基于扰动时空混沌系统的动态S盒设计  

Design of Dynamic S-Box Based on Perturbed Spatiotemporal Chaotic System

作　　者：赵耿[1] 马英杰[1] 陈磊[2] 董有恒 侯艳丽 ZHAO Geng;MA Ying-jie;CHEN Lei;DONG You-heng;HOU Yan-li(Beijing Electronic Science and Technology Institute,Beijing 100070,China;Beijing University of Posts and Telecommunications,Beijing 100876,China;Xidian University,Xi’an,Shaanxi 710071,China)

机构地区：[1]北京电子科技学院,北京100070 [2]北京邮电大学,北京100876 [3]西安电子科技大学,陕西西安710071

出　　处：《电子学报》2022年第8期2037-2042,共6页Acta Electronica Sinica

基　　金：国家自然科学基金(No.61772047);北京高校“高精尖”学科建设项目(No.3201017)。

摘　　要：传统时空混沌系统的分布比较集中,其生成序列的均匀性较差,本文基于初等元胞自动机构造了新型扰动单向耦合映像网络时空混沌系统,系统的分布图和相图数值仿真结果表明了扰动系统能够改善原系统的均匀性,提高系统的动力学复杂性.采用均匀化的扰动时空混沌系统设计了动态S盒生成算法,根据动态更新策略生成动态S盒,对该算法产生的S盒进行非线性度、严格雪崩准则和差分均匀性的统计分析,结果表明均匀化扰动时空混沌系统产生的动态S盒安全性更高.The distribution of traditional spatiotemporal chaotic system is relatively concentrated,and the uniformity of its generating sequence is poor.In this paper,a new spatiotemporal chaotic system with perturbed one-way coupled map lattice is constructed based on elementary cellular automata.The numerical simulation results of the distribution diagram and phase diagram of the system show that the perturbed system can improve the uniformity of the original system and increase the dynamic complexity of the system.A dynamic S-box generation algorithm is designed based on the homogenized disturbed spatiotemporal chaotic system,and the dynamic S-box is generated according to the dynamic update strategy.The statistical analysis of nonlinearity,strict avalanche criterion and differential uniformity of the S-box generated by the algorithm is carried out.The results show that the dynamic S-box generated by the homogenized disturbed spatiotemporal chaotic system is more secure.

关 键 词：时空混沌 初等元胞自动机 扰动 动态S盒 安全性分析 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]