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Image encryption algorithm with 2D coupled discrete chaos

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Abstract

A two-dimensional coupled discrete chaotic system is constructed by combining a two-dimensional coupled map lattice with a dynamic discrete tent map. The system has good initial value sensitivity and can quickly generate multi-dimensional integer pseudo-random sequences with uniform distribution properties. Based on this system, a color image encryption algorithm is designed, using the integer pseudo-random sequence generated by the two-dimensional coupled discrete chaos to construct the diffusion function, complete the diffusion operation of pixels, and achieve the position permutation of pixels by using the uniform distribution property of the chaotic sequence to realize the image encryption operation. The simulation results prove that the algorithm has a large key space, high key sensitivity and high security, and can effectively resist common cryptanalysis,and meet the demand for the secure transmission of image data.

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Data availability

The datasets generated during and analysed during the current study are available in the ScienceDB repository [https://www.scidb.cn/anonymous/cUliRWJp], also available from the corresponding author on reasonable request.

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Funding

Beijing Municipal Institution Classification Development Project (11000023T000002199202).

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Authors and Affiliations

  1. School of Information Engineering, Beijing Institute of Petrochemical Technology, Beijing, 102617, People’s Republic of China

    Bo Li, Jiandong Liu, Yujie Liu, Haoqiang Xu & Jin Wang

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  1. Bo Li
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  3. Yujie Liu
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  4. Haoqiang Xu
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  5. Jin Wang
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Correspondence to Bo Li.

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Li, B., Liu, J., Liu, Y. et al. Image encryption algorithm with 2D coupled discrete chaos. Multimed Tools Appl 82, 35379–35400 (2023). https://doi.org/10.1007/s11042-023-15002-y

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