ANALYSIS OF NEW CHAOTIC MAP AND PERFORMANCE EVALUATION IN ITS APPLICATION TO DIGITAL COLOR IMAGE ENCRYPTION

  • Ita Mar'atu Solihat Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Indonesia
  • Suryadi MT Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Indonesia
  • Yudi Satria Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss3pp1553-1564
Keywords: New Chaotic map, bifurcation diagram, Lyapunov exponent, encryption, decryption

Abstract

In this research a new chaotic map which is a modification from composition of MS map and Improved logistics map is proposed. New map’s chaotic behavior is proven by the bifurcation diagram and Lyapunov exponent. This map will be used in chaos-based cryptography as a keystream generator and then it will be processed in the encryption and decryption algorithms through XOR operations. The results of the encryption and decryption processes were evaluated by several tests such as key sensitivity analysis, histogram analysis, correlation analysis, and image quality analysis. All the tests are doing to evaluate the performance new chaotic map in encryption of digital color image. Based on the results of several tests, a conclusion can be drawn that the encryption and decryption process is successful and difficult to attack with various kinds of attacks. The key that built from new chaotic map has a good sensitivity.

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Published
2023-09-30
How to Cite
[1]
I. Solihat, S. MT, and Y. Satria, “ANALYSIS OF NEW CHAOTIC MAP AND PERFORMANCE EVALUATION IN ITS APPLICATION TO DIGITAL COLOR IMAGE ENCRYPTION”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1553-1564, Sep. 2023.
Issue
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Ita Mar'atu Solihat, Suryadi MT, Yudi Satria

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