Quasirandom Latin squares. Issue 2 (12th November 2021) - Cooper, Jacob W.
Abstract: We prove a conjecture by Garbe et al. [arXiv:2010.07854] by showing that a Latin square is quasirandom if and only if the density of every 2 × 3 pattern is 1 / 720 + o ( 1 ) . This result is the best possible in the sense that 2 × 3 cannot be replaced with 2 × 2 or 1 × n for any n .