Permutation polynomials with Carlitz rank 2 (Q2219946)

``The Carlitz rank of a permutation polynomial is an important measure of complexity of a polynomial''. The weight of a polynomial \(f\) is the number of non-null coefficients of \(f\). A challenging problem is to give a lower bound for the weight of a polynomial \(f\) in terms of its Carlitz rank. Using techniques of algebraic nature, the authors provide an improvement of a known lower bound from Gomez-Perez, Ostafe, and Topuzoglu, given the Carlitz rank of \(f\) equals \(2\).