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International Journal of Neutrosophic Science

Volume 21 , Issue 1 , PP: 88-95, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm

Yaser Ahmad Alhasan 1 * , Abuobida Mohammed A. Alfahal 2 , Raja Abdullah Abdulfatah 3 , Rozina Ali 4 , Mayas Aljibawi 5

  • 1 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (y.alhasan@psau.edu.sa)
  • 2 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (a.alfahal@psau.edu.sa)
  • 3 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia - (r.abdulfatah@psau.edu.sa)
  • 4 Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt - (rozyyy123n@gmail.com)
  • 5 Computer Techniques Engineering Department, Al-Mustaqbal University, Hillah 51001, Iraq - (mayas.mohammed@uomus.edu.iq)

    • Doi: https://doi.org/10.54216/IJNS.210108

    Received: February 02, 2023 Revised: April 21, 2023 Accepted: May 03, 2023
    Abstract

    Mathematical cryptography applies special properties of integers and number theory in encrypting and decrypting messages in our world which is increasingly in demand for information security, especially for social media and multimedia. The objective of this work is to generalize El-Gamal crypto algorithm to be applied by using symbolic 2-plithogenic integers instead of classical integers. Also, we apply the novel algorithm to the encryption and the decryption of square  fuzzy matrices with rational entries, and fuzzy relations which can be represented as fuzzy matrices with rational entries. In addition, many examples with numerical data will be presented.

    Keywords :

    Symbolic 2-plithogenic integer , fuzzy matrix , fuzzy relation , EL-Gamal crypto-algorithm

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    Cite This Article As :
    Ahmad, Yaser. , Mohammed, Abuobida. , Abdullah, Raja. , Ali, Rozina. , Aljibawi, Mayas. On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 88-95. DOI: https://doi.org/10.54216/IJNS.210108
    Ahmad, Y. Mohammed, A. Abdullah, R. Ali, R. Aljibawi, M. (2023). On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm. International Journal of Neutrosophic Science, (), 88-95. DOI: https://doi.org/10.54216/IJNS.210108
    Ahmad, Yaser. Mohammed, Abuobida. Abdullah, Raja. Ali, Rozina. Aljibawi, Mayas. On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm. International Journal of Neutrosophic Science , no. (2023): 88-95. DOI: https://doi.org/10.54216/IJNS.210108
    Ahmad, Y. , Mohammed, A. , Abdullah, R. , Ali, R. , Aljibawi, M. (2023) . On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm. International Journal of Neutrosophic Science , () , 88-95 . DOI: https://doi.org/10.54216/IJNS.210108
    Ahmad Y. , Mohammed A. , Abdullah R. , Ali R. , Aljibawi M. [2023]. On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm. International Journal of Neutrosophic Science. (): 88-95. DOI: https://doi.org/10.54216/IJNS.210108
    Ahmad, Y. Mohammed, A. Abdullah, R. Ali, R. Aljibawi, M. "On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm," International Journal of Neutrosophic Science, vol. , no. , pp. 88-95, 2023. DOI: https://doi.org/10.54216/IJNS.210108

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