Short proof that no pair of orthogonal Latin squares of order 6 exists, with a direct proof that no affine plane of order 6 exists.
Dougherty, A coding theoretic solution to the 36 office r problem, Des
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Thirty-six Officers and their Code
Short proof that no pair of orthogonal Latin squares of order 6 exists, with a direct proof that no affine plane of order 6 exists.