Bence Csajbók, Giuseppe Marino, Olga Polverino, Corrado Zanella
Published 2017-07-26Version 1
We introduce a family of linear sets of $\mathrm{PG}(1,q^{2n})$ arising from maximum scattered linear sets of pseudoregulus type of $\mathrm{PG}(3,q^{n})$. For $n=3,4$ and for certain values of the parameters we show that these linear sets of $\mathrm{PG}(1,q^{2n})$ 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.
New maximum scattered linear sets of the projective line
Vertex properties of maximum scattered linear sets of $\mathrm{PG}(1,q^n)$
A new family of maximum scattered linear sets in $\mathrm{PG}(1,q^6)$
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