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Efficient image encryption using the Tinkerbell map in conjunction with linear feedback shift registers

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Abstract

Images are considered crucial for conveying information due to their visualisation properties and capacity to hold a large amount of data. To safeguard image data from potential risks of information leakage, numerous image encryption algorithms have been developed. These algorithms often make use of chaotic maps, known for their high unpredictability, ergodicity, and sensitivity to parameters and initial values. This paper introduces a new chaos-based digital image encryption algorithm to protect digital images from unauthorised access or attacks. The algorithm heavily relies on permutation and diffusion processes. Specifically, it employs two rounds of pixel permutation using a Tinkerbell chaotic map sequence on the source image and two rounds of pixel diffusion using the Linear Feedback Shift Register and Logistic Map sequences on the permuted image. The encryption algorithm’s effectiveness is thoroughly examined through various cryptanalysis techniques, including key space analysis, information entropy, correlation coefficient, differential attack, key sensitivity, histogram analysis, occlusion attack, noise attack, and encryption execution time. The experimental results are then compared with the most recent literature to demonstrate the algorithm’s reliability and its ability to withstand diverse attacks. Notably, the proposed algorithm stands out as a secure and viable encryption solution, requiring less computational time than previous studies, thus making it a more practical option for real-world applications.

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Data availability statements

Image data utilised for analysis of the proposed approach, along with related methods, is publicly available.

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Funding

The first author received financial support from CSIR, India, with sanction order no. (08/0133(13253)/2022-EMR-I) for conducting this research work.

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  1. Department of Applied Mathematics, Delhi Technological University, Delhi, India

    Puneet Kumar Pal, Dhirendra Kumar & Varun Agarwal

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  1. Puneet Kumar Pal
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Correspondence to Dhirendra Kumar.

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Pal, P.K., Kumar, D. & Agarwal, V. Efficient image encryption using the Tinkerbell map in conjunction with linear feedback shift registers. Multimed Tools Appl 83, 44903–44932 (2024). https://doi.org/10.1007/s11042-023-17236-2

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