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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 27Issue 2PP: 195-203 • 2026

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

Maha Alsaoudi 1* ,
Gharib M. Gharib 2 ,
Fadil A. Jaradat 3 ,
Ahmad A. Abubaker 4 ,
Ahmed Atallah Alsaraireh 5
1Department of Science, Applied Science Private University, Jordan
2Department of Mathematics, Zarqa University, Zarqa , Jordan
3Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, United Arab Emirates
4Faculty of Computer Studies, Arab Open University, Saudi Arabia
5The University of Jordan, Aqaba, Department of computer information systems, Jordan
* Corresponding Author.
Received: April 01, 2025 Revised: June 06, 2025 Accepted: August 14, 2025

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

References

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[6]       H. R. Yassein and N. M. Al-Saidi, “HXDTRU cryptosystem based on hexadecnion algebra,” in Proc. 5th Int. Cryptol. Inf. Secur. Conf., Kota Kinabalu, Malaysia, 2016, vol. 31.

 

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[9]       F. Smarandache, Plithogeny, Plithogenic Set, Logic, Probability, and Statistics. Brussels, Belgium: Pons Editions, 2017.

 

[10]    R. Saadeh et al., "Linear Fractional Differential Equations for Modeling Nonlinear Hydro Environmental Phenomena," Eng. Lett, vol. 33, no. 6, 2025.

 

[11]    M. Celik and A. Hatip, "On The Refined AH-Isometry And Its Applications In Refined Neutrosophic Surfaces," Galoisica J. Math. Struct. Appl., 2022.

 

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Cite This Article

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Alsaoudi, Maha, Gharib, Gharib M., Jaradat, Fadil A., Abubaker, Ahmad A., Alsaraireh, Ahmed Atallah. "A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra." International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, 2026, pp. 195-203. DOI: https://doi.org/10.54216/IJNS.270217
Alsaoudi, M., Gharib, G., Jaradat, F., Abubaker, A., Alsaraireh, A. (2026). A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra. International Journal of Neutrosophic Science, Volume 27(Issue 2), 195-203. DOI: https://doi.org/10.54216/IJNS.270217
Alsaoudi, Maha, Gharib, Gharib M., Jaradat, Fadil A., Abubaker, Ahmad A., Alsaraireh, Ahmed Atallah. "A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra." International Journal of Neutrosophic Science Volume 27, no. Issue 2 (2026): 195-203. DOI: https://doi.org/10.54216/IJNS.270217
Alsaoudi, M., Gharib, G., Jaradat, F., Abubaker, A., Alsaraireh, A. (2026) 'A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra', International Journal of Neutrosophic Science, Volume 27(Issue 2), pp. 195-203. DOI: https://doi.org/10.54216/IJNS.270217
Alsaoudi M, Gharib G, Jaradat F, Abubaker A, Alsaraireh A. A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra. International Journal of Neutrosophic Science. 2026;Volume 27(Issue 2):195-203. DOI: https://doi.org/10.54216/IJNS.270217
M. Alsaoudi, G. Gharib, F. Jaradat, A. Abubaker, A. Alsaraireh, "A Novel Application of Symbolic 2-Plithogenic Integers and Refined Neutrosophic Numbers in Public Key Encryption Based On Hexadecnion Algebra," International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, pp. 195-203, 2026. DOI: https://doi.org/10.54216/IJNS.270217
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