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Fusion: Practice and Applications

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Fusion: Practice and Applications

Volume 10 , Issue 2 , PP: 69-74, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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

  • 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)

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

    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

    [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. 

    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 69-74, 2023. DOI: https://doi.org/10.54216/FPA.100206

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