Quaternion Algebra and Neutrosophic Integers for Generating an Efficient Mathematical Encryption System

Authors

  • Majida H. Majeed Al-Qadisiyah Education Directorate, Al-Qadisiyah, Iraq.
  • Mohammed Hassan Hamza Department of Computer Technical engineering, College of Information Technology, Imam Ja'afar Al-Sadiq University, Al-Muthanna, Iraq.
  • Abdullah Mhmood Jasim Department of Mathematics, College of Education-Tuzkhurmatu, Tikrit University, Salahaddin, Iraq.
  • Hassan Rashed Yassein Department of Mathematics College of Education, University of Al-Qadisiyah, Al-Qadisiyah, Iraq.

Keywords:

Neutrosophic Integer; QTRU; Quaternion Algebra; Security Analysis.

Abstract

The exchange of information between two parties always requires protecting its 
confidentiality from any unauthorized third party, which requires sending it encrypted using a 
secure cryptographic system. In this paper, we present a cryptosystem based on quaternion algebra 
with neutrosophic integer coefficients, an evolution of the QTRU system with features that make 
this system effective and desirable for many organizations concerned with information security.

 

DOI: 10.5281/zenodo.16887977

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Published

2025-12-01

Issue

Vol. 91 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Majida H. Majeed, Mohammed Hassan Hamza, Abdullah Mhmood Jasim, & Hassan Rashed Yassein. (2025). Quaternion Algebra and Neutrosophic Integers for Generating an Efficient Mathematical Encryption System. Neutrosophic Sets and Systems, 91, 838-850. https://fs.unm.edu/nss8/index.php/111/article/view/7046