Thresholds for Tic-Tac-Toe on Finite Affine Spaces

Luca Bastioni, Alessandro Giannoni, Javier Lobillo-Olmedo

We introduce an affine version of Tic-Tac-Toe played on the finite affine space ${\mathbb{F}}_q^m$. Two players alternately claim points, and the first player to occupy all points of…