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Authors
Sajjad, Muhammad
Alqwaifly, Nawaf A.
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Article History
Received: 13 March 2025
Accepted: 11 November 2025
First Online: 31 December 2025
<!--Emphasis Type='Bold' removed-->Declarations
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: No, I declare that the author have no competing interests as defined by Research, or other interests that might be perceived to influence the results and/or discussion reported in this paper.
: Not applicable.
: Not applicable.
: We express our heartfelt gratitude to our Supervisor, Professor Dr. Tariq Shah (Late), whose remarkable mentorship, profound expertise, and unwavering support played a pivotal role in our development as researchers in algebra, number theory, coding theory, cryptography, and cybersecurity. His guidance left a lasting impact on our academic journey and personal growth. His legacy continues to inspire our work, and we pray for his eternal peace.
