REAL

A new family of MRD-codes

Csajbók, Bence and Marino, Giuseppe and Polverino, Olga and Zanella, Corrado (2018) A new family of MRD-codes. LINEAR ALGEBRA AND ITS APPLICATIONS (548). pp. 203-220. ISSN 0024-3795

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Bence Csajbók
Date Deposited: 13 Sep 2018 06:21
Last Modified: 13 Sep 2018 06:21
URI: http://real.mtak.hu/id/eprint/83794

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