URUK 4D DISCRETE CHAOTIC MAP FOR SECURE COMMUNICATION APPLICATIONS
DOI:
https://doi.org/10.36371/port.2022.3.2%20Authors
In this paper, URUK, a discrete four-dimensional chaotic map, is proposed for secure communication. The 0-1 tests, the Lyapunov Exponent (LE) tests, and the National Institute of Standard and Technology (NIST) tests, which are typically used to verify the randomness of bits, are employed to evaluate the dynamic behavior of the system based on a variety of criteria. Based on the results of tests demonstrating the system's characteristic chaotic and random behavior, it is reliable for use in covert communications and image encryption.
Keywords:
Chaos, Chaotic system, , Discrete Chaotic Map, URUK, Image Encryption, Secure Communication[1] Wang, X., Feng, Y., & Chen, Y. (2022). A New Four-Dimensional Chaotic System and its Circuit Implementation. Frontiers in Physics, 376. https://doi.org/10.3389/fphy.2022.906138
[2] Abdullah, Hamsa A.; Abdullah, Hikmat N.; Mahmoud Al-Jawher, Waleed A. (2019). A hybrid chaotic map for communication security applications. International Journal of Communication Systems, (), e4236–. https://doi:10.1002/dac.4236
[3] J. Wen, Y. Feng, X. Tao and Y. Cao, "Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization," in IEEE Access, vol. 9, pp. 167920-167927. https://doi:10.1109/ACCESS.2021.3136249
[4] Ali Akram Abdul-Kareem, Prof. Waleed Ameen Mahmoud Al-Jawher(2022) “WAM 3D Discrete Chaotic Map for Secure Communication Applications” Proceeding of 3rd International Conference on Optics, Photonics and Lasers, 20-21 September, 2022.
[5] J. Wen, Y. Feng, X. Tao and Y. Cao, (2021). Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization, in IEEE Access, vol. 9, pp. 167920-167927, https://doi:10.1109/ACCESS.2021.3136249
[6] Dong, C. (2022). Dynamics, periodic orbit analysis, and circuit implementation of a new chaotic system with hidden attractor. Fractal and Fractional, 6(4), 190. https://doi.org/10.3390/fractalfract6040190
[7] Rahman, Z. A. S., Jasim, B. H., Al-Yasir, Y. I., Abd-Alhameed, R. A., & Alhasnawi, B. N. (2021). A new no equilibrium fractional order chaotic system, dynamical investigation, synchronization, and its digital implementation. Inventions, 6(3), 49. https://doi.org/10.3390/inventions6030049
[8] Chenguang Ma; Jun Mou; Li Xiong; Santo Banerjee; Tianming Liu; Xintong Han; (2021). Dynamical analysis of a new chaotic system: asymmetric multi-stability, offset boosting control and circuit realization. Nonlinear Dynamics. https://doi:10.1007/s11071-021-06276-8
[9] Chuanfu Wang;Yi Di;Jianyu Tang;Jing Shuai;Yuchen Zhang;Qi Lu; (2021). The Dynamic Analysis of a Novel Reconfigurable Cubic Chaotic Map and Its Application in Finite Field. Symmetry, (), –. https://doi:10.3390/sym13081420
[10] Skokos, C., Gottwald, G. A., & Laskar, J. (Eds.). (2016). Chaos Detection and Predictability. Lecture Notes in Physics. https://doi:10.1007/978-3-662-48410-4
[11] Gottwald, G. A., & Melbourne, I. (2004). A new test for chaos in deterministic systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460(2042), 603–611. https://doi:10.1098/rspa.2003.1183
[12] Gottwald, Georg A.; Melbourne, Ian (2009). On the Implementation of the 0–1 Test for Chaos. SIAM Journal on Applied Dynamical Systems, 8(1), 129–145. https://doi:10.1137/080718851
[13] Sahari, M.L., Boukemara, I (2018). A pseudo-random numbers generator based on a novel 3D chaotic map with an application to color image encryption. Nonlinear Dyn 94, 723–744. https://doi.org/10.1007/s11071-018-4390-z
[14] Bassham, L., Rukhin, A., Soto, J., Nechvatal, J., Smid, M., Leigh, S., Levenson, M., Vangel, M., Heckert, N. and Banks, D. (2010), A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications, Special Publication (NIST SP), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=906762
[15] Lin Teng; Xingyuan Wang; Feifei Yang; Yongjin Xian; (2021). Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion. Nonlinear Dynamics, (), –. https://doi:10.1007/s11071-021-06663-1
[16] Duzhong Zhang; Lexing Chen; Taiyong Li; (2021). Hyper-Chaotic Color Image Encryption Based on Transformed Zigzag Diffusion and RNA Operation. Entropy, (), –. https://doi:10.3390/e23030361
