改进Arnold变换与量子混沌的图像加密系统  

Image Encryption Scheme Based on Improved Arnold Transform and Quantum Chaos

作　　者：黄林荃 刘会 张牧[3] HUANG Lin-quan;LIU Hui;ZHANG Mu(School of Computer Science and Technology,Hankou University,Wuhan 430212,China;School of Cyber Science and Engineering,Wuhan University,Wuhan 430079,China3.School of Computer Engineering,Jingchu University of Technology,Jingmen 448000,China)

机构地区：[1]汉口学院计算机学院,武汉430212 [2]武汉大学国家网络安全学院,武汉430079 [3]荆楚理工学院计算机工程学院,湖北荆门448000

出　　处：《小型微型计算机系统》2019年第9期1897-1902,共6页Journal of Chinese Computer Systems

摘　　要：本文设计了一种基于Arnold变换与混沌映射的图像加密系统.密钥生成器以安全哈希算法SHA-256为核心,产生改进离散Arnold变换和量子混沌映射的初始参数.改进离散Arnold变换是针对传统Arnold变换密钥空间不足、周期性、仅置换加密等缺点进行改进.本系统将传统离散Arnold变换中的矩阵A设计成一个动态矩阵,使其完全依赖于安全哈希算法SHA-256;同时在空间置换结束前为每个像素的坐标添加一对安全密钥,进一步扩大密钥空间.仅置换加密无法抵御统计分析,为克服这一缺陷,同时消除Arnold变换的周期性影响,本文在Arnold置换前利用量子混沌映射对每一个像素进行线性变换.实验结果表明,本文提出的加密系统能够抵御直方图分析、相关性分析、差分攻击、暴力攻击等多种典型攻击,具有很高的安全性和加密效率.An image encryption scheme based on Arnold transform map and chaotic map is proposed. Secure hash algorithm SHA-256 is used as the key generator to yield the initial parameters of the improved discrete Arnold transform and quantum chaotic map. The improved discrete Arnold transform is designed to eliminate defects of traditional Arnold transform,including small key space,periodicity,permutation-only. In the proposed scheme,the matrix A in Arnold transform is designed as a dynamic matrix,which is completely dependent on SHA-256. Meanwhile,a pair of security keys( ku,kv)~T is added to the coordinates for the larger key space. Permutation-only encryption can not resist statistical analysis. In order to overcome the defect and eliminate the periodicity of Arnold transform,the paper carries out linear transformation to each pixel values by quantum chaotic map to realize gray level encryption before Arnold permutation. The experimental results show that the proposed algorithm can defend various typical attacks,including histogram analysis,correlation analysis,differential attack,brute-force attack and so on. Therefore,the proposed image scheme has a high level of security and computational efficiency.

关 键 词：ARNOLD变换 量子混沌映射 动态矩阵 SHA-256 差分攻击 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]