An Encryption Application and FPGA Realization of a Fractional Memristive Chaotic System

Abstract

The work in this paper extends a memristive chaotic system with transcendental nonlinearities to the fractional-order domain. The extended system’s chaotic properties were validated through bifurcation analysis and spectral entropy. The presented system was employed in the substitution stage of an image encryption algorithm, including a generalized Arnold map for the permutation. The encryption scheme demonstrated its efficiency through statistical tests, key sensitivity analysis and resistance to brute force and differential attacks. The fractional-order memristive system includes a reconfigurable coordinate rotation digital computer (CORDIC) and Grünwald–Letnikov (GL) architectures, which are essential for trigonometric and hyperbolic functions and fractional-order operator implementations, respectively. The proposed system was implemented on the Artix-7 FPGA board, achieving a throughput of 0.396 Gbit/s. © 2023 by the authors.

Authors

Mohamed S.M., Sayed W.S., Madian A.H., Radwan A.G., Said L.A.

Keywords

Document Type

Journal

Source

Electronics (Switzerland), Doi:10.3390/electronics12051219

Scopus Link

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