基于Logistic映射与矩阵像素置乱加密算法研究  

Research on Logistic mapping and matrix pixel scrambling encryption algorithm

作　　者：杨永波 李栋 YANG Yongbo;LI Dong(College of Information Engineering,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学信息工程学院,内蒙古呼和浩特010051

出　　处：《现代电子技术》2022年第16期139-144,共6页Modern Electronics Technique

基　　金：内蒙古自治区高等学校科学研究项目(NJZY21304)。

摘　　要：混沌系统在图像加密技术领域逐渐被广泛应用,相对于传统方法,通过混沌系统对信息加密,可有效提高信息加密的安全性和效率。为了得到安全性更好和效率更高的加密算法,通过对传统加密方法即矩阵的像素置乱变换加密算法原理的分析,文中提出一种新的改进型Logistic混沌映射算法。该方法对图像的像素进行置乱,让其形成随机序列,再通过Logistic映射迭代产生随机序列,用合适的方法生成密匙信息;然后,与明文信息进行异或运算,形成密文信息,得到一个新的基于Logistic混沌映射的图像加密方案。为了更清楚地验证新加密算法的优越性,对该算法进行安全性、效率等方面的性能分析比较。结果表明,文中加密算法能有效地对抗各种干扰,有非常好的密码学特性,安全性得到极大提高。The chaotic system has been widely used in the field of image encryption technology.In comparison with traditional methods,the chaotic system used for the information encryption can effectively improve the security and efficiency of information encryption.In order to obtain the encryption algorithm with better security and higher efficiency,a new improved Logistic chaotic mapping algorithm is proposed by analyzing the principle of the traditional encryption method,namely,matrix pixel scrambling transformation encryption algorithm.In this method,the pixels of the image are scrambled to form a random sequence,and then the random sequence generated by logistic map iteration is used to generate the key information with an appropriate method.The XOR(exclusive OR)operation is carried out with the plaintext information to form the ciphertext information,and a new image encryption scheme based on Logistic chaotic mapping is obtained.The security and efficiency of the algorithm are analyzed and compared to more clearly verify the superiority of the new encryption algorithm.The results show that the encryption algorithm can effectively resist all kinds of jamming,has very good cryptography characteristics,and the security has been greatly improved.

关 键 词：图像加密 改进型Logistic映射 混沌系统 随机序列 异或运算 性能比较 

分 类 号：TN915-34[电子电信—通信与信息系统]