A new family of MRD-codes

We introduce a family of linear sets of PG(1,q2n) arising from maximum scattered linear sets of pseudoregulus type of PG(3,qn). For n=3,4 and for certain values of the parameters we show that these linear sets of PG(1,q2n) are maximum scattered and they yield new MRD-codes with parameters (6,6,q;5) for q>2 and with parameters (8,8,q;7) for q odd.