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A novel image encryption scheme based on 2D SILM and improved permutation-confusion-diffusion operations

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Abstract

Security issues of digital images have rapidly become a frontier research focus in the past decades. When a chaotic system is applied to encrypt image, it usually requires large parameter space, high ergodicity and easy implementation. In this paper, taking Sine and ICMIC map as seed maps, a novel 2D hyperchaotic Logistic map (2D-SILM) is designed based on the 2D parameter modulation model (PMM). Its dynamics are analyzed by means of attractor diagrams, Lyapunov exponent spectrum (LEs) and complexity diagrams. The results along with NIST SP-800 test prove the feasibility of 2D-SILM. Based on 2D-SILM and DNA coding, a reliable image encryption scheme is proposed with two-round improved permutation-confusion-diffusion operations. SHA-512 function is introduced in the generation of the secret key. After applying the effective permutation process called chaotic grouping shuffle (CGS) on pixels position, DNA sequences procedures varied from different rounds are used to confuse the image pixels value. Finally, a novel diffusion method containing row and column operation is designed. Simulation results of some indexes validate the security and efficiency of the proposed algorithm. It also shows better resistance to typical attacks.

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Data Availability

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

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 62071496, 61901530, 62061008).

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Authors and Affiliations

  1. School of Physics and Electronics, Central South University, YueLu Street, Changsha, 410083, Hunan, China

    Xinkang Liu, Kehui Sun & Huihai Wang

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  1. Xinkang Liu
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  2. Kehui Sun
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  3. Huihai Wang
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Correspondence to Kehui Sun.

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Liu, X., Sun, K. & Wang, H. A novel image encryption scheme based on 2D SILM and improved permutation-confusion-diffusion operations. Multimed Tools Appl 82, 23179–23205 (2023). https://doi.org/10.1007/s11042-022-14133-y

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  • DOI: https://doi.org/10.1007/s11042-022-14133-y

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