Title: Asymmetric enciphering of images using affine transform and fractional Fourier transform

Authors: Savita Anjana; Indu Saini; Phool Singh; Anil Kumar Yadav

Addresses: Department of Applied Sciences, The NorthCap University, Gurugram, 122017, India ' Department of Applied Mathematics, Amity School of Applied Sciences, Amity University Haryana, Gurgaon, 122413, India ' Department of Mathematics, SoET, Central University of Haryana, Mahendergarh 123031, India ' Department of Applied Mathematics, Amity School of Applied Sciences, Amity University Haryana, Gurgaon, 122413, India

Abstract: This paper presents an asymmetric enciphering technique for binary and greyscale images that uses amplitude and phase truncation operation in fractional Fourier domain. Affine transform is used to introduce randomness for additional security, and to resist specific attack recently mounted on asymmetric schemes. The scheme is validated for binary and greyscale images in MATLAB. The affine transform parameter and the orders of fractional Fourier transform serve as encryption keys in addition to two private keys of asymmetric cryptosystem. To check the efficacy of the scheme, keys sensitivity has been analysed. The scheme is also analysed against occlusion and noise attacks. Other usual attacks and the specific attack on the scheme are also discussed.

Keywords: asymmetric cryptosystem; affine transform; fractional Fourier transform; binary and greyscale images.

DOI: 10.1504/IJAIP.2024.141523

International Journal of Advanced Intelligence Paradigms, 2024 Vol.29 No.1, pp.28 - 45

Received: 28 Dec 2017
Accepted: 29 Oct 2018
Published online: 23 Sep 2024 *

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