A novel cryptosystem using integer power
Fatehiya Abdul Kareem Abedfathiya.abd2203m@csw.uobaghdad.edu.iqDepartment of Mathematics College of Science for Women University of BaghdadBaghdad, IraqView full profile → , *Zaynab Anwer AhmedCorresponding authorzainabaa_math@csw.uobaghdad.edu.iqDepartment of Mathematics College of Science for Women University of BaghdadBaghdad, IraqView full profile → , Abir Jaafer Hussainabir.hussain@sharjah.ac.aeCollege of Engineering University of Sharjah 26666, U.A.E.View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Feb 2025
- Published Online:
- 26 Jun 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2270
- Pages:
- 1317–1329
Abstract
Keywords
Subject Classifications
References
[1] Z. Liu, “Evaluating RSA Encryption: Primality Testing, Pollards Algorithms, and Security challenges,” Theor. Nat. Sci., vol. 13, no. 1, pp. 287–292 (2023), doi: 10.54254/2753-8818/13/20240864.
[2] D. Kahrobaei, R. Flores, and M. Noce, “Group-based Cryptography in the Quantum Era,” Not. Am. Math. Soc., vol. 70, no. 05, pp. 1 (2023), doi: 10.1090/noti2684.
[3] P. K. Arhin Jnr, M. Asante, and L. Otoo, “A Comparative Study of RSA and EL-Gamal Cryptosystems,” Int. J. Comput. Eng., vol. 4, no. 1, pp. 33–41 (2023), doi: 10.47941/ijce.1291.
[4] Manu and A. Goel, “Encryption Algorithm Using Dual Modulus,” in 3rd IEEE International Conference on “Computational Intelligence and Communication Technology” (IEEE-CICT 2017), pp. 1–4 (2017). doi: 10.1109/CIACT.2017.7977331.
[5] A. A. Emmanuel, O. A. Eniola, A. M. Okunade, and A. E. Olanrewaju, “A Note on Time and Space Complexity of RSA and ElGamal Cryptographic Algorithms,” Int. J. Adv. Comput. Sci. Appl., vol. 12, no. 7, pp. 143–147 (2021), doi: 10.14569/IJACSA.2021.0120716.
[6] A. Shetty, K. Shravya, and K. Krithika, “A Review on Asymmetric Cryptography – RSA and ElGamal Algorithm,” Int. J. Innov. Res. Comput. Commun. Eng., vol. 2, no. 5, pp. 98–105 (2014).
[7] S. M. Suhael, Z. A. Ahmed, and A. J. Hussain, “Proposed Hybrid Cryptosystems Based on Modifications of Playfair Cipher and RSA Cryptosystem,” Baghdad Sci. J., vol. 21, no. 1, pp. 151–160 (2024), doi: 10.21123/bsj.2023.8361.
[8] G. H. J. Lanel, T. M. K. K. Jinasena, and B. A. K. Welihinda, “A Survey of Public-Key Cryptography over Non-Abelian Groups,” Int. J. Comput. Sci. Netw. Secur., vol. 21, no. 4, pp. 289–300 (2021), doi: /10.22937/IJCSNS.2021.21.4.36.
[9] A. Thakkar and R. Gor, “Cryptographic Method to Enhance Data Security Using RSA Algorithm and Mellin Transform,” Int. J. Eng. Sci. Technol., vol. 7, no. 2, pp. 63–72 (2023), doi: 10.29121/ijoest.v7.i2.2023.490.
[10] B. Swami, R. Singh, and S. Choudhary, “Dual Modulus RSA Based on Jordan-Totient Function,” Procedia Technol., vol. 24, pp. 1581–1586 (2016), doi: 10.1016/j.protcy.2016.05.143.
[11] C. Intila, B. Gerardo, and R. Medina, “A Study of Public key ‘e’ in RSA Algorithm,” in IOP Conference Series: Materials Science and Engineering, IOP Publishing, pp. 012016 (2019). doi: 10.1088/1757-899X/482/1/012016.
[12] A. J. Ordonez, R. P. Medina, and B. D. Gerardo, “Modified El Gamal algorithm for multiple senders and single receiver encryption,” ISCAIE 2018 - 2018 IEEE Symp. Comput. Appl. Ind. Electron., no. October 2019, pp. 201–205 (2018), doi: 10.1109/ISCAIE.2018.8405470.
[13] W. D. M. G. M. Dissanayake, “An Improvement of The Basic El-Gamal Public Key Cryptosystem,” Int. J. Comput. Appl. Technol. Res., vol. 7, no. 2, pp. 40–44 (2018).
[14] R. Ranasinghe and P. Athukorala, “A generalization ofThe ElGamal public-key cryptosystem,” J. Discret. Math. Sci. Cryptogr., vol. 25, no. 8, pp. 2395–2403 (2022), doi: 10.1080/09720529.2020.1857902.
[15] M. K. Al-Naamee and S. M. Ali, “Improved El Gamal Public Key Cryptosystem Using 3D Chaotic Maps,” Bull. Electr. Eng. Informatics, vol. 10, no. 1, pp. 404–411 (2021), doi: 10.11591/eei.v10i1.2124.
[16] A. Kumar, Basic Group Theory. BFC Publications, India (2023).
[17] M. El Laz, B. Gregoire, and T. Razk, “Security Analysis of ElGamal Implementations,” in Secrypt 2020 - 17th International Conference on Security and Cryptography., Paris, France, pp. 310–321 (2020). doi: 10.5220/0009817103100321.
