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基于均勻化混沌系統(tǒng)生成S盒的算法研究

臧鴻雁,  黃慧芳

臧鴻雁, 黃慧芳. 基于均勻化混沌系統(tǒng)生成S盒的算法研究[J]. 電子與信息學報, 2017, 39(3): 575-581. doi: 10.11999/JEIT160535
引用本文: 臧鴻雁, 黃慧芳. 基于均勻化混沌系統(tǒng)生成S盒的算法研究[J]. 電子與信息學報, 2017, 39(3): 575-581. doi: 10.11999/JEIT160535
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
Citation: 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

基于均勻化混沌系統(tǒng)生成S盒的算法研究

doi: 10.11999/JEIT160535
  • 1.

    (北京科技大學數(shù)理學院 北京 100083) ②(廈門大學嘉庚學院信息科學與技術(shù)學院 漳州 363105)

基金項目: 

國家自然科學基金(61170037)

Research on Algorithm of Generating S-box Based on Uniform Chaotic System

  • 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)

Funds: 

The National Natural Science Foundation of China (61170037)

  • 摘要: 該文給出了一個新的二次多項式混沌系統(tǒng)，并利用系統(tǒng)與Tent映射拓撲共軛的性質(zhì)，給出了系統(tǒng)的概率密度函數(shù)，基于概率密度的形式，進一步設計了一個變換函數(shù)，實現(xiàn)了系統(tǒng)的均勻化。針對均勻化前后的混沌系統(tǒng)構(gòu)造了S盒生成算法，對該算法產(chǎn)生的300個S盒進行差分概率(DP)和線性概率(LP)的統(tǒng)計分析，結(jié)果表明均勻化后混沌系統(tǒng)產(chǎn)生的S盒的DP和LP略優(yōu)于均勻化前的值。
    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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出版歷程
  • 收稿日期:  2016-05-26
  • 修回日期:  2016-10-27
  • 刊出日期:  2017-03-19

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