[17] Pourjabbar Kari, Ahmad; Habibizad Navin, Ahmad; Bidgoli, Amir Massoud; Mirnia, Mirkamal (2020). A new image encryption scheme based on hybrid chaotic maps. Multimedia Tools and Applications, (), –. https://doi:10.1007/s11042-020-09648-1
[18] Belqassim Bouteghrine;Camel Tanougast;Said Sadoudi; (2021). Novel image encryption algorithm based on new 3-d chaos map. Multimedia Tools and Applications, (), –. https://doi:10.1007/s11042-021-10773-8
[19] Hanif, Muhammad; Naqvi, Rizwan Ali; Abbas, Sagheer; Khan, Muhammad Adnan; Iqbal, Nadeem (2020). A Novel and Efficient 3D Multiple Images Encryption Scheme Based on Chaotic Systems and Swapping Operations. IEEE Access, (), 1–1. https://doi:10.1109/access.2020.3004536
[20] Ali Momeni Asl;Ali Broumandnia;Seyed Javad Mirabedini; (2021). Scale Invariant Digital Color Image Encryption Using a 3D Modular Chaotic Map. IEEE Access, () –. https://doi:10.1109/access.2021.3096224
[21] Bashir, Zia; Iqbal, Nadeem; Hanif, Muhammad (2020). A novel gray scale image encryption scheme based on pixels’ swapping operations. Multimedia Tools and Applications, (), –. https://doi:10.1007/s11042-020-09695-8
[22] Xiaoliang Qian;Qi Yang;Qingbo Li;Qian Liu;Yuanyuan Wu;Wei Wang; (2021). A Novel Color Image Encryption Algorithm Based on Three-Dimensional Chaotic Maps and Reconstruction Techniques. IEEE Access, (), –. https://doi:10.1109/access.2021.3073514
[23] Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3), 379–423. https://doi:10.1002/j.1538-7305.1948.tb01338.x
[24] Khan, L. S., Hazzazi, M. M., Khan, M., & Jamal, S. S. (2021). A novel image encryption based on rossler map diffusion and particle swarm optimization generated highly non-linear substitution boxes. Chinese Journal of Physics, vol. 72, pp. 558–574. https://doi:10.1016/j.cjph.2021.03.02910.1016/j.cjph.2021.03.029
[25] Al-Maadeed, T. A., Hussain, I., Anees, A., & Mustafa, M. T. (2021) A image encryption algorithm based on chaotic Lorenz system and novel primitive polynomial S-boxes. Multimedia Tools and Applications. Vol. 80, pp. 24801–24822. https://doi:10.1007/s11042-021-10695-5
[26] Teng, L., Wang, X., Yang, F., & Xian, Y. (2021). Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion. Nonlinear Dynamics, vol. 105 (2), pp. 1859–1876. https://doi:10.1007/s11071-021-06663-1
[27] Qian, X., Yang, Q., Li, Q., Liu, Q., Wu, Y., & Wang, W. (2021). A Novel Color Image Encryption Algorithm Based on Three-Dimensional Chaotic Maps and Reconstruction Techniques. IEEE Access, vol. 9, pp. 61334–61345. https://doi:10.1109/access.2021.3073514
[28] Khalil, N., Sarhan, A., & Alshewimy, M. A. M. (2021). An efficient color/grayscale image encryption scheme based on hybrid chaotic maps. Optics & Laser Technology, 143, 107326. https://doi:10.1016/j.optlastec.2021.1073
[29] Yaghouti Niyat, Abolfazl; Moattar, Mohammad Hossein (2019). Color image encryption based on hybrid chaotic system and DNA sequences. Multimedia Tools and Applications, (), –. https://doi:10.1007/s11042-019-08247-z
[30] Fawad Masood; Maha Driss; Wadii Boulila; Jawad Ahmad; Sadaqat Ur Rehman; Sana Ullah Jan; Abdullah Qayyum; William J. Buchanan; (2021). A Lightweight Chaos-Based Medical Image Encryption Scheme Using Random Shuffling and XOR Operations. Wireless Personal Communications, (), –. https://doi:10.1007/s11277-021-08584-z
[31] Joshi, Anand B.; Kumar, Dhanesh; Mishra, D.C.; Guleria, Vandana (2020). Colour-image encryption based on 2D discrete wavelet transform and 3D logistic chaotic map. Journal of Modern Optics, (), 1–17. https://doi:10.1080/09500340.2020.1789233
[32] Liu, Hui; Zhao, Bo; Huang, Linquan (2019). A novel quantum image encryption algorithm based on crossover operation and mutation operation. Multimedia Tools and Applications, (), –. https://doi:10.1007/s11042-019-7186-3
[33] Luo, Y., Liang, Y., Zhang, S., Liu, J., & Wang, F. (2022). An image encryption scheme based on block compressed sensing and Chen system. https://doi.org/10.21203/rs.3.rs-1604114/v1
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- Published: 2022-10-23
- Issue: Vol. 5 No. 3 (2022): TRANSACTION ON ENGINEERING TECHNOLOGY AND THEIR APPLICATIONS
- Section: Articles