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math.CO2026
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 . Two players alternately claim points, and the first player to occupy all points of…
math.CO2023
On complete -arcs
Luca Bastioni, Giacomo Micheli
Let be a positive integer and be a prime power. For large finite base fields , we show that any curve can be used to produce a complete -arc as long as some…