A Probabilistic Chaotic Image Encryption Scheme

Ali Kanso, Mohammad Ghebleh and Mazen Bou Khuzam
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Ali Kanso: Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Mohammad Ghebleh: Department of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Mazen Bou Khuzam: Department of Mathematics and Natural Sciences, American University of Iraq, Sulaimani 46001, Iraq

Mathematics, 2022, vol. 10, issue 11, 1-26

Abstract: This paper proposes a probabilistic image encryption scheme that improves on existing deterministic schemes by using a chaining mode of chaotic maps in a permutation-masking process. Despite its simplicity, the permutation phase destroys any correlation between adjacent pixel values in a meaningful image. The masking phase, however, modifies the pixel values of the image at hand using pseudorandom numbers with some other initiated random numbers so that any slight change in the plain image spreads throughout the corresponding cipher image. These random numbers ensure the generation of distinct cipher images for the same plain image encryption, even if it is encrypted multiple times with the same key, thereby adding some security features. Simulations show that the proposed scheme is robust to common statistical and security threats. Furthermore, the scheme is shown to be competitive with existing image encryption schemes.

Keywords: image encryption; chaotic systems; pseudorandom number generators; permutation; diffusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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