Image Encryption Algorithm Based on Piece Wise Linear Chaotic Map Integration With Linear Diophantine Equation

Zhang Hongtao · 2019

The current chaotic encryption system generally uses a fixed scrambling and diffusion key for encryption, which leads to low efficiency and security. This paper designs a fast image encryption method based on Linear Diophantine equation by constructing a dynamic diffusion mechanism. The coefficients of the Diophantine model are estimated by using the sequence output from the segmented chaotic map, and the Diophantine equation is solved according to the coefficients. A large number of scrambling keys and diffusion keys are generated by the index sorting method, and the scrambling and diffusion of sub images are processed respectively, thus greatly improving the security of the ciphertext. The test data shows that compared with other image encryption schemes, the proposed method has higher security and efficiency, and significantly reduces the time consumption.

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