A characterization of \(\mathbb F_q\)-linear subsets of affine spaces \(\mathbb F_{q^2}^n\)
Author
Ballico, Edoardo
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/295810.4067/S0719-06462022000100095
Abstract
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 \(S\).