1
Tishreen University, Department of Mathematics, Latakia, Syria
(Hasan2sankari@gmail.com)
2
Tishreen University, Department of Mathematics, Latakia, Syria
(Mohammadabobala777@gmail.com)
Abstract :
The objective of this paper is to present a novel application of 2-cyclic refined integers to build a novel crypto scheme for the encryption and decryption of data and information based on the algebraic properties of 2-cyclic refined integers combined with RSA algorithm, where an improved version of RSA crypto-scheme will be established and applied to the security of information and data. On the other hand, we illustrate some examples and figures to show the validity and complexity of the algorithm.
Keywords :
2-cyclic refined integers; RSA; EL-Gamal; security system
References :
[1] Abobala, M, "n-Cyclic Refined Neutrosophic Algebraic Systems Of Sub-Indeterminacies, An Application To Rings and Modules", International Journal of Neutrosophic Science, Vol. 12, pp. 81-95 . 2020.
[2] Sadiq. B., " A Contribution to The group Of Units Problem In Some 2-Cyclic Refined Neutrosophic Rings ", International Journal Of Neutrosophic Science, 2022.
[3] Von Shtawzen, O., " Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers", Journal Of Neutrosophic And Fuzzy Systems, Vol.3, 2022.
[4] Basheer, A., Ahmad, K., and Ali, R., " On Some Open Problems About n-Cyclic Refined Neutrosophic Rings and Number Theory", Journal Of Neutrosophic And Fuzzy Systems,, 2022
[5] Von Shtawzen, O., " On A Novel Group Derived from A Generalization Of Integer Exponents and Open Problems", Galoitica journal Of Mathematical Structures and Applications, Vol 1, 2022.
[6] Zayood, K., " On Novel Public-key Cryptosystem Using MDS Code", Neoma Journal Of Mathematics and Computer Science, 2023.
[7] Zayood, K., " On A Novel Generalization of The RSA Crypto-System", Neoma Journal Of Mathematics and Computer Science, 2023.
[8] Merkepci, M,; Sarkis, M. An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Galoitica Journal of Mathematical Structures and Applications 2022.
[9] Abobala, M., and Allouf, A., " On A Novel Security Scheme for The Encryption and Decryption Of 2 x 2 Fuzzy Matrices with Rational Entries Based on The Algebra of Neutrosophic Integers and El-Gamal Crypto-System", Neutrosophic Sets and Systems, vol.54, 2023.
[10] Merkepci, M., Abobala, M., and Allouf, A., " The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm ", Fusion: Practice and Applications, 2023.
[11] Merkepci, M., and Abobala, M., " Security Model for Encrypting Uncertain Rational Data Units Based on Refined Neutrosophic Integers Fusion and El Gamal Algorithm ", Fusion: Practice and Applications, 2023.
[12] Alhasan, Y., Alfahal, Aboubida., abdulfatah, R., Ali, R., and Aljibawi, M., " On A Novel Security Algorithm For The Encryption Of 3x3 Fuzzy Matrices With Rational Entries Based On The Symbolic 2-Plithogenic Integers And El-Gamal Algorithm", International Journal Of Neutrosophic Science, Vol.21, 2023.
[13] Al Basheer, O., " On Some Novel Simplex Linear Codes Defined Over The Algebraic Ring f2+vf2", Neoma Journal Of Mathematics and Computer Science, 2023.
| Style | # |
|---|---|
| MLA | Hasan Sankari, Mohammad Abobala. "On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers." Journal of Cybersecurity and Information Management, Vol. 12, No. 1, 2023 ,PP. 67-73 (Doi : https://doi.org/10.54216/JCIM.120106) |
| APA | Hasan Sankari, Mohammad Abobala. (2023). On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers. Journal of Journal of Cybersecurity and Information Management, 12 ( 1 ), 67-73 (Doi : https://doi.org/10.54216/JCIM.120106) |
| Chicago | Hasan Sankari, Mohammad Abobala. "On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers." Journal of Journal of Cybersecurity and Information Management, 12 no. 1 (2023): 67-73 (Doi : https://doi.org/10.54216/JCIM.120106) |
| Harvard | Hasan Sankari, Mohammad Abobala. (2023). On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers. Journal of Journal of Cybersecurity and Information Management, 12 ( 1 ), 67-73 (Doi : https://doi.org/10.54216/JCIM.120106) |
| Vancouver | Hasan Sankari, Mohammad Abobala. On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers. Journal of Journal of Cybersecurity and Information Management, (2023); 12 ( 1 ): 67-73 (Doi : https://doi.org/10.54216/JCIM.120106) |
| IEEE | Hasan Sankari, Mohammad Abobala, On a Generalization of RSA Crypto-system By Using 2-Cyclic Refined Integers, Journal of Journal of Cybersecurity and Information Management, Vol. 12 , No. 1 , (2023) : 67-73 (Doi : https://doi.org/10.54216/JCIM.120106) |