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Nonlinear image authentication algorithm based on double fractional Mellin domain

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Abstract

In this paper, we propose a novel dual-user image authentication algorithm based on the double fractional Mellin transform. We perform a security analysis of the nonlinear cryptosystem based on the fractional Mellin transform and show its vulnerability. In the proposed algorithm, polar decomposition and sparse multiplexing are additionally applied to generate a ciphertext. During the encryption process, polar decomposition generates two private keys that can be utilized on the dual-user authentication platform. The proposed scheme has a large key space and is robust against several attacks such as contamination attacks (noise and occlusion), brute force attacks, plain-text attacks, and special iterative attacks. In addition, we carry out a comparison with a similar existing scheme for the proposed algorithm. Simulated results indicate that the proposed authentication algorithm is feasible and robust.

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Funding

This work was funded by Award Reference Number 09/1152(0012)/2019-EMR-1 from the Council of Scientific & Industrial Research (CSIR), India, a Premier National R&D Organization. The contents of the publication are solely responsibility of the authors and do not necessarily represent the official views of the Council of Scientific and Industrial Research.

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Authors and Affiliations

  1. Department of Mathematics, Central University of Haryana, Mahendergarh, 123031, India

    Sachin

  2. Department of Mathematics, IIHS, Kurukshetra University, Kurukshetra, 136119, India

    Sachin

  3. Department of Mathematics, SoET, Central University of Haryana, Mahendergarh, 123031, India

    Phool Singh

  4. Optics and Photonics Center, Indian Institute of Technology, Delhi, New Delhi, 110016, India

    Kehar Singh

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Sachin, Singh, P. & Singh, K. Nonlinear image authentication algorithm based on double fractional Mellin domain. Nonlinear Dyn 111, 13579–13600 (2023). https://doi.org/10.1007/s11071-023-08540-5

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