On a conjecture about maximum scattered subspaces of Fq6×Fq6

Autor:	Daniele Bartoli, Maria Montanucci, Bence Csajbók
Rok vydání:	2021
Předmět:	Combinatorics Numerical Analysis Algebra and Number Theory Conjecture Discrete Mathematics and Combinatorics Geometry and Topology Linear subspace Action (physics) Mathematics
Zdroj:	Linear Algebra and its Applications. 631:111-135
ISSN:	0024-3795
DOI:	10.1016/j.laa.2021.08.023
Popis:	We prove that under the action of GL ( 2 , q 6 ) there are ⌊ ( q 2 + q + 1 ) ( q − 2 ) / 2 ⌋ equivalence classes of maximum scattered subspaces of the form U b = { ( x , b x q + x q 4 ) : x ∈ F q 6 } in F q 6 × F q 6 . This verifies a conjecture of Csajbok, Marino, Polverino and Zanella from 2018.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::766bb6f41218b65dae22d47758e930bc https://doi.org/10.1016/j.laa.2021.08.023 Zobrazit plný text záznamu Full Text from ScienceDirect