A Construction of Permutation Polynomials Using Rédei Function in Even Characteristic

The Rédei function defined over a field of even characteristic has been introduced by Nöbauer in 1986 \cite{even}. In this paper, inspired by the work of Fu et al. \cite{wang} in odd characteristic, employing the AGW criterion \cite{agw}, we present a recursive construction of permutation polynomials in even characteristic using the Rédei function over a field of characteristic 2.