Daniel Panario, Nihal Uyar, Qiang Wang
Published 2023-05-05Version 1
The R\'{e}dei function defined over a field of even characteristic has been introduced by N\"{o}bauer 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 R\'{e}dei function over a field of characteristic 2.
Some families of permutation polynomials over finite fields
Permutation polynomials of degree 8 over finite fields of odd characteristic
Construction of Permutation Polynomials over Finite Fields with the help of SCR polynomials
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