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Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box

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Abstract

Chaotic systems are widely used in image encryption due to their sensitivity to initial values, ergodicity, and other properties; many image encryption algorithms based on chaotic systems have been studied in the past few years. To obtain a more secure encryption algorithm, this work firstly proposes a new two-dimensional discrete hyperchaotic map, which has a wider continuous chaotic interval, larger Lyapunov exponents and passed all NIST and part of TestU01 tests. Then, we apply the proposed map to generate S-boxes and combine them in pairs; finally, twelve S-boxes are obtained, and the elements of the plaintext image are grouped, each group of pixels is summed, and modular operations are used to specify specific S-boxes. Next, each set of elements is bitwise XOR with the corresponding S-box. Finally, the cipher image is obtained by scrambling using chaotic signal. Experiments show that compared with some other encryption algorithms, the proposed S-box-based encryption method has higher security, and it resists to common attacks.

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Data availability statements

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

This research is supported by the National Natural Science Foundation of China (No: 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No: MMJJ20170203), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No: XLYC1802013), Key R&D Projects of Liaoning Province (No: 2019020105-JH2/103), Jinan City'20 universities' Funding Projects Introducing Innovation Team Program (No: 2019GXRC031), the Science and Technology Research Program of Chongqing Municipal Education Commission (Nos: KJQN201900529 and KJQN202100506).

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Authors and Affiliations

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, China

    Shuang Zhou & Yuyu Qiu

  2. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Xingyuan Wang

  3. School of Electrical Engineering and Artificial Intelligence, Xiamen University Malaysia, 43900, Sepang, Malaysia

    Yingqian Zhang

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  1. Shuang Zhou
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Correspondence to Shuang Zhou.

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Zhou, S., Qiu, Y., Wang, X. et al. Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box. Nonlinear Dyn 111, 9571–9589 (2023). https://doi.org/10.1007/s11071-023-08312-1

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