From Event: SPIE Optical Engineering + Applications, 2016
The linear canonical transform (LCT) is essential in modeling a coherent light field propagation through first-order optical systems. Recently, a generic optical system, known as a Quadratic Phase Encoding System (QPES), for encrypting a two-dimensional (2D) image has been reported. It has been reported together with two phase keys the individual LCT parameters serve as keys of the cryptosystem. However, it is important that such the encryption systems also satisfies some dynamic security properties. Therefore, in this work, we examine some cryptographic evaluation methods, such as Avalanche Criterion and Bit Independence, which indicates the degree of security of the cryptographic algorithms on QPES. We compare our simulation results with the conventional Fourier and the Fresnel transform based DRPE systems. The results show that the LCT based DRPE has an excellent avalanche and bit independence characteristics than that of using the conventional Fourier and Fresnel based encryption systems.
Inbarasan Muniraj, Changliang Guo, Ra'ed Malallah, John J. Healy, and John T. Sheridan, "Security analysis of quadratic phase based cryptography," Proc. SPIE 9970, Optics and Photonics for Information Processing X, 99700T (Presented at SPIE Optical Engineering + Applications: August 30, 2016; Published: 12 September 2016); https://doi.org/10.1117/12.2236644.
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