We introduce a family of linear sets of PG(1,q^2n) arising from maximum scattered linear sets of pseudoregulus type of PG(3,q^n). For n=3,4 and for certain values of the parameters we show that these linear sets of 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.
A new family of MRD-codes / Csajbok, Bence; Marino, Giuseppe; Polverino, Olga; Zanella, Corrado. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 548:(2018), pp. 203-220. [10.1016/j.laa.2018.02.027]
A new family of MRD-codes
Csajbok, Bence;
2018-01-01
Abstract
We introduce a family of linear sets of PG(1,q^2n) arising from maximum scattered linear sets of pseudoregulus type of PG(3,q^n). For n=3,4 and for certain values of the parameters we show that these linear sets of 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.File in questo prodotto:
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