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Journal of Vibration Testing and System Dynamics 8(4) (2024) 391--403 | DOI:10.5890/JVTSD.2024.12.002

Nikolaos Charalampidis$^{1}$, Christos Volos$^{1}$, Lazaros Moysis$^{1,2}$, Ioannis Antoniades$^{1}$,\\ Ioannis Stouboulos$^{1}$

$^{1}$ Laboratory of Nonlinear Systems - Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece

$^{2}$ Department of Mechanical Engineering, University of Western Macedonia, Kozani, Greece

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Abstract

This paper investigates the issue of chaos-based image encryption. Based on the $z$-shaped fuzzy number, the exponential function, and the modulo operator, a 1-D chaotic map is constructed and studied. This map contains areas with constant chaotic behavior and high Lyapunov exponent values. A statistically secure pseudorandom bit generator is designed based on the new map, and it is used in the encryption process. A three level color image encryption technique is introduced that is based on a shuffling process to the rows and columns of an image, followed by a modulation process in each pixel, and finally by an XOR operation. The resulting ciphertext image is then shown to be resistant to a variety of attacks, including histogram, correlation, and entropy analysis, NPCR and UACI measures, cropping and tampering attacks, and transmission noise. This is demonstrated by applying the encryption to a set of images.

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