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

Mehmet; Maretta

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

Full Length Article

Volume 2 • Issue 2 • PP: 28-30 • 2022

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

Mehmet Merkepci ^1*

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,

Maretta Sarkis ²

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¹Department of Computer Engineering, Gaziantep University, Gaziantep, Turkey

²Abu Dhabi University, Abu Dhabi, United Arab Emirates

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.020205

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

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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.&nbsp

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.

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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. Volume 2, no. Issue 2, 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, Volume 2(Issue 2), 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 Volume 2, no. Issue 2 (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, Volume 2(Issue 2), pp. 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. 2022;Volume 2(Issue 2):28-30. DOI: https://doi.org/10.54216/GJMSA.020205

M. Merkepci, M. Sarkis, "An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 2, no. Issue 2, pp. 28-30, 2022. DOI: https://doi.org/10.54216/GJMSA.020205

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