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math.NT2026
Permutation polynomials from the trace functions
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We study necessary and sufficient conditions on for several classes of polynomials of the form to be permutation polynomials over finite…
math.NT2025
Four new classes of permutation trinomials and their compositional inverses
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We construct four new classes of permutation trinomials over the cubic extension of a finite field with even characteristic. Additionally, we explicitly provide the compositional i…
math.NT2024
Local permutation polynomials and their companions
Sartaj Ul Hasan, Hridesh Kumar
Gutierrez and Urroz (2023) have proposed a family of local permutation polynomials over finite fields of arbitrary characteristic based on a class of symmetric subgroups without fi…