A secure image encryption scheme with compression-confusion-diffusion structure
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A secure image encryption scheme with compression-confusion-diffusion structure Shuqin Zhu 1 & Congxu Zhu 2,3
1
1
& Yu Fu & Weimeng Zhang & Xiaoting Wu
1
Received: 29 February 2020 / Revised: 7 August 2020 / Accepted: 21 August 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
This paper presents a novel image compression-encryption scheme, which has the compression-confusion-diffusion Structure. Firstly, based on Chebyshev chaotic map, a Gauss measurement matrix is constructed and optimized, which is applied to compressive sensing. Then, an image compression-encryption algorithm is proposed by using a sixdimensional discrete chaotic map. In the proposed scheme, the original image is transformed into a sparse coefficient matrix by discrete wavelet transform, and the sparse coefficients are measured by using the optimized Gauss measurement matrix to get the measured values. Then, the measured values are quantized into integer values and the compressed image is obtained. Furtherly, the compressed image is encrypted by using a six-dimensional chaotic map. In the process of encryption, the plaintext image is divided into two parts, when encrypting the second part, the first part is used as part of the key. While encrypting the first part, the ciphertext of the second part is used as part of the key. Thus, the algorithm has strong confusion and diffusion effect and makes ciphertext sensitive to plaintext. Experimental results such as effects of compression-encryption, key space analysis, key sensitivity analysis, differential analysis, histograms analysis, information entropy analysis, and correlation coefficients analysis show that the proposed scheme is secure and has high application potential. Keywords Chaos . Image encryption . Compressive sensing . Discrete hyper-chaotic map
* Congxu Zhu [email protected] Shuqin Zhu [email protected]
1
School of Computer Science, Liaocheng University, Liaocheng 252059, China
2
School of Computer Science and Engineering, Central South University, Changsha 410083, China
3
Key Laboratory of Network Crime Investigation of Hunan Provincial Colleges, Hunan Police Academy, Changsha 410138, China
Multimedia Tools and Applications
1 Introduction With the rapid development of communication technology, the application and exchange of digital images on the Internet is becoming more and more popular. Therefore, encryption and compression methods are very important for the real-time security of image storage and transmission on the network. Encryption is to prevent information leakage, while compression is to reduce the volume of plaintext. The traditional encryption algorithm is no longer suitable for image encryption due to image data has the characteristics of large amount of data and high redundancy, which is different from text data. Chaotic systems have the properties of ergodic and high sensitivity which can be considered analogous to some ideal cryptographic properties for image encryption [1, 12] and are employed into both permutatio
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