1
Department of Mathematics, Gaziantep University, Gaziantep, Turkey
(mehmet.merkepci@gmail.com)
2
Tishreen University, Department of Mathematics, Latakia, Syria
(Mohammadabobala777@gmail.com)
3
Tishreen University, Faculty Of computer engineering and automation, Latakia, Syria
(Ali.allouf@gmail.com)
Abstract :
The objective of this paper is to build the neutrosophic version of the RSA crypto-algorithm, where we use the foundations of fusion neutrosophic number theory such as neutrosophic phi-Euler's function, neutrosophic congruencies, and neutrosophic inverses to build novel algorithms for cryptography depending of famous RSA algorithm.
Keywords :
Neutrosophic Cryptography; Neutrosophic RSA Algorithm; Public key Cryptography; Fusion Neutrosophic Number Theory
References :
[1] Celik, M., and Olgun, N., " An Introduction To Neutrosophic Real Banach And Hillbert Spaces", GaloiticaJournal Of Mathematical Structures And Applications, 2022.
[2] Celik, M., and Olgun, N., " On The Classification Of Neutrosophic Complex Inner Product Spaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.
[3] Abobala, M., Partial Foundation of Neutrosophic Number Theory, Neutrosophic Sets and Systems, Vol. 39 , 2021.
[4] Smarandache, F., and Kandasamy, V.W.B., " Finite Neutrosophic Complex Numbers",·Source: arXiv. 2011.
[5] Agboola, A.A.A., Akinola, A.D., and Oyebola, O.Y., " Neutrosophic Rings I" , International J.Mathcombin, Vol 4,pp 1-14. 2011.
[6] Adeleke, E.O., Agboola, A.A.A.,and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of Neutrosophic Science, Vol. 2(2), pp. 77-81. 2020.
[7] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021.
[8] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021.
[9] Cozzens, M. Miller, S.J. (2013). The Mathematics of Encryption: An Elementary Introduction, American Mathematical Society.
[10] Abdul Rahaman Wahab Sait , Irina Pustokhina , M. Ilayaraja, Modeling of Multiple Share Creation with Optimal Signcryption Technique for Digital Image Security, Journal of Intelligent Systems and Internet of Things, Vol. 0 , No. 1 , (2019) : 26-36.
[11] Sankari, H., and Abobala, M., "Neutrosophic Linear Diophantine Equations With two Variables", Neutrosophic Sets and Systems, Vol. 38, pp. 22-30, 2020.
[12] Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic sets and systems, Vol. 45, 2021.
[13] Smarandache, F. (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. Rehoboth: American Research Press.
[14] Merkepci, M., and 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.
[15] Mezher, A,E., "Enhanced RSA Cryptosystem Based on Multiplicity Of Public and Private Keys ", International Journal Of Electrical and Computer Engineering, Vol.8, No.5, 2018.
[16] Sarkis, M., " On The Solutions Of Fermat's Diophantine Equation In 3-refined Neutrosophic Ring of Integers", Neoma Journal of Mathematics and Computer Science, 2023.
| Style | # |
|---|---|
| MLA | Mehmet Merkepci, Mohammad Abobala, Ali Allouf. "The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm." Fusion: Practice and Applications, Vol. 10, No. 2, 2023 ,PP. 69-74 (Doi : https://doi.org/10.54216/FPA.100206) |
| APA | Mehmet Merkepci, Mohammad Abobala, Ali Allouf. (2023). The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm. Journal of Fusion: Practice and Applications, 10 ( 2 ), 69-74 (Doi : https://doi.org/10.54216/FPA.100206) |
| Chicago | Mehmet Merkepci, Mohammad Abobala, Ali Allouf. "The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm." Journal of Fusion: Practice and Applications, 10 no. 2 (2023): 69-74 (Doi : https://doi.org/10.54216/FPA.100206) |
| Harvard | Mehmet Merkepci, Mohammad Abobala, Ali Allouf. (2023). The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm. Journal of Fusion: Practice and Applications, 10 ( 2 ), 69-74 (Doi : https://doi.org/10.54216/FPA.100206) |
| Vancouver | Mehmet Merkepci, Mohammad Abobala, Ali Allouf. The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm. Journal of Fusion: Practice and Applications, (2023); 10 ( 2 ): 69-74 (Doi : https://doi.org/10.54216/FPA.100206) |
| IEEE | Mehmet Merkepci, Mohammad Abobala, Ali Allouf, The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm, Journal of Fusion: Practice and Applications, Vol. 10 , No. 2 , (2023) : 69-74 (Doi : https://doi.org/10.54216/FPA.100206) |