3 papers
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.CO2026
Bivariate local permutation polynomials, their companions, and related enumeration results
Sartaj Ul Hasan, Ramandeep Kaur, Hridesh Kumar
We construct a new family of permutation group polynomials over finite fields of arbitrary characteristic, which are special types of bivariate local permutation polynomials. For t…
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…