TY - JOUR AU - Ballico, Edoardo PY - 2022/04/04 Y2 - 2024/03/28 TI - A characterization of \(\mathbb F_q\)-linear subsets of affine spaces \(\mathbb F_{q^2}^n\) JF - CUBO, A Mathematical Journal JA - CUBO VL - 24 IS - 1 SE - Articles DO - 10.4067/S0719-06462022000100095 UR - https://cubo.ufro.cl/ojs/index.php/cubo/article/view/2958 SP - 95–103 AB - <p class="p1">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 \(q otin \{3,5,9\}\) we just get the<span class="Apple-converted-space"> \(</span>\mathbb F_q\)-affine span of \(S\).</p> ER -