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An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values

Department of Electronics and Multimedia Communications, Technical University of Kosice, Nemcovej 32, 040 01 Kosice, Slovakia
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Author to whom correspondence should be addressed.
Academic Editors: Salim Lahmiri and Jose Santamaria
Entropy 2021, 23(11), 1373; https://doi.org/10.3390/e23111373
Received: 17 September 2021 / Revised: 4 October 2021 / Accepted: 18 October 2021 / Published: 20 October 2021
This paper deals with a plaintext-related image encryption algorithm that modifies the parameter values used by the logistic map according to plain image pixel intensities. The parameter values are altered in a row-wise manner, which enables the usage of the same procedure also during the decryption. Furthermore, the parameter modification technique takes into account knowledge about the logistic map, its fixed points and possible periodic cycles. Since the resulting interval of parameter values achieves high positive values of Lyapunov exponents, the chaotic behavior of the logistic map should be most pronounced. These assumptions are verified by a set of experiments and the obtained numerical values are compared with those reported in relevant papers. It is found that the proposed design that uses a simpler, but well-studied, chaotic map with mitigated issues obtains results comparable with algorithms that use more complex chaotic systems. Moreover, the proposed solution is much faster than other approaches with a similar purpose. View Full-Text
Keywords: chaotic map; image encryption; logistic map; Lyapunov exponent; plaintext-related chaotic map; image encryption; logistic map; Lyapunov exponent; plaintext-related
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MDPI and ACS Style

Oravec, J.; Ovsenik, L.; Papaj, J. An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values. Entropy 2021, 23, 1373. https://doi.org/10.3390/e23111373

AMA Style

Oravec J, Ovsenik L, Papaj J. An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values. Entropy. 2021; 23(11):1373. https://doi.org/10.3390/e23111373

Chicago/Turabian Style

Oravec, Jakub, Lubos Ovsenik, and Jan Papaj. 2021. "An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values" Entropy 23, no. 11: 1373. https://doi.org/10.3390/e23111373

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