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American Scientific Publishing Group

verified Journal

Fusion: Practice and Applications

ISSN
Online: 2692-4048 Print: 2770-0070
Frequency

Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

Fusion: Practice and Applications
Full Length Article

Volume 10Issue 2PP: 69-74 • 2023

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

Mehmet Merkepci 1* ,
Mohammad Abobala 2 ,
Ali Allouf 3
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.
Received: November 22, 2022 Accepted: March 04, 2023

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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[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.

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[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. 

Cite This Article

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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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