Maximum scattered 픽q-linear sets of PG(1, q4)

Abstract There are two known families of maximum scattered F q -linear sets in PG ( 1 , q t ) : the linear sets of pseudoregulus type and for t ≥ 4 the scattered linear sets found by Lunardon and Polverino. For t = 4 we show that these are the only maximum scattered F q -linear sets and we describe the orbits of these linear sets under the groups PGL ( 2 , q 4 ) and PΓL ( 2 , q 4 ) .

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