A class of linear sets in PG(1,q5)

Abstract

Maximum scattered linear sets in PG(1,qn) have been completely classified for n≤4, see Csajbók and Zanella (2018) [9]; Lavrauw and Van de Voorde (2010) [10]. Here a wide class of linear sets in PG(1,q5) is studied which depends on two parameters. Conditions for the existence, in this class, of possible new maximum scattered linear sets in PG(1,q5) are exhibited.