Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1382 2022 2022 An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems Department of Computer Engineering, Gaziantep University, Gaziantep, Turkey Mehmet Merkepci Abu Dhabi University, Abu Dhabi, United Arab Emirates Maretta Sarkis 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. 2022 2022 28 30 10.54216/GJMSA.020205 https://www.americaspg.com/articleinfo/33/show/1382