A New Public Key Encryption Based on Hexadecnion Algebra with Neutrosophic Integer Coefficients

Sahab Mohsen Abboud^1,*, Mohammed Hassan Hamza², Hassan Rashed Yassein³

¹Department of Mathematics, College of Basic Education, University of Babylon, Hillah, Iraq

²General Directorate of Al-Muthanna Education, Al-Muthanna, Iraq

³Department of Mathematics College of Education, University of Al-Qadisiyah, Al-Qadisiya, Iraq

Emails: bsc.sahab.jwer@uobabylon.edu.iq; edu-math.post16@qu.edu.iq; hassan.yaseen@qu.edu.iq

Abstract

HXDTRU is a multidimensional public key encryption system with sixteen encrypted data vectors at each step. In this work, we propose HXDHS, an improved version of HXDTRU based on hexadecnion algebra with neutrosophic integer coefficients, as well as a new mathematical construction includes three private keys with one public key to enhance the security and robustness of the public-key system. HXDHS is suitable for applications that require concurrent operation from multiple sources.

Keywords: Neutrosophic Integer; HXDTRU; Hexadecnion Algebra; Security Analysis