REAL

On a conjecture about maximum scattered subspaces of Fq6 × Fq6

Bartoli, Daniele and Csajbók, Bence and Montanucci, Maria (2021) On a conjecture about maximum scattered subspaces of Fq6 × Fq6. LINEAR ALGEBRA AND ITS APPLICATIONS. pp. 1-28. ISSN 0024-3795 (print); 1873-1856 (online) (In Press)

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Abstract

We prove that under the action of GL(2,q6) there are lower integer part (q2+q+1)(q-2)/2 equivalence classes of maximum scattered subspaces of the form Ub={(x,bxq+x(q4)) : x in GF(q6)} in GF(q6)×GF(q6). This verifies a conjecture of Csajbók, Marino, Polverino and Zanella from 2018.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Depositing User: Bence Csajbók
Date Deposited: 07 Sep 2021 06:38
Last Modified: 07 Sep 2021 06:38
URI: http://real.mtak.hu/id/eprint/129075

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