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Dynamical analysis of four-dimensional chaotic system and its application in image encryption

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Abstract

In this paper, a phase diagram of a four-dimensional chaotic system is established by introducing cosine function into Lorenz system. Then 0-1 test, complexity, and offset boosting, National Institute of Standards and Technology (NIST) test is conducted on the pseudo-random sequence generated by the system. Result shows that the system is suitable for image encryption. Combining with the proposed system, an image encryption algorithm based on hash and deoxyribonucleic acid (DNA) is designed. In this algorithm, through the plaintext hash value generated by the system initial values and the number of iterations to generate chaos sequence. By reordering the sequence of indexes to scrambling plaintext. In the diffusion module, we use XOR and cyclic left shift to get the final ciphertext. After simulation and security analysis, the algorithm has good encryption efficiency and security. It can resist most common attacks.

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Data Availability

The datasets analyzed during the current study are available from the corresponding author on reasonable resquest.

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Acknowledgements

This research is supported by the Natural Science Foundation of Gansu Province(No.20JR5RA531).

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    Authors and Affiliations

    1. College of Physics and Electronic Engineering, Northwest Normal University, 967 Anning East Road, Lanzhou, 730070, Gansu, China

      Shaohui Yan, Binxian Gu, Yu Ren, Xi Sun & Ertong Wang

    2. Gansu Intelligent Information Technology and Application Engineering Research Center, Lanzhou, 730070, Gansu, China

      Shaohui Yan

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    1. Shaohui Yan
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    2. Binxian Gu
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    4. Xi Sun
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    Correspondence to Shaohui Yan.

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    Binxian Gu, Yu Ren, Xi Sun and Ertong Wang contributed equally to this work.

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    Yan, S., Gu, B., Ren, Y. et al. Dynamical analysis of four-dimensional chaotic system and its application in image encryption. Multimed Tools Appl 82, 21509–21534 (2023). https://doi.org/10.1007/s11042-022-14026-0

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    • DOI: https://doi.org/10.1007/s11042-022-14026-0

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