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新的基于双混沌系统和压缩感知的图像加密算法
作者姓名:杨宇光  曹国栋
作者单位:北京工业大学信息学部,北京 100124
基金项目:国家自然科学基金(62071015)
摘    要:Image encryption technology plays an important role in today’s multimedia applications and Internet information security transmission. However, most image encryption algorithms still have problems, for example, cipher images occupied high bandwidth during transmission, image encryption speed is slow, image encryption algorithms are not associated with plain image, and there is no complete ciphertext feedback mechanism. These prob-lems all affect the security and easy use of image encryption algorithms. In order to solve the above problems, the compressive sensing technology and chaotic system were studied, and a new image encryption algorithm based on double chaotic system and compressive sensing with plaintext association was proposed. The plaintext image association key was used to associate the plain image hash value with the Logistic chaotic system parameters. Discrete wavelet transform, was used to sparse the plain image. Then the random measurement matrix was generated by the Logistic chaos system, and the image was encrypted once by combining the compressive sensing technique and the random measurement matrix to obtain the intermediate image. The intermediate image was hashed again, and the Rucklidge chaos system initial value was associated with the plain image hash value together. The Rucklidge chaotic system and encryption algorithm were used to control the intermediate image for secondary encryption and accord-ingly obtain the cipher image. The encryption algorithm was a new plaintext correlation encryption algorithm, which used the image’s own pixel value to control the scrambling of the intermediate image. It also enhanced the plaintext association and established a ciphertext feedback mechanism. Simulation results and performance analysis show that the algorithm has good encryption performance. The encrypted image can be compressed according to the compres-sion ratio, effectively reducing the size of the cipher image. Moreover, it is resistant to common attacks such as known plaintext attack, selective plaintext attack and differential attack, which is better than other common image encryption algorithms. © 2022, Beijing Xintong Media Co., Ltd.. All rights reserved.

关 键 词:图像加密  压缩感知  双混沌系统  明文关联  离散小波变换

New image encryption algorithm based on double chaotic system and compressive sensing
Authors:Yuguang YANG  Guodong CAO
Affiliation:Faculty of Information Technology, Beijing University of Technology, Beijing 100124, China
Abstract:Image encryption technology plays an important role in today’s multimedia applications and Internet information security transmission.However, most image encryption algorithms still have problems, for example, cipher images occupied high bandwidth during transmission, image encryption speed is slow, image encryption algorithms are not associated with plain image, and there is no complete ciphertext feedback mechanism.These problems all affect the security and easy use of image encryption algorithms.In order to solve the above problems, the compressive sensing technology and chaotic system were studied, and a new image encryption algorithm based on double chaotic system and compressive sensing with plaintext association was proposed.The plaintext image association key was used to associate the plain image hash value with the Logistic chaotic system parameters.Discrete wavelet transform, was used to sparse the plain image.Then the random measurement matrix was generated by the Logistic chaos system, and the image was encrypted once by combining the compressive sensing technique and the random measurement matrix to obtain the intermediate image.The intermediate image was hashed again, and the Rucklidge chaos system initial value was associated with the plain image hash value together.The Rucklidge chaotic system and encryption algorithm were used to control the intermediate image for secondary encryption and accordingly obtain the cipher image.The encryption algorithm was a new plaintext correlation encryption algorithm, which used the image’s own pixel value to control the scrambling of the intermediate image.It also enhanced the plaintext association and established a ciphertext feedback mechanism.Simulation results and performance analysis show that the algorithm has good encryption performance.The encrypted image can be compressed according to the compression ratio, effectively reducing the size of the cipher image.Moreover, it is resistant to common attacks such as known plaintext attack, selective plaintext attack and differential attack, which is better than other common image encryption algorithms.
Keywords:image encryption  compressive sensing  double chaotic system  plaintext association  discrete wavelet transform  
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