Abstract
Permutation polynomials over finite fields constitute an active area of research and play an important role in diverse domains, including finite geometry, combinatorial design, coding theory, and cryptography. The study of these polynomials has a long history, and many results have been obtained in recent years. This paper presents new classes of permutation pentanomials based on permutation over the unit circle of finite fields with even characteristic that contribute to the theoretical development of permutation polynomials.
Recommended Citation
Gupta, Shalini; Kumar, Sushil; and ., Ashima
(2025).
(SI15-064) Permutation Pentanomials over Finite Fields with Even Characteristic,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
4, Article 12.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss4/12