摘要
提出一种基于标准映射和分数阶Lorenz混沌系统的图像加密新算法.标准映射的混沌特性分析表明其具有良好的遍历性,分数阶Lorenz混沌系统的复杂度分析显示分数阶混沌系统比整数阶混沌系统具有更复杂的空间结构和更优的混沌特性.图像加密算法采用置乱-扩散机制,置乱阶段采用由标准映射产生的随机序列对明文图像的像素位置进行置乱,在扩散阶段则采用整数阶和分数阶混沌系统相结合的方式对置乱后的图像进行扩散.关于本文所提出算法的安全性能分析包括密钥空间分析、密钥敏感分析、统计分析和差分攻击分析等分别被提出.所有的实验分析均表明提出算法具有非常强的鲁棒性,具有密钥空间大、密钥极端地依赖于明文、可以抵抗已知\选择明文攻击和选择密文攻击等,从而该算法具有较高的安全性和良好的应用前景.
A novel image encryption algorithm based on standard map and fractional-order Lorenz chaotic system is proposed. The chaotic analysis of standard mapping shows that it has good ergodicity and the complexity analysis of fractional-order Lorenz chaotic system shows that fractional-order chaotic system has more complex spatial structure and better chaotic properties than integer-order chaotic system. A novel image encryption algorithm based on standard map and fractional-order Lorenz chaotic system uses permutation-diffusion mechanism. In permutation stage, random sequence generated by standard map is applied to scramble the pixel positions of plaintext image. Integer-order and fractional-order chaotic systems are combined to diffuse the scrambled image in diffusion stage. The security and performance analysis have been performed,including key space analysis, key sensitivity analysis, statistical analysis and differential attack analysis, etc. All the experimental results demonstrate that the proposed image encryption scheme is highly secure and well applicable thanks to its strong robustness, large key space,extremely key sensitivity and especially its resistance of various known attack, such as chosen-cipher-text attack, chosen-plaintext attack and known-plaintext attack etc.
作者
陈裕城
邱一峰
叶瑞松
CHEN Yucheng;QIU Yifeng;YE Ruisong(Department of Mathematics,Shantou University,Shantou 515063, Guangdong, China)
出处
《汕头大学学报（自然科学版）》
2018年第2期13-31,共19页
Journal of Shantou University：Natural Science Edition
基金
国家自然科学基金资助项目(11771265)
