A secure and robust image encryption algorithm based on compressive sensing and DNA coding

Wenji Bao

doi:10.1007/s11042-022-12623-7

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A secure and robust image encryption algorithm based on compressive sensing and DNA coding

2022-03-02

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Wenji Bao

Congxu Zhu *

DOI：10.1007/s11042-022-12623-7

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Abstract

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This paper proposed an image encryption algorithm combining compressive sensing and DNA coding. Firstly, the plain image is divided into three high-frequency blocks and one low-frequency block by haar wavelet transform. Then the chaotic sequence generated by Logistic map is used to scramble all the blocks. Next, the high-frequency blocks are measured by a measurement matrix which was constructed by using the Chen chaotic system. After that, we apply dynamic DNA coding and addition operation on all blocks, and DNA addition operations on the low-frequency block and high-frequency blocks are different specifically. Finally, we combine all blocks by row and scramble it by the Logistic map. What's more, the initial conditions of the used chaotic maps are calculated by the SHA256 value of the plain image which improved the algorithm's ability to resist known/chosen plaintext attacks. We analyze key space and sensitivity, information entropy, histogram, correlation coefficient of two adjacent pixels, differential attack, noise attack and occlusion attack of our algorithm with typical test images in different size. Experimental simulation results and analysis illustrated that the proposed algorithm has good performance of compression and encryption, showing that the proposed scheme is secure and robust to various typical attacks.

Keywords:

Image encryption

Chaos

Compressive sensing

DNA coding