Affine Tic-Tac-Toe on F_q^m has a finite threshold T(n,q) separating draws from first-player wins, with T(n,2) at most 2^{n+1} and exact values for several small cases.
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Thresholds for Tic-Tac-Toe on Finite Affine Spaces
Affine Tic-Tac-Toe on F_q^m has a finite threshold T(n,q) separating draws from first-player wins, with T(n,2) at most 2^{n+1} and exact values for several small cases.