The classification of maximum scattered linear sets of $\mathrm{PG}(1,q^5)$

Giovanni Longobardi, Valentina Pepe

We classify the maximum scattered ${\mathbb{F}}_q$-linear sets of $\mathrm{PG}(1,q^5)$, proving that every such set is of pseudoregulus type or of Lunardon-Polverino type. Building o…