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A novel and secure image encryption scheme based on two-dimensional logistic and Arnold Cat map

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Abstract

Digital images are information carriers in the latest era of technology. Therefore, securing digital images or keeping data, videos, or confidential documents during communication through the internet is challenging because an adversary always endeavors to acquire any related information about digital images or reserved data. Chaotic systems are immaculate for developing new cryptosystems due to their exceptional characteristics. In this paper, our primary focus is to introduce a procedure to generate unique secret key streams using a two-dimensional logistic map and create a sequence of positive integers with the Arnold Cat map. Confusion and diffusion are the two fundamental principles of any image encryption scheme. In our proposed image encryption scheme, confusion is done using a series of positive integers to devastate the correlation among the adjacent pixels of plain images in all directions, and diffusion is done with secret key streams. The consequences of the security and statistical analysis depict that the proposed image encryption scheme is safe against numerous attacks.

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Acknowledgements

The authors are grateful to the reviewers for their comments and suggestions to improve the manuscript.

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Author notes

  1. Muhammad Akraam, Tabasam Rashid, and Sohail Zafar have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan

    Muhammad Akraam, Tabasam Rashid & Sohail Zafar

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  1. Muhammad Akraam
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  2. Tabasam Rashid
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  3. Sohail Zafar
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Correspondence to Tabasam Rashid.

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Akraam, M., Rashid, T. & Zafar, S. A novel and secure image encryption scheme based on two-dimensional logistic and Arnold Cat map. Cluster Comput 27, 2029–2048 (2024). https://doi.org/10.1007/s10586-023-04084-w

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  • DOI: https://doi.org/10.1007/s10586-023-04084-w

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