目，河南省教育厅自然科学研究计划基金资助项目，河南省科技创新杰出青年计划基金资助项目，新乡学院科技创新基金资助项目 |
| 摘 要： | 首先给出了最优代数免疫布尔函数弹性阶的一个上界,并且证明了一类5元1阶弹性函数不是最优代数免疫函数,得到了最优代数免疫函数具有一阶弹性时可能的结构形式;在此基础上,给出了布尔函数代数免疫阶和弹性阶随着变元个数变化的一些结果,最后给出了一个5元1阶弹性的最优代数免疫布尔函数。 |
| 关 键 词： | 布尔函数 零化子 代数免疫 相关免疫 |
On the algebraic immunity for lst-resilience Boolean functions with five variables |
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| DU Jiao,WEN Qiao-yan,ZHANG Jie,SONG Shou-chao. On the algebraic immunity for lst-resilience Boolean functions with five variables[J]. Journal on Communications, 2011, 32(4): 17-24 | |
| Authors: | DU Jiao WEN Qiao-yan ZHANG Jie SONG Shou-chao |
| Affiliation: | DU Jiao1,2,WEN Qiao-yan1,ZHANG Jie3,SONG Shou-chao3(1.State Key Laboratory of Networking and Switching Technology,Beijing University of Posts and Telecommunications,Beijing 100876,China,2.Department of Mathematics,Xinxiang University,Xinxiang 453003,3.School of Science,China) |
| Abstract: | An upper bound of the resilience of Boolean functions with optimal algebraic immunity was proposed,proved that the algebraic immunity of a special family of 1st-resilience Boolean functions with five variables were not optimal,and demonstrated some possible structures of the 1st-resilience Boolean functions with optimal algebraic immunity.In addition,the relationships among the number of the variables,the algebraic immunity,and the resilient order were stidied.At last,a 1st-resilience Boolean function with ... |
| Keywords: | Boolean function annihilator algebraic immunity correlation immunity |
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