Comparative Analysis of the Effects of Chaotic Systems on the Robustness of Image Encryption

In this study, we carried out a comparative analysis to examine the effects of various chaotic systems on the robustness of image encryption. To dothat, a chaotic-system-based encryption scheme was used. Different kinds of chaotic systems such as sine map, logistic map, and tent map have beenused to understand the effects of chaotic systems on encryption. In the encryption scheme, confusion and diffusion processes have been performed.Row- and column-based scrambling algorithms have been used for confusion, whereas simplified modulo-operation-based algorithm has been usedfor diffusion. In the analysis part, the correlation of two neighboring pixels and entropy are calculated to understand the effects of three different chaoticmaps. Furthermore, numerous tests such as parameter value sensitivity, initial condition sensitivity, robustness against noise, robustness against dataloss, and chi-squared test have been done to evaluate the performances of chaotic systems. All analyses in this study have been carried out in MATLABenvironment.

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1. X. Wang, L. Feng, H. Zhao, “Fast image encryption algorithm based on parallel computing system”, Information Sciences, vol. 486 pp. 340-358, 2019 [Crossref]

2. C. Zhu, K. Sun, “Cryptanalyzing and Improving a Novel Color Image Encryption Algorithm Using RT-Enhanced Chaotic Tent Maps”, IEEE Access vol. 6, pp. 18759-18770, 2018. [Crossref]

3. Y. Li, C. Wang, H. Chen, “A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation”, Optics and Lasers in Engineering, vol. 90, pp. 238-246, 2017. [Crossref]

4. Ü. Çavuşoğlu, S. Kaçar, I. Pehlivan, A. Zengin, “Secure image encryption algorithm design using a novel chaos based S-Box”, Chaos, Solitons and Fractals, vol. 95, pp. 92-101, 2017. [Crossref]

5. Y. Xian, X. Wang, X. Yan, Q. Li, X. Wang, “Image Encryption Based on Chaotic Sub-Block Scrambling and Chaotic Digit Selection Diffusion”, Optics and Lasers in Engineering, vol. 134, 2020. [Crossref]

6. M. Alawida, A. Samsudin, J. Sen Teh, R.S. Alkhawaldeh, “A new hybrid digital chaotic system with applications in image encryption”, Signal Processing, vol. 160, pp. 45-58, 2019. [Crossref]

7. Z. J. Huang, S. Cheng, L. H. Gong, N. R. Zhou, “Nonlinear optical multi-image encryption scheme with two-dimensional linear canonical transform”, Optics and Lasers in Engineering, vol. 124, pp. 105821, 2020. [Crossref]

8. Y. Zhou, L. Bao, C.L.P. Chen, “A new 1D chaotic system for image encryption”, Signal Processing, vol. 97, pp. 172-182, 2014. [Crossref]

9. Z. H. Guan, F. Huang, W. Guan, “Chaos-based image encryption algorithm”, Physics Letters A, vol. 346, pp. 153-157, 2005. [Crossref]

10. Q. Xu, K. Sun, C. Cao, C. Zhu, “A fast image encryption algorithm based on compressive sensing and hyperchaotic map”, Optics and Lasers in Engineering, vol. 121, pp. 203-214, 2019. [Crossref]

11. H. Liu, B. Zhao, L. Huang, “Quantum image encryption scheme using Arnold transform and S-box scrambling”, Entropy, vol. 21, pp. 1-14, 2019. [Crossref]

12. M. Yildirim, “DNA Encoding for RGB Image Encryption with Memristor Based Neuron Model and Chaos Phenomenon”, Microelectronics Journal, vol. 104, pp. 104878, Oct 2020. [Crossref]

13. L.G. Nardo, E.G. Nepomuceno, J. Arias-Garcia, D.N. Butusov, “Image encryption using finite-precision error”, Chaos, Solitons & Fractals, vol. 123, pp. 69-78, 2019. [Crossref]

14. T. Abdeljawad, S. Banerjee, G. Wu, “Discrete tempered fractional calculus for new chaotic systems with short memory and image encryption”, Optik, vol. 218, pp. 163698, 2020. [Crossref]

15. M. Yildirim, F. Kacar, “Chaotic Circuit with OTA based Memristor on Image Cryptology”, AEÜ - International Journal of Electronics and Communications, 153490, 2020. [Crossref]

16. Z. Hua, S. Yi, Y. Zhou, “Medical image encryption using high-speed scrambling and pixel adaptive diffusion”, Signal Processing, vol. 144, pp. 134-144, 2018. [Crossref]

17. T. Chuman, W. Sirichotedumrong, H. Kiya, “Encryption-then-compression systems using grayscale-based image encryption for JPEG images”, IEEE Transactions on Information Forensics and Security, vol. 14, pp. 1515-1525, 2018. [Crossref]

18. Z. Hua, B. Xu, F. Jin, H. Huang, “Image encryption using josephus problem and filtering diffusion”, IEEE Access, vol. 7, pp. 8660-8674, 2019. [Crossref]

19. H. Karmouni, M. Sayyouri, H. Qjidaa, “A novel image encryption method based on fractional discrete Meixner moments”, Optics and Lasers in Engineering, vol. 137, pp. 106346, 2021. [Crossref]

20. M. Yildirim, “A color image encryption scheme reducing the correlations between R, G, B components”, Optik, pp. 166728, 2021. [Crossref]

21. X. Wang, L. Teng, X. Qin, “A novel colour image encryption algorithm based on chaos”, Signal Processing vol. 92, pp. 1101-1108, 2012. [Crossref]

22. C.K. Volos, I.M. Kyprianidis, I.N. Stouboulos, “Image encryption process based on chaotic synchronization phenomena”, Signal Processing, vol. 93, pp. 1328-1340, 2013. [Crossref]

23. S. Kandar, D. Chaudhuri, A. Bhattacharjee, B.C. Dhara, “Image encryption using sequence generated by cyclic group”, Journal of Information Security and Applications, vol. 44, pp. 117-129, 2019. [Crossref]

24. W. Liu, K. Sun, C. Zhu, “A fast image encryption algorithm based on chaotic map”, Optics and Lasers in Engineering, vol. 84, pp. 26-36, 2016. [Crossref]

25. M. Yildirim, “Analog circuit implementation based on median filter for salt and pepper noise reduction in image”, Analog Integrated Circuits and Signal Processing, pp. 1-8, 2021. [Crossref]

26. M. Yildirim, F. Kacar, “Adapting Laplacian based filtering in digital image processing to a retina-inspired analog image processing circuit”, Analog Integrated Circuits and Signal Processing, vol. 100, pp. 537-545, 2019. [Crossref]

27. S. Karakus, E. Avci, “A new image steganography method with optimum pixel similarity for data hiding in medical images”, Medical Hypotheses, vol. 139, pp. 109691, 2020. [Crossref]