Hybrid Chaotic-Based PRNG for Secure Cryptography Applications
Source abstract
Abstract
This paper suggests a novel one-dimensional (1D) map to address the limitations of traditional chaotic 1D maps. In contrast to traditional 1D maps, the proposed map has three control parameters a, μ, and c, allowing it to exhibit chaotic behavior over a wide range of values. The dynamic behavior of the new 1D map was analyzed using well-known numerical methods, including the bifurcation diagram and Lyapunov exponent. Both tests showed their complex and diverse behavior. In addition, a novel image encryption scheme was devised using the new function as its pseudorandom number generator. Rigorous statistical testing was applied to the proposed encryption algorithm. The mean square error (MSE) and peak signal-to-noise ratio (PSNR) results, in addition to subjecting 28 images to number of pixels change rate (NPCR) and unified average changing intensity (UACI) tests demonstrated the robustness of the system. The results of this study demonstrate the effectiveness of the new 1D map for use in secure image cryptography applications, providing a more robust and secure alternative to traditional chaotic 1D maps.
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Research context
OpenAlex topics: Chaos-based Image/Signal Encryption · Cryptography and Residue Arithmetic · Advanced Steganography and Watermarking Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Information Technology, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia
Department of Computer Science and Information Technology, Jeddah International College, Jeddah 23831, Saudi Arabia
Department of Computer Engineering, The Higher Institute of Engineering and Technology, Alexandria Governorate 5515314, Egypt
Department of Architecture, College of Engineering and IT, Onaizah Colleges, Al-Qassim 56447, Saudi Arabia
Department of Electrical Engineering, College of Engineering and Information Technology, Onaizah Colleges, Onaizah 56447, Saudi Arabia
Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Department of Electronics and Communications Engineering, Alexandria Higher Institute of Engineering and Technology, Alexandria Governorate 21311, Egypt
References (31)
Show source-provided references
1. A privacy preservation method for multiple-source unstructured data in online social networks10.1016/j.cose.2021.102574 ↗
2. Sun, Q., Tewari, A., Xu, W., Fritz, M., Theobalt, C., and Schiele, B. (2018, January 8–14). In Proceedings of the European conference on Computer Vision (ECCV). Munich, Germany.
3. A survey of privacy-preserving mechanisms for heterogeneous data types10.1016/j.cosrev.2021.100403 ↗
4. A survey on differential privacy for unstructured data content
5. An overview of encryption algorithms in color images10.1016/j.sigpro.2019.06.010 ↗
6. A big data platform exploiting auditable tokenization to promote good practices inside local energy communities10.1016/j.future.2022.12.007 ↗
7. A survey of homomorphic encryption for nonspecialists10.1186/1687-417X-2007-013801 ↗
8. Taleby Ahvanooey, M., Li, Q., Hou, J., Rajput, A.R., and Chen, Y. (2019). Modern text hiding, text steganalysis, and applications: A comparative analysis. Entropy, 21.10.3390/e21040355 ↗
9. A Survey for Comparative Analysis of various Cryptographic Algorithms used to Secure Data on Cloud
10. IIBE: An improved identity-based encryption algorithm for WSN security10.1155/2021/8527068 ↗
11. FPGA implementations for data encryption and decryption via concurrent and parallel computation: A review10.48161/qaj.v1n2a38 ↗
12. Towards 6G wireless communication networks: Vision, enabling technologies, and new paradigm shifts10.1007/s11432-020-2955-6 ↗
13. El-Latif, A.A.A., Ramadoss, J., Abd-El-Atty, B., Khalifa, H.S., and Nazarimehr, F. (2022). A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis. Mathematics, 10.10.3390/math10142434 ↗
14. Bahbouh, N., Basahel, A., Sendra, S., Sen, A., and Ahmed, A. (2023). Tokens Shuffling Approach for Privacy, Security, and Reliability in IoHT under a Pandemic. Appl. Sci., 13.10.3390/app13010114 ↗
15. Pourasad, Y., Ranjbarzadeh, R., and Mardani, A. (2021). A new algorithm for digital image encryption based on chaos theory. Entropy, 23.10.3390/e23030341 ↗
16. HSNet: A hybrid semantic network for polyp segmentation10.1016/j.compbiomed.2022.106173 ↗
17. Chaos based image encryption security in cloud computing10.1080/09720529.2022.2075085 ↗
18. A new method in encryption of gray scale images using chaos game representation10.1007/s11042-022-12779-2 ↗
19. Salleh, M., Ibrahim, S., and Isnin, I.F. (2003, January 25–28). In Proceedings of the 2003 International Symposium on Circuits and Systems, ISCAS’03. Bangkok, Thailand.
20. A new fast image encryption scheme based on 2D chaotic maps
21. A novel scheme for image encryption based on 2D piecewise chaotic maps10.1016/j.optcom.2010.04.056 ↗
22. A stable meaningful image encryption scheme using the newly-designed 2D discrete fractional-order chaotic map and Bayesian compressive sensing10.1016/j.sigpro.2022.108489 ↗
23. Random property enhancement of a 1D chaotic PRNG with finite precision implementation10.1016/j.chaos.2018.11.019 ↗
24. A generalized framework for elliptic curves based PRNG and its utilization in image encryption10.1038/s41598-022-17045-x ↗
25. An image encryption scheme using a 1D chaotic double section skew tent map10.1155/2020/7647421 ↗
26. A finite precision implementation of an image encryption scheme based on DNA encoding and binarized chaotic cores10.1109/ACCESS.2021.3118050 ↗
27. Khairullah, M.K., Alkahtani, A.A., Bin Baharuddin, M.Z., and Al-Jubari, A.M. (2021). Designing 1D chaotic maps for fast chaotic image encryption. Electronics, 10.10.3390/electronics10172116 ↗
28. Moysis, L., Tutueva, A., Volos, C., Butusov, D., Munoz-Pacheco, J.M., and Nistazakis, H. (2020). A two-parameter modified logistic map and its application to random bit generation. Symmetry, 12.10.3390/sym12050829 ↗
29. Moysis, L., Volos, C., Jafari, S., Munoz-Pacheco, J.M., Kengne, J., Rajagopal, K., and Stouboulos, I. (2020). Modification of the logistic map using fuzzy numbers with application to pseudorandom number generation and image encryption. Entropy, 22.10.3390/e22040474 ↗
30. Sprott, J.C. (2003). Chaos and Time-Series Analysis, Oxford University Press.10.1093/oso/9780198508397.001.0001 ↗
31. (2023, April 16). The USC-SIPI Image Database, University of Southern California. Available online: https://sipi.usc.edu/database/database.php.