Geodesic
A new family of maximum scattered linear sets in PG(1,q^6)
Ars Mathematica Contemporanea, Tome 19 (2020) no. 1, pp. 125-145.

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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, qn)" (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 new. This solves an open problem posed in “Vertex properties of maximum scattered linear sets of PG(1, qn)" (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).
DOI : 10.26493/1855-3974.2137.7fa
Keywords: Scattered linear set, MRD-code, linearized polynomial 
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Daniele Bartoli; Corrado Zanella; Ferdinando Zullo. A new family of maximum scattered linear sets in PG(1,q^6). Ars Mathematica Contemporanea, Tome 19 (2020) no. 1, pp. 125-145. doi : 10.26493/1855-3974.2137.7fa. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2137.7fa/

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