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Cryptosystem techniques based on the improved Chebyshev map: an application in image encryption

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Abstract

The use of nonlinear (chaotic) transformations in cryptography to create confusion during encryption process has become a common practice. In this paper, a pair of proficient cryptosystem techniques are proposed in the form of substitution and permutation constructed on the one-dimensional chaotic map (Improved Chebyshev map). Initially, an efficient and simple method for the construction of S-box using one-dimensional chaotic system is presented. The main advantage of the suggested scheme is to generate strong S-boxes depending upon keys used by chaotic map. Then, an efficient encryption scheme based on substitution box and the chaotic map (substitution and permutation system) is presented. Experimental consequences validate the efficiency of anticipated algorithms. A great potential and higher performance for noticeable dominance regarding cryptographic applications can be seen for the presented cryptosystems in comparison with the algorithms already developed in literature.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Attaullah, Adnan Javeed & Tariq Shah

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  1. Attaullah
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  2. Adnan Javeed
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  3. Tariq Shah
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Correspondence to Adnan Javeed.

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Attaullah, Javeed, A. & Shah, T. Cryptosystem techniques based on the improved Chebyshev map: an application in image encryption. Multimed Tools Appl 78, 31467–31484 (2019). https://doi.org/10.1007/s11042-019-07981-8

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  • DOI: https://doi.org/10.1007/s11042-019-07981-8

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