Preserving Information Security Using Fractal-Based Cryptosystem

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Author(s): Shafali Agarwal (Independent Researcher, Plano, USA)
Copyright: 2021
Pages: 28
Source title: Handbook of Research on Cyber Crime and Information Privacy
Source Author(s)/Editor(s): Maria Manuela Cruz-Cunha (Polytechnic Institute of Cávado and Ave, Portugal)and Nuno Mateus-Coelho (Lusófona University, Portugal)
DOI: 10.4018/978-1-7998-5728-0.ch026

Keywords: Cyber and Network Security / Information Science Reference / Information Security & Privacy / Security & Forensics

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Abstract

The chapter intends to propose a hybrid cryptosystem based on a chaotic map and a fractal function. The sequential order of process execution provides a computationally less expensive and simple approach that still designed a secure cryptosystem. A one-dimensional Ricker map and its modified form are employed to initially shuffle the image pixels twice, and also a pseudo-random sequence is generated using both maps. The algorithm implemented a sequence of pixel confusion-diffusion steps using the image rotation and a transcendental anti-Mandelbrot fractal function (TAMFF) and its Mann-iterated fractal function (Sup-TAMFF). Finally, the pixel value of an image obtained in the last step and the recent two pixels of the encrypted image is XORed with the corresponding pseudo-random matrix value to get the cipher image. Subsequently, various performance tests are conducted to verify the suitability of the given method to be used in real-world information transmission.

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Preserving Information Security Using Fractal-Based Cryptosystem

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