A new family of maximum scattered linear sets in PG(1,q^6)
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We generalize the example of linear set presented by the last two authors in "Vertex properties of maximum scattered linear sets of PG(1,q^n)" (2019) to a more general family, proving that such linear sets are maximum scattered when q is odd and, apart from a special case, they are are new. This solves an open problem posed in "Vertex properties of maximum scattered linear sets of PG(1,q^n)" (2019). As a consequence of Sheekey's results in "A new family of linear maximum rank distance codes" (2016), this family yields to new MRD-codes with parameters (6,6,q;5).
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