A characterization of 𝔽_q -linear subsets of affine spaces 𝔽^n_q^2

Let $q$ be an odd prime power. We discuss possible definitions over $\FF_{q^2}$ (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 $S\subset \FF_{q^2}^n$ for $q\notin \{3,5,9\}$ we just get the $\FF_q$-affine span of...

Full description

Bibliographic Details
Main Author: Edoardo Ballico
Format: Article
Language:English
Published: Universidad de La Frontera 2022-04-01
Series:Cubo
Subjects:
Online Access:https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2958