Ramandeep Kaur

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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 $γ$ for several classes of polynomials of the form $X + γ Tr_{q}^{q^{n}} (h (X))$ 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

Some new classes of permutation polynomials and their compositional inverses

Sartaj Ul Hasan, Ramandeep Kaur

We focus on the permutation polynomials of the form $L(X)+\Tr_{m}^{3m}(X)^{s}$ over $\F_{q^3}$, where $\F_q$ is the finite field with $q = p^{m}$ elements, $p$ is a prime number, $m$ i…