Enhancing the randomness of a symmetric cryptographic technique based on linear 1-D cellular automata
A. Yasminya5805@srmist.edu.inDepartment of MathematicsCollege of Engineering and TechnologySRM Institute of Science and TechnologyKattankulathur, Tamil Nadu, 603203, IndiaView full profile → , *R. VenkatesanCorresponding authorvenkater1@srmist.edu.inDepartment of MathematicsCollege of Engineering and TechnologySRM Institute of Science and TechnologyKattankulathur, Tamil Nadu, 603203, IndiaView full profile → , K. Gaverchandgk1617@srmist.edu.inDepartment of MathematicsCollege of Engineering and TechnologySRM Institute of Science and TechnologyKattankulathur, Tamil Nadu, 603203, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Dec 2023
- Published Online:
- 28 Feb 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2133
- Pages:
- 185–204
Abstract
Keywords
Subject Classifications
References
[1] S. Acharjee, R. Ray, S. Chakraborty, S. Nath, and N. Dey, “Watermarking in motion vector for security enhancement of medical videos,” in Proc. 2014 Int. Conf. Control, Instrumentation, Communication and Computational Technologies (ICCICCT), pp. 532–537 (2014), doi: 10.1109/ICCICCT.2014.6993019.
[2] K. Achkoun, C. Hanin, and F. Omary, “SPF-CA: A new cellular auomata based block cipher using key-dependent S-boxes,” J. Discrete Math. Sci. Cryptogr., vol. 23, no. 8, pp. 1529–1544 (2020), doi: 10.1080/09720529.2019.1649031.
[3] P. Anghelescu, S. Ionita, and E. Sofron, “FPGA implementation of hybrid additive programmable cellular automata encryption algorithm,” in Proc. 2008 Eighth Int. Conf. Hybrid Intelligent Systems, pp. 96–101 (2008), doi: 10.1109/HIS.2008.24.
[4] K. V. Angulo, D. G. Gil, and H. E. Espitia, “Modeling and numerical validation for an algorithm based on cellular automata to reduce noise in digital images,” Computers, vol. 11, no. 3, p. 46 (2022), doi: 10.3390/computers11030046.
[5] A. Boudali, N. H. Said, and A. Ali-Pacha, “A new symmetrical cryptosystem based on cellular automata and chaotic map function,” J. Discrete Math. Sci. Cryptogr., vol. 25, no. 5, pp. 1435–1455 (2022), doi: 10.1080/09720529.2021.2020427.
[6] M. Devipriya, M. Sreenivasan, and M. Brindha, “Reconfigurable architecture for image encryption using a three-layer artificial neural network,” IETE J. Res., pp. 1–14 (2022), doi: 10.1080/03772063.2022.2127940.
[7] N. Dey, B. Nandi, M. Dey, D. Biswas, A. Das, and S. S. Chaudhuri, “BioHash code generation from electrocardiogram features,” in Proc. 2013 3rd IEEE Int. Adv. Computing Conf. (IACC), pp. 732–735 (2013), doi: 10.1109/IAdCC.2013.6514317.
[8] G. Kaverchand and R. Venkatesan, “A novel approach of 1-D cellular automata in cryptosystem,” Math. Model. Eng. Problems, vol. 10, no. 9, pp. 2121–2126 (2023), doi: 10.18280/mmep.100623.
[9] G. Kumaresan and N. P. Gopalan, “An analytical study of cellular automata and its applications in cryptography,” Int. J. Comput. Network Inf. Secur., vol. 10, no. 12, p. 45 (2017), doi: 10.5815/ijcnis.2017.12.06.
[10] R. Kuppan, L. Shobana, and I. N. Cangul, “Encrypting and decrypting algorithms using strong face graph of a tree,” Int. J. Comput. Math.: Comput. Syst. Theory, vol. 5, no. 4, pp. 225–233 (2020), doi: 10.1080/23799927.2020.1807606.
[11] X.-W. Li, S.-T. Kim, and Q.-H. Wang, “Designing three-dimensional cellular automata based video authentication with an optical integral imaging generated memory-distributed watermark,” IEEE J. Sel. Topics Signal Process., vol. 11, no. 7, pp. 1200–1212 (2017), doi: 10.1109/JSTSP.2017.2714838.
[12] S. K. Nanda, S. Mohanty, P. K. Pattnaik, and M. Sain, “Throughput optimized reversible cellular automata based security algorithm,” Electronics, vol. 11, no. 19, p. 3190 (2022), doi: 10.3390/electronics11193190.
[13] J. von Neumann, Theory of Self-Reproducing Automata, A. W. Burks, Ed. (1966).
[14] D. Parashar, S. Roy, N. Dey, V. Jain, and U. S. Rawat, “Symmetric key encryption technique: A cellular automata based approach,” in Cyber Security: Proc. CSI 2015, pp. 59–67 (2018), doi: 10.1007/978-981-10-8536-9_7.
[15] S. A. Perestrelo, M. C. Grácio, N. de A. Ribeiro, and L. M. Lopes, “A multi-scale network with percolation model to describe the spreading of forest fires,” Mathematics, vol. 10, no. 4, p. 588 (2022), doi: 10.3390/math10040588.
[16] K. Rao and S. Mandapati, “A novel image encryption using parity based visual cryptography,” Ingénierie Des Systèmes d’Information, vol. 26, no. 9, pp. 135–142 (2021), doi: 10.18280/isi.260115.
[17] M. Sipper, Evolution of Parallel Cellular Machines: The Cellular Programming Approach. Springer (1997).
[18] W. Wang, Y. Zhou, J. Liu, and B. Sun, “On-street cruising for parking model in consideration with gaming elements and its impact analysis,” Mathematics, vol. 10, no. 19, p. 3423, 2022, doi: 10.3390/math10193423.
