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基于连续混沌系统多轨道混合的图像加密算法
引用本文:叶瑞松,谭相波.基于连续混沌系统多轨道混合的图像加密算法[J].汕头大学学报(自然科学版),2014(4):8-19.
作者姓名:叶瑞松  谭相波
作者单位:汕头大学数学系,广东汕头515063
摘    要:论文提出一种基于连续混沌系统的多轨道混合的图像加密算法,其中使用的连续混沌系统是一个四维常微分方程组.利用该四维常微分方程组系统的混沌特性,给定两个初始状态值,用四阶龙格库塔方法数值求解生成两条轨道,借助一个离散混沌动力系统帐篷映射生成随机序列来选择轨道点,生成一个混合轨道,并对轨道进行预处理,生成具有更好随机性的整数序列,用于灰度图像的置乱和扩散加密.论文对加密算法的安全性和各种性能进行了实验模拟和分析,包括了直方图、相关系数、信息熵、密钥敏感分析、密钥空间分析和差分分析等.实验结果证明算法是安全有效的,各种性能指标均很好,达到理想的结果.

关 键 词:混沌  帐篷映射  连续动力系统  置乱  扩散

A Multi-Orbit Hybrid Image Encryption Scheme Based on Continuous Chaotic Dynamical Systems
YE Ruisong,TAN Xiangbo.A Multi-Orbit Hybrid Image Encryption Scheme Based on Continuous Chaotic Dynamical Systems[J].Journal of Shantou University(Natural Science Edition),2014(4):8-19.
Authors:YE Ruisong  TAN Xiangbo
Institution:(Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China)
Abstract:dynamical utilized to A multi-orbit hybrid systems is generate proposed, two orbits image encryption scheme based on continuous chaotic in which one 4D ordinary differential equation system is for two initial conditions. Another chaotic dynamical system, tent map, is applied to generate one pseudo-random sequence to determine the orbit points from the three orbits of the continuous dynamical system. The hybrid orbit sequence is then improved to get pseudo-random sequences and utilized to shuffle the pixels' positions of plain-image so as to get one permuted image. To enhance the encryption security, two rounds of pixel gray values' diffusion is employed as well. The security and performance of the proposed image encryption have been analyzed, including histograms, correlation coefficients, information entropy, key sensitivity analysis, key space analysis, differential analysis, etc. All the experimental results suggest that the proposed image encryption scheme is robust and secure and can be used for secure image and video communication applications.
Keywords:chaos  continuous dynamical system  tent map  image scrambling  image diffusion
本文献已被 CNKI 维普 等数据库收录!
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