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A novel trigonometric 3D chaotic map and its application in a double permutation-diffusion image encryption

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Abstract

In this paper, we introduce a new three-dimensional cosines-sinus-cosines (3D-CSC) chaotic system. The performance evaluations of the proposed system exhibit a high chaotic behavior, an infinite chaotic range of its three control parameters, and a high sensitivity to initials conditions and control parameters. Especially, when compared with other existing 3D chaotic systems. Additionally, it is possible to extend the dimensions of 3D-CSC to 3 times N while maintaining the same high level of performance, and also incorporate additional control parameters of 3D-CSC. Furthermore, we present an innovative application of 3D-CSC in the development of a novel image encryption algorithm with enhanced security features. Our proposed algorithm utilizes a permutation-diffusion architecture applied in four distinct steps, including recursive XOR operation, arithmetic modular, and chaotic circular shift (both horizontal and vertical). This suggested method can be applied to various sorts of images (real-life images, medical images, biometric images). Obtained results demonstrate that the proposed algorithm combined with 3D-CSC is reliable and more powerful than other previous encryption algorithms, in terms of high-security level against statistical and differential attacks, a large keyspace, and its significant sensitivity. Moreover, despite the complexity of its architecture, it exhibits a high-speed level.

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Data availability

The data used to support the funding of this study are in USC-SIPI image dataset at https://sipi.usc.edu/database/

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Authors and Affiliations

  1. ETA Laboratory, Department of electronics, Faculty of technology, University of Mohamed El Bachir El Ibrahimi, 34000, Bordj Bouarreridj, Algeria

    Yahi Amina, Tewfik Bekkouche, Mohamed El Hossine Daachi & Nacira Diffellah

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  1. Yahi Amina
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  2. Tewfik Bekkouche
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  3. Mohamed El Hossine Daachi
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  4. Nacira Diffellah
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Correspondence to Yahi Amina.

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Amina, Y., Bekkouche, T., Daachi, M.E.H. et al. A novel trigonometric 3D chaotic map and its application in a double permutation-diffusion image encryption. Multimed Tools Appl 83, 7895–7918 (2024). https://doi.org/10.1007/s11042-023-15858-0

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