A characterization of \(\mathbb F_q\)-linear subsets of affine spaces \(\mathbb F_{q^2}^n\)

dc.creator	Ballico, Edoardo
dc.date	2022-04-04
dc.identifier	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2958
dc.identifier	10.4067/S0719-06462022000100095
dc.description	Let \(q\) be an odd prime power. We discuss possible definitions over \(\mathbb F_{q^2}\) (using the Hermitian form) of circles, unit segments and half-lines. If we use our unit segments to define the convex hulls of a set \(S\subset \mathbb F_{q^2}^n\) for \(q\notin \{3,5,9\}\) we just get the \(\mathbb F_q\)-affine span of \(S\).	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2958/2184
dc.rights	Copyright (c) 2022 E. Ballico	en-US
dc.rights	https://creativecommons.org/licenses/by-nc/4.0/	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 24 No. 1 (2022); 95–103	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 24 Núm. 1 (2022); 95–103	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Finite field	en-US
dc.subject	Hermitian form	en-US
dc.title	A characterization of \(\mathbb F_q\)-linear subsets of affine spaces \(\mathbb F_{q^2}^n\)	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion