The Applications of Fusion Neutrosophic Number Theory in Public Key Cryptography and the Improvement of RSA Algorithm

Mehmet Merkepci¹, Mohammad Abobala², Ali Allouf³

^1. Department of Mathematics, Gaziantep University, Gaziantep, Turkey

^2. Tishreen University, Department of Mathematics, Latakia, Syria

^3. Tishreen University, Faculty Of computer engineering and automation, Latakia, Syria

Emails: mehmet.merkepci@gmail.com; Mohammadabobala777@gmail.com; Ali.allouf@gmail.com

Abstract

The objective of this paper is to build the neutrosophic version of the RSA crypto-algorithm, where we use the foundations of fusion neutrosophic number theory such as neutrosophic phi-Euler's function, neutrosophic congruencies, and neutrosophic inverses to build novel algorithms for cryptography depending of famous RSA algorithm.

Keywords: Neutrosophic Cryptography; Neutrosophic RSA Algorithm; Public key Cryptography; Fusion Neutrosophic Number Theory