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

Mehmet Merkepci¹, Maretta Sarkis²

Department of Computer Engineering, Gaziantep University, Gaziantep, Turkey

Abu Dhabi University, Abu Dhabi, United Arab Emirates

Emails: mehmet.merkepci@gmail.com; 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.