International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 27 , Issue 2 , PP: 195-203, 2026 | Cite this article as | XML | Html | PDF | Full Length Article

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

  • 1 Department of Science, Applied Science Private University, Jordan - (m_alsoudi@asu.edu.jo)
  • 2 Department of Mathematics, Zarqa University, Zarqa , Jordan - (ggharib@zu.edu.jo)
  • 3 Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, United Arab Emirates - (Fadil.jaradat@adu.ac.ae)
  • 4 Faculty of Computer Studies, Arab Open University, Saudi Arabia - (a.abubaker@arabou.edu.sa)
  • 5 The University of Jordan, Aqaba, Department of computer information systems, Jordan - (a.alsarairah@ju.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.270217

    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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    Cite This Article As :
    Alsaoudi, Maha. , M., Gharib. , Fadil, . , A., Ahmad. , Atallah, Ahmed. 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. , no. , 2026, pp. 195-203. DOI: https://doi.org/10.54216/IJNS.270217
    Alsaoudi, M. M., G. Fadil, . A., A. Atallah, 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, (), 195-203. DOI: https://doi.org/10.54216/IJNS.270217
    Alsaoudi, Maha. M., Gharib. Fadil, . A., Ahmad. Atallah, Ahmed. 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 , no. (2026): 195-203. DOI: https://doi.org/10.54216/IJNS.270217
    Alsaoudi, M. , M., G. , Fadil, . , A., A. , Atallah, 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 , () , 195-203 . DOI: https://doi.org/10.54216/IJNS.270217
    Alsaoudi M. , M. G. , Fadil . , A. A. , Atallah 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. (): 195-203. DOI: https://doi.org/10.54216/IJNS.270217
    Alsaoudi, M. M., G. Fadil, . A., A. Atallah, 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, vol. , no. , pp. 195-203, 2026. DOI: https://doi.org/10.54216/IJNS.270217