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A novel hyperchaotic image encryption algorithm with simultaneous shuffling and diffusion

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Abstract

The performance of an image encryption algorithm based on chaos is largely determined by the nonlinear characteristics of the underlying chaotic system. This paper proposes a mixed one- and two-dimensional chaotic map (MOTDCM) that has a wider hyperchaotic interval, a larger maximum Lyapunov exponent, and more complex nonlinear dynamics than most existing chaotic systems. Using the hyperchaotic sequences generated by the MOTDCM, a novel image encryption algorithm with different structures is proposed, in which shuffling and diffusion are carried out simultaneously from the perspective of the whole input image. Simulation results and a comparative analysis show that the proposed encryption algorithm has a large key space, high sensitivity to the secret key, and good statistical ciphertext properties. It has a better diffusion effect than existing algorithms and meets the imposed security requirements within only one round of operation, with a reduction in algorithm complexity and an improvement in encryption efficiency. Experimental results demonstrate that this encryption algorithm has good performance and can resist chosen-plaintext attacks and known-plaintext attacks effectively.

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Acknowledgements

This research is supported by The National Key Research and Development Program of China (no.2018YFB1702902) and The National Natural Science Foundations of China under grants nos. 61763028 and 61862040. The authors gratefully acknowledge the anonymous reviewers for their helpful comments and suggestions.

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Authors and Affiliations

  1. School of Computer and Communication, Lanzhou University of Technology, Lanzhou, 730050, China

    Xiangquan Gui, Jun Huang, Li Li & Jie Cao

  2. School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, China

    Shouliang Li

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  1. Xiangquan Gui
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  2. Jun Huang
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  3. Li Li
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Correspondence to Jun Huang.

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Gui, X., Huang, J., Li, L. et al. A novel hyperchaotic image encryption algorithm with simultaneous shuffling and diffusion. Multimed Tools Appl 81, 21975–21994 (2022). https://doi.org/10.1007/s11042-022-12239-x

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  • DOI: https://doi.org/10.1007/s11042-022-12239-x

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