基于混沌和线性反馈移位寄存器的彩色图像加密算法  

Color Image Encryption Algorithm Based on Chaos and Linear Feedback Shift Register

作　　者：秦秋霞 梁仲月 徐毅 QIN Qiu-xia;LIANG Zhong-yue;XU Yi(School of Computer Science and Engineering,Dalian Minzu University,Dalian Liaoning 116650,China;School of Science and Pre-university,Dalian Minzu University,Dalian Liaoning 116650,China)

机构地区：[1]大连民族大学计算机科学与工程学院,辽宁大连116650 [2]大连民族大学理学院、预科教育学院,辽宁大连116650

出　　处：《大连民族大学学报》2022年第5期441-447,共7页Journal of Dalian Minzu University

基　　金：国家自然科学基金资助项目(61672121)。

摘　　要：提出了一种基于混沌和线性反馈移位寄存器的彩色图像加密算法。原始图像使用MD2函数生成密钥,增大了算法的密钥空间;使用Logistic混沌映射和线性反馈移位寄存器原理分别生成密钥矩阵,两个密钥矩阵使用按位异或的方式生成最终的密钥矩阵,确保密钥矩阵的随机性;最终密钥矩阵与原始图像进行异或操作得到加密图像。通过仿真实验和安全性分析,结果表明:本算法得到的信息熵值约为7.9992,接近于理想值,可以有效打破图像相邻像素的相关性,其他各项安全性系数结果良好。另外,整个加解密过程运行时间短,效率更高,实时性更强,适用于图像加密。This paper proposes a color image encryption algorithm based on chaotic and linear feedback shift registers.The original image uses the MD2 function to generate the key,which increases the key space of the algorithm.The Logistic chaotic mapping and linear feedback shift register principles are used to generate key matrices respectively.The two key matrices use bitwise XOR to generate the final key matrix to ensure the randomness of the key matrix.The final key matrix is XORed with the original image to get the encrypted image.Simulation experiments and security analysis results show that the information entropy value obtained by this algorithm is about 7.9992,which is close to the ideal value,which can effectively break the correlation between adjacent pixels of the image,and the results of other security coefficients are good.In addition,the entire encryption and decryption process has a shorter running time,higher efficiency,and stronger real-time performance,which is suitable for image encryption.

关 键 词：MD2 LOGISTIC混沌映射 线性反馈移位寄存器 按位异或 

分 类 号：TP312[自动化与计算机技术—计算机软件与理论]