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Image adaptive encryption algorithm using a novel 2D chaotic system

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Abstract

In this paper, a universal two-dimensional (2D) enhanced cosine coupled model (2D-ECCM) is first designed, which can construct new 2D chaotic systems using most of the existing two one-dimensional (1D) maps as the seed maps. And a novel 2D Logistic-sine coupled map (2D-NLSCM) and a new 2D cubic-tent coupled map (2D-NCTCM) are generated by using the 2D-ECCM, and their chaotic features are analyzed by bifurcation diagram, trajectory, Lyapunov exponent spectrum, etc. Performance analyses show that two new maps have better chaotic behaviors than some state-of-the-art 2D chaos. Then, using the 2D-NLSCM, an image adaptive encryption algorithm is further designed. We propose an adaptive scrambling method to scramble image pixels directly by combining the target image information, and a bidirectional-sequential diffusion method for image pixels diffusion. The image adaptive scrambling can change the pixel values while effectively scrambling the pixel positions. And the bidirectional-sequential diffusion can be achieved to diffuse a minor change of a pixel value in the original image to all pixels of the encryption image. Therefore, the proposed algorithm is closely related to the target image in the encryption process. Moreover, the key of the proposed encryption algorithm is updated through the hash function SHA-512, which further increases the security of the algorithm. Ultimately, simulation experiment shows that the designed encryption algorithm has superior encryption efficiency. Performance analysis results indicate that the designed encryption algorithm, with average information entropy of 7.9988 and average chi-square of 238.3495, can withstand a series of common cryptanalytic attacks.

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Data availability statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

Notes

  1. https://sipi.usc.edu/database/.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 61573004, in part by the Pilot Project of Fujian Province under Grant 2022H0017, in part by the innovation Fund Project of Fujian Province of China under Grant No. 2022C0037, and in part by the Quanzhou City Science & Technology Major Special Pilot Project of China under Grant No. 2022GZ1.

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Authors and Affiliations

  1. College of Information Science and Engineering, Huaqiao University, Xiamen, 361021, China

    Zezong Zhang & Jianeng Tang

  2. College of Engineering, Huaqiao University, Quanzhou, 362021, China

    Jianeng Tang & Tingting Huang

  3. Fujian MM Electronics Co., Ltd., Quanzhou, 362000, China

    Hui Ni

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  1. Zezong Zhang
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  2. Jianeng Tang
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  3. Hui Ni
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Correspondence to Jianeng Tang.

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Zhang, Z., Tang, J., Ni, H. et al. Image adaptive encryption algorithm using a novel 2D chaotic system. Nonlinear Dyn 111, 10629–10652 (2023). https://doi.org/10.1007/s11071-023-08397-8

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