| 基于TD-ERCS序列的S盒非线性度优化算法 |
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| 引用本文： | 张雪锋,卫凯莉,姜文. 基于TD-ERCS序列的S盒非线性度优化算法[J]. 信息网络安全, 2021, 0(1): 10-18 |
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| 作者姓名： | 张雪锋 卫凯莉 姜文 |
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| 作者单位： | 西安邮电大学网络空间安全学院;国家计算机网络应急技术处理协调中心 |
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| 基金项目： | 陕西省自然科学基础研究计划[2017JQ6010];陕西省教育厅专项科学研究计划[18JK0717]。 |
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| 摘 要： | 针对基于混沌系统生成的S盒存在非线性度较低等问题,文章针对基于切延迟椭圆反射腔映射系统(TD-ERCS)生成S盒的方法,首先证明了生成的S盒具有双射性,在此基础上,设计了一种改进的爬山算法,通过动态缩小布尔函数Walsh-Hadamard变换(WHT)的选取范围,将满足条件的6个布尔值进行取反运算,有效提升了双射S盒非...
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| 关 键 词： | TD-ERCS 双射性 非线性度 |
The Nonlinearity Optimization Algorithm of S-box Based on TD-ERCS Sequence |
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| ZHANG Xuefeng,WEI Kaili,JIANG Wen. The Nonlinearity Optimization Algorithm of S-box Based on TD-ERCS Sequence[J]. Netinfo Security, 2021, 0(1): 10-18 |
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| Authors: | ZHANG Xuefeng WEI Kaili JIANG Wen |
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| Affiliation: | (College of Cyberspace Security,Xi’an University of Posts and Telecommunications,Xi’an 710121,China;National Internet Emergency Center,Beijing 100029,China) |
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| Abstract: | Aiming at the problems that the S-boxes generated by chaotic systems have lower nonlinearity,in this paper,aims at the method of generating S-boxes based on a mapping system of tangent-delay ellipse reflecting cavity(TD-ERCS),proves the S-boxes have bijection firstly.On this basis,an improved hill-climbing algorithm is designed.By dynamically reducing the selection ranges of Walsh-Hadamard transform(WHT)of Boolean functions,and inverting six Boolean values satisfying the conditions,the nonlinearities of bijective S-boxes are improved.Theoretical and experimental simulation analysis shows that,the performance of S-boxes generated by optimization algorithm is improved effectively,and has better performance in algorithm efficiency,nonlinearity,strict avalanche criterion and differential approximation probability. |
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| Keywords: | TD-ERCS bijection nonlinearity |
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