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)
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.
| Style | # |
|---|---|
| MLA | Mehmet Merkepci, Maretta Sarkis. "An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems." Galoitica: Journal of Mathematical Structures and Applications, Vol. 2, No. 2, 2022 ,PP. 28-30 (Doi : https://doi.org/10.54216/GJMSA.020205) |
| APA | Mehmet Merkepci, Maretta Sarkis. (2022). An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 2 ), 28-30 (Doi : https://doi.org/10.54216/GJMSA.020205) |
| Chicago | Mehmet Merkepci, Maretta Sarkis. "An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems." Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 no. 2 (2022): 28-30 (Doi : https://doi.org/10.54216/GJMSA.020205) |
| Harvard | Mehmet Merkepci, Maretta Sarkis. (2022). An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 2 ( 2 ), 28-30 (Doi : https://doi.org/10.54216/GJMSA.020205) |
| Vancouver | Mehmet Merkepci, Maretta Sarkis. An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 2 ( 2 ): 28-30 (Doi : https://doi.org/10.54216/GJMSA.020205) |
| IEEE | Mehmet Merkepci, Maretta Sarkis, An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 2 , No. 2 , (2022) : 28-30 (Doi : https://doi.org/10.54216/GJMSA.020205) |