| 基于均匀化混沌系统生成S盒的算法研究 |
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| 引用本文： | 臧鸿雁, 黄慧芳. 基于均匀化混沌系统生成S盒的算法研究[J]. 电子与信息学报, 2017, 39(3): 575-581. doi: 10.11999/JEIT160535 |
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| 作者姓名： | 臧鸿雁 黄慧芳 |
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| 作者单位： | 1.(北京科技大学数理学院 北京 100083) ②(厦门大学嘉庚学院信息科学与技术学院 漳州 363105) |
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| 基金项目： | 国家自然科学基金(61170037) |
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| 摘 要： | 该文给出了一个新的二次多项式混沌系统，并利用系统与Tent映射拓扑共轭的性质，给出了系统的概率密度函数，基于概率密度的形式，进一步设计了一个变换函数，实现了系统的均匀化。针对均匀化前后的混沌系统构造了S盒生成算法，对该算法产生的300个S盒进行差分概率(DP)和线性概率(LP)的统计分析，结果表明均匀化后混沌系统产生的S盒的DP和LP略优于均匀化前的值。
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| 关 键 词： | 混沌系统 均匀化 拓扑共轭 S盒 |
| 收稿时间： | 2016-05-26 |
| 修稿时间： | 2016-10-27 |
Research on Algorithm of Generating S-box Based on Uniform Chaotic System |
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| ZANG Hongyan, HUANG Huifang. Research on Algorithm of Generating S-box Based on Uniform Chaotic System[J]. Journal of Electronics & Information Technology, 2017, 39(3): 575-581. doi: 10.11999/JEIT160535 |
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| Authors: | ZANG Hongyan HUANG Huifang |
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| Affiliation: | 1. (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China);;2. (School of Information Science and Technology, Xiamen University Tan Kah Kee College, Zhangzhou 363105, China) |
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| Abstract: | A new quadratic polynomial chaotic system is given and homogenized based on its probability density function. Then, based on the chaotic systems before and after homogenization, an S-box generation algorithm is constructed. By numerical simulation, the algorithm dynamically generates 300 S-boxes and then analyses their Differential Probability (DP) and Linear Probability (LP). The statistical results show that the uniform chaotic system can produce better performance of S-boxes. |
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| Keywords: | Chaotic system Homogenization Topological conjugation S-box |
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