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Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications

Volume 2 , Issue 2 , PP: 28-30, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems

Mehmet Merkepci 1 * , Maretta Sarkis 2

  • 1 Department of Computer Engineering, Gaziantep University, Gaziantep, Turkey - (mehmet.merkepci@gmail.com)
  • 2 Abu Dhabi University, Abu Dhabi, United Arab Emirates - (Sarkismaretta1990@gmail.com)

    • Doi: https://doi.org/10.54216/GJMSA.020205

    Received: March 18, 2022 Accepted: September 16, 2022
    Abstract

    In this work, we present a direct application for Pythagorean circles in the theory of cryptography by using integer points on these circles, as well as we describe some numerical systems to generalize classical well-known crypto-algorithms and systems. Also, we illustrate many examples to clarify the validity of our work.

    Keywords :

    Plain text , Encryption , Decryption , Key point.  ,

    References

    [1] Abobala, M., Partial Foundation of Neutrosophic Number Theory, Neutrosophic Sets and Systems, Vol. 39 ,

    2021.

    [2] Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic

    sets and systems, Vol. 45, 2021.

    [3] History of Cryptography ,"AN ESAY TO UNDERSTAND HISTORY OF CRYPTOGEAPHY " , Thawet,

    2013 .

    [4] H.S.A.Rose,Course in number theory .Oxford Sciences publication .(Clarendon),1988.

    [5] Cryptography Schemes based on Elliptic Curve Pairings "(2004) S . S Al-Riyami University of London .

    [6].Springer."Elliptic Curve Cryptosystems" (2016) Christof Paar,Jan Pelzl.

    Cite This Article As :
    Merkepci, Mehmet. , Sarkis, Maretta. An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2022, pp. 28-30. DOI: https://doi.org/10.54216/GJMSA.020205
    Merkepci, M. Sarkis, M. (2022). An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Galoitica: Journal of Mathematical Structures and Applications, (), 28-30. DOI: https://doi.org/10.54216/GJMSA.020205
    Merkepci, Mehmet. Sarkis, Maretta. An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Galoitica: Journal of Mathematical Structures and Applications , no. (2022): 28-30. DOI: https://doi.org/10.54216/GJMSA.020205
    Merkepci, M. , Sarkis, M. (2022) . An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Galoitica: Journal of Mathematical Structures and Applications , () , 28-30 . DOI: https://doi.org/10.54216/GJMSA.020205
    Merkepci M. , Sarkis M. [2022]. An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Galoitica: Journal of Mathematical Structures and Applications. (): 28-30. DOI: https://doi.org/10.54216/GJMSA.020205
    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, vol. , no. , pp. 28-30, 2022. DOI: https://doi.org/10.54216/GJMSA.020205

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