For an arbitrary q-polynomial f over Fqn we study the problem of finding those q-polynomials g over Fqn for which the image sets of f(x)/x and g(x)/x coincide. For n≤5 we provide sufficient and necessary conditions and then apply our result to study maximum scattered linear sets of PG(1,q5).
@article{arxiv.1804.03251,
title = {A Carlitz type result for linearized polynomials},
author = {Bence Csajbók and Giuseppe Marino and Olga Polverino},
journal= {arXiv preprint arXiv:1804.03251},
year = {2020}
}