The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm

Mehmet; Mohammad; Ali

doi:https://doi.org/10.54216/FPA.100206

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Volume 10 • Issue 2 • PP: 69-74 • 2023

The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm

Mehmet Merkepci ^1*

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,

Mohammad Abobala ²

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,

Ali Allouf ³

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¹Department of Mathematics, Gaziantep University, Gaziantep, Turkey

²Tishreen University, Department of Mathematics, Latakia, Syria

³Tishreen University, Faculty Of computer engineering and automation, Latakia, Syria

* Corresponding Author.

DOI https://doi.org/10.54216/FPA.100206

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Received: November 22, 2022 Accepted: March 04, 2023

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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

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[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.

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Merkepci, Mehmet, Abobala, Mohammad, Allouf, Ali. "The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm." Fusion: Practice and Applications, vol. Volume 10, no. Issue 2, 2023, pp. 69-74. DOI: https://doi.org/10.54216/FPA.100206

Merkepci, M., Abobala, M., Allouf, A. (2023). The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm. Fusion: Practice and Applications, Volume 10(Issue 2), 69-74. DOI: https://doi.org/10.54216/FPA.100206

Merkepci, Mehmet, Abobala, Mohammad, Allouf, Ali. "The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm." Fusion: Practice and Applications Volume 10, no. Issue 2 (2023): 69-74. DOI: https://doi.org/10.54216/FPA.100206

Merkepci, M., Abobala, M., Allouf, A. (2023) 'The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm', Fusion: Practice and Applications, Volume 10(Issue 2), pp. 69-74. DOI: https://doi.org/10.54216/FPA.100206

Merkepci M, Abobala M, Allouf A. The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm. Fusion: Practice and Applications. 2023;Volume 10(Issue 2):69-74. DOI: https://doi.org/10.54216/FPA.100206

M. Merkepci, M. Abobala, A. Allouf, "The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm," Fusion: Practice and Applications, vol. Volume 10, no. Issue 2, pp. 69-74, 2023. DOI: https://doi.org/10.54216/FPA.100206

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