A Carlitz type result for linearized polynomials
Bence Csajbók, Giuseppe Marino, Olga Polverino · Ars Mathematica Contemporanea · 2019
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).