Representing the inverse map as a composition of quadratics in a finite field of characteristic $2$

Florian Luca, Santanu Sarkar, Pantelimon Stanica

In 1953, Carlitz~\cite{Car53} showed that all permutation polynomials over $\F_q$, where $q>2$ is a power of a prime, are generated by the special permutation polynomials $x^{q-2}$…