Chaos-based Image Encryption in Embedded Systems using Lorenz-Rossler System

Abstract

Digital data is increasing rapidly in the world day by day. Information security is important during data exchange over the Internet. The way to securely transmit images over the network is through the image encryption technique. In the proposed cryptography system, the hybridization of Lorenz-Rossler chaotic systems is used, and a random number sequence is generated. The security analyses such as histogram, correlation, differential attack, information entropy, and duration analysis of the study are performed. It is seen that the proposed system performs well, especially in terms of correlation. Additionally, the performance of the developed embedded system platforms is compared after testing on Nvidia Jetson Nano and Xilinx PYNQ Z1 boards. The Nvidia Jetson Nano board is more performant than the Xilinx PYNQ Z1 board. The safety and feasibility of the proposed system have been demonstrated.

Keywords

• Chaotic Systems
• Image Encryption
• Security analysis
• Embedded Systems

References

1. Ahmed, H. E. D. H., H. M. Kalash, and O. S. Farag Allah, 2007 An Efficient Chaos-Based Feedback Stream Cipher (ECBFSC) for image encryption and decryption. Informatica (Ljubljana).
2. Akgul, A., B. Gurevin, I. Pehlivan, M. Yildiz, M. C. Kutlu, et al., 2021 Development of micro computer based mobile random number generator with an encryption application. Integration 81: 1–16.
3. Al-Khasawneh, M. A., I. Uddin, S. A. A. Shah, A. M. Khasawneh, L. M. Abualigah, et al., 2021 An improved chaotic image encryption algorithm using Hadoop-based MapReduce framework for massive remote sensed images in parallel IoT applications. Cluster Computing 25: 999–1013.
4. Ali, T. S. and R. Ali, 2020 A new chaos based color image encryption algorithm using permutation substitution and Boolean operation. Multimedia Tools and Applications 79: 19853–19873.
5. Alsafasfeh, Q. H. and M. S. Al-Arni, 2011 A New Chaotic Behavior from Lorenz and Rossler Systems and Its Electronic Circuit Implementation. Circuits and Systems 02: 101–105.
6. Biham, E. and A. Shamir, 1990 Differential cryptanalysis of DES-like cryptosystems. Journal of Cryptology 4: 3–72.
7. Cohen, J., 1988 Statistical Power Analysis for the Behavioral Sciences. Daemen, J. and V. Rijmen, 2020 The Design of Rijndael: The Advanced Encryption Standard (AES). The Design of Rijndael.
8. Demirta¸s, M., 2022 A new RGB color image encryption scheme based on cross-channel pixel and bit scrambling using chaos. Optik 265: 0–2.

9. Girdhar, A. and V. Kumar, 2018 A RGB image encryption technique using Lorenz and Rossler chaotic system on DNA sequences. Multimedia Tools and Applications.
10. Praveenkumar, P., R. Amirtharajan, K. Thenmozhi, and J. B. B. Rayappan, 2015 Pixel scattering matrix formalism for image encryption-A key scheduled substitution and diffusion approach. AEU - International Journal of Electronics and Communications.
11. Sheela, S. J., K. V. Suresh, and D. Tandur, 2018 Image encryption based on modified Henon map using hybrid chaotic shift transform. Multimedia Tools and Applications 77: 25223–25251.
12. Sinha, A. and K. Singh, 2003 A technique for image encryption using digital signature. Optics Communications .
13. Wang, X., Y. Su, C. Luo, and C. Wang, 2020 A novel image encryption algorithm based on fractional order 5D cellular neural network and Fisher-Yates scrambling. PLoS ONE .
14. Wang, Y., K.-W. Wong, X. Liao, T. Xiang, and G. Chen, 2009 A chaosbased image encryption algorithm with variable control parameters. Chaos, Solitons and Fractals 41: 1773–1783.
15. Xin, J., H. Hu, and J. Zheng, 2023 3D variable-structure chaotic system and its application in color image encryption with new Rubik’s Cubelike permutation. Nonlinear Dynamics.
16. Yan, S., L. Li, and B. Gu, 2023 Design of a new four-dimensional chaotic system and its application to color image encryption.
17. Yu, J., W. Xie, Z. Zhong, and H. Wang, 2022 Image encryption algorithm based on hyperchaotic system and a new DNA sequence operation. Chaos, Solitons and Fractals 162: 112456.
18. Zhang, S. and M. A. Karim, 1999 Color image encryption using double random phase encoding. Microwave and Optical Technology Letters .
19. Zhang, Y. Q., X. Y.Wang, J. Liu, and Z. L. Chi, 2016 An image encryption scheme based on the MLNCML system using DNA sequences. Optics and Lasers in Engineering 82: 95–103.