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…