65.133 AreMOLS

AreMOLS( L )

AreMOLS determines if L is a list of mutually orthogonal latin squares (MOLS). For each pair of latin squares in this list, the function checks if each ordered pair of elements that are in the same position in these matrices occurs exactly once. The function MOLS creates MOLS (see MOLS).

    gap> M := MOLS(4,2);
    [ [ [ 0, 1, 2, 3 ], [ 1, 0, 3, 2 ], [ 2, 3, 0, 1 ], [ 3, 2, 1, 0 ] ],
      [ [ 0, 2, 3, 1 ], [ 1, 3, 2, 0 ], [ 2, 0, 1, 3 ], [ 3, 1, 0, 2 ] ] ]
    gap> AreMOLS(M);
    true 

Previous Up Top Next
Index