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An efficient image encryption scheme using Fresnelet transform and elliptic curve based scrambling

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Abstract

This work introduces a novel and more efficient image encryption scheme, that deploys Fresnelet diffraction in the wave-propagation domain in conjunction with image scrambling effect, based on a specific elliptic curve group, that substantially reduces the computational cost for the desired outcome. Significantly elevated security of the encrypted image is guaranteed by highly complex algebraic structure of the elliptic curve over the Galois field \(\mathbb {F}_{2}^{4}\), in association with Fresnelet transform-based data-decomposition. At first stage, the proposed scheme, propagates confidential information, with selected wavelength at ceratin specific distance, using the Fresnelet transform. During this process confidential data decomposes into four complex sub-bands. We further separate these sub-bands into real and imaginary sub-band data. Then, at the second stage, elliptic curve group law is deployed to add confusion by scrambling the net sub-band data. The security and quality of the presented technique is examined through highly significant tools and we prove that when compared with other prevailing schemes, the proposed scheme offers coherent outcomes.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt, Pakistan

    Shabieh Farwa

  2. Department of Computer Science, Fatima Jinnah Women University, Rawalpindi, Pakistan

    Nargis Bibi

  3. Department of IT & CS, Pak-Austria Fachhochschule Institute of Applied Sciences and Technology, Haripur, Pakistan

    Nazeer Muhammad

Authors
  1. Shabieh Farwa
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  2. Nargis Bibi
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  3. Nazeer Muhammad
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Correspondence to Nazeer Muhammad.

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Farwa, S., Bibi, N. & Muhammad, N. An efficient image encryption scheme using Fresnelet transform and elliptic curve based scrambling. Multimed Tools Appl 79, 28225–28238 (2020). https://doi.org/10.1007/s11042-020-09324-4

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  • DOI: https://doi.org/10.1007/s11042-020-09324-4

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