An asymmetric cryptosystem using deterministic phase masks, double random phase encoding, orthogonal encoding and decoding, and fractional Fourier transform

R Girija¹, H Singh², and Kehar Singh^3
1Department of Computer Science & Engineering,
Manav Rachna International Institute of Research and Studies, Faridabad-121 004, India.
²Department of Applied Sciences, The NorthCap University, Gurugram-122 017, India
³Optics and Photonics Center, Indian Institute of Technology Delhi, New Delhi-110 016, India
Dedicated in memory of Prof John Sheridan

A Double Random Phase Encoding (DRPE) scheme has been proposed based on the use of deterministic phase masks, the fractional Fourier transform, and orthogonal encoding and decoding. In the proposed scheme, grey images are encrypted using an asymmetric cryptosystem. In order to convert the encrypted information to encoded information, Hadamard matrix with orthogonal property is used. In place of traditional masks, deterministic phase masks have been employed. Together with the use of orthogonal encoding, security of the proposed system is enhanced albeit at the cost of slight complication. The orthogonal encoding comprises only modest linear actions and is easy to implement. Numerous simulation results are provided in order to validate the proposed cryptosystem. Results have been provided for the mean-squared-error, peak signal-to-noise ratio, correlation-coefficient, histogram analysis, entropy, and sensitivity. © Anita Publications. All rights reserved.
Keywords: Deterministic phase masks, Orthogonal encoding and decoding, Hadamard Matrix, Fractional Fourier transform.

Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
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