双超混沌系统结合压缩感知和Fibonacci变换的彩色图像加密

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Double hyperchaotic systems combine compressed sensing and Fibonacci transform for color image encryption

JIA Jingwen1， ZHANG Zhaol*， ZHOU Hongyan²，CHEN Xuebo² （1.School of Computer Science and Software Engineering， University of Science and Technology Liaoning，Anshan11405l，China; 2. School of Electronic and Information Engineering，University of Science and TechnologyLiaoning，Anshanll4O5l，China） * Corresponding author，E-mail： zhangzhao@ustl. edu.cn

Abstract： In order to solve the problems in the existing chaotic image encryption algorithms，such as the weak chaotic property and low security of low-dimensional chaotic systems，the high transmision cost and large storage space of high-dimensional chaotic systems，as wellas the large occupied space and high transmission cost of traditional measurement matrices in compressed sensing technology，this paper proposed a color image encryption algorithm combining dual hyperchaotic systems with compressed sensing and Fibo nacci transformation.Firstly，the Arnold algorithm was optimized through the Lorenz hyperchaotic system to improve security. Secondly，the measurement matrix of compressed sensing was improved by using the 6D hyperchaotic system to reduce space resources and transmission costs. Thirdly，scrambling was performed using the 6D hyperchaotic system with a large key space and high security to enhance security. Finally，the Fibonacci Qmatrix was used for block difusion to enhanceunpredictability. In addition，the 2D projection gradient embedding decryption algorithm was introduced in image reconstruction. Compared with the traditional reconstruction algorithm，it had higher security and computational efficiency.Experimental results show that the information entropy exceeds 7.999，which is closer to the ideal value of 8， the correlation coeficient is close to O，the rate of pixel number change and the uniform change rate are close to the ideal values of 99.6094% and 33.4635% . While effectively protecting the security and integrity of the image，it has strong resistance to statistical attacks and differential attacks as well as better robustness.

Key words： image encryption;hyperchaotic system； compressed sensing； fibonacci Q-matrix

1引言

随着网络通信技术的进步，大量的信息通过世界各地的公共网络传输和存储，其中，图像是信息交换中最重要的媒介，它包含了直观和丰富的信息。（剩余16563字）