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二维Sine-Tent超混沌映射及其在图像加密中的应用

         

摘要

In order to enhance the complexity and chaotic behaviors of chaotic map structure,and improve the security of image en-cryption algorithm,this paper proposes a Sine-Tent map-based hyper chaotic image encryption algorithm. First of all,we add nonlinear terms with Sine and Tent chaotic maps,and use one of the variables as a disturbance source to perturb the iterative process of the cha-otic map,then,built a two-dimension hyper chaotic compound map,and then we verify the hyper behavior with Lyapunov index and bifurcation diagram,etc. Furthermore,we provide a bit-level permutation combing with the and pixel-level diffusion strategy,in the or-der of rows and columns and scramble the plain image 2 times,the scrambled image is then diffused twice and get the ciphertext. Fi-nally,we evaluate the algorithm by various types of security analyses such as key space size,difference attack analysis,correlation a-nalysis,local information entropy analysis and algorithm robustness. Theoretical and experimental simulation verified the effectiveness and practicability of the algorithm%为了进一步增强混沌映射结构的复杂性,提高混沌映射的混沌性能达到增强图像加密算法的目的,本文提出了一种复合一维Sine和Tent混沌映射的二维超混沌图像加密算法.首先,将一维Sine混沌映射和一维Tent映射增加非线性项,将其中的一个变量作为扰动源对混沌映射的迭代过程进行扰动.构建了一个二维Sine-Tent超混沌复合映射,通过Lyapunov、分岔图指数等衡量标准,对该映射的超混沌特性进行了验证.基于此混沌映射,采用"比特级置乱-比特级扩散"策略,按照行列的顺序,对图像进行两次置乱,然后将置乱后的图像进行两次扩散,得到密文图像.最后通过密钥空间大小,差分攻击分析,自相关性分析,局部信息熵,算法鲁棒性进行了算法安全性分析,理论分析和实验仿真验证了该算法的有效性和实用性.

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