An image encryption tool based on the chaotic automorphism and Chirikov transformation

Volume 32, Issue 3, pp 275--282 http://dx.doi.org/10.22436/jmcs.032.03.08
Publication Date: October 26, 2023 Submission Date: September 01, 2023 Revision Date: September 27, 2023 Accteptance Date: October 09, 2023

Authors

M. Catak - College of Engineering and Technology, American University of the Middle East, Kuwait. T. Allahviranloo - Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey.


Abstract

For some operations that use either color or gray-scale images the algorithms involving image encryption provide significant security. In this paper, a novel image encryption tool based on chaotic automorphism and the Chirikov transform is proposed. The lack of efficiency of the chaotic automorphism, such as ghost and miniature effects, is overcome with the help of the Chirikov transformation. Normalized pixel change rate, correlation coefficient, and histogram analysis are employed in order to validate the efficiency of the proposed method. According to the results, the proposed algorithm demonstrates its robustness against attacks based on statistical analysis.


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ISRP Style

M. Catak, T. Allahviranloo, An image encryption tool based on the chaotic automorphism and Chirikov transformation, Journal of Mathematics and Computer Science, 32 (2024), no. 3, 275--282

AMA Style

Catak M., Allahviranloo T., An image encryption tool based on the chaotic automorphism and Chirikov transformation. J Math Comput SCI-JM. (2024); 32(3):275--282

Chicago/Turabian Style

Catak, M., Allahviranloo, T.. "An image encryption tool based on the chaotic automorphism and Chirikov transformation." Journal of Mathematics and Computer Science, 32, no. 3 (2024): 275--282


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