A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra

Maha Alsaoudi¹, Gharib M. Gharib^2,*, Fadil A. Jaradat^3,*, Ahmad A. Abubaker⁴,
Ahmed Atallah Alsaraireh⁵

¹Department of Science, Applied Science Private University, Jordan

²Department of Mathematics, Zarqa University, Zarqa , Jordan

Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, United Arab Emirates³

⁴Faculty of Computer Studies, Arab Open University, Saudi Arabia

The University of Jordan, Aqaba, Department of computer information systems, Jordan ⁵

Emails: m_alsoudi@asu.edu.jo; ggharib@zu.edu.jo; Fadil.jaradat@adu.ac.ae; a.abubaker@arabou.edu.sa; a.alsarairah@ju.edu.jo

Abstract

In this work, we use the symbolic 2-plithogenic integers and refined neutrosophic numbers to get a generalized version of HXDTRU with a strict approach includes three symbolic 2-plithogenic and refined neutrosophic private keys with one public symbolic 2-pithogenic and refined neutrosophic key to improve the security. In addition, we analyse the complexity of the generalized systems numerically.

Keywords: Refined neutrosophic number; Symbolic 2-plithogenic number; Hexadecnion 2-plithogenic Algebra; Complexity; Encryption