基于混沌映射和二次剩余密码的彩色图像加密方法  

Color image encryption method based on chaotic map and quadratic residue cryptosystems

作　　者：韩栋[1] 王春华 肖敏[2] Han Dong;Wang Chunhua;Xiao Min(School of Information Engineering,Huanghuai University,Zhumadian Henan 463000,China;School of Computer Science&Technology,Wuhan University of Technology,Wuhan 430063,China)

机构地区：[1]黄淮学院信息工程学院,河南驻马店463000 [2]武汉理工大学计算机科学与技术学院,武汉430063

出　　处：《计算机应用研究》2018年第9期2757-2761,共5页Application Research of Computers

基　　金：河南省科技厅科技计划资助项目(182102310949);国家自然科学基金资助项目(61304172);河南省科技计划资助项目(172102210117);河南省驻马店市科技计划资助项目(17135)

摘　　要：针对彩色图像的有效加密问题,提出了一种基于logistic混沌映射和二次剩余密码体制的彩色图像加密方法。使用了一组对称的128 bit的密钥,并以此计算logistic混沌映射的初始条件和控制参数;通过具有不同参数的两级logistic混沌序列对图像像素进行两级置乱;最后,通过二次剩余密码体制对置乱图像中像素值进行改变,实现图像像素的扩散。仿真结果表明,该方法在密钥敏感性、相邻像素相关性、明文敏感性和信息熵等方面具有优越的性能,且加密速度较快。For the issues that the efficient encryption of color images,this paper proposed a color image encryption method based on Logistic chaotic map and quadratic residual cryptosystem.Firstly,it used a set of symmetric 128-bit keys,and calculated the initial conditions and control parameters of the Logistic chaotic map.Then,it carried out the two-level scrambling of the image pixels by two Logistic chaotic sequences with different parameters.Finally,it changed the pixel value of the image by the quadratic residue cryptosystems to realize the diffusion of image pixels.The simulation results show that the method has superior performance in key sensitivity,adjacent pixel correlation,plaintext sensitivity and information entropy,and the encryption speed is faster.

关 键 词：彩色图像加密 LOGISTIC混沌映射 二次剩余密码 两级图像置乱 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]