For 5 idempotent MOLS(55), consider the following arrays over Z47:

                  -    -   -  -            0
            A1 =  0    0   0  0      A2 =  5
                  1    7  12 18           16
                  3   45  18  4           40
                  6   17   3 31           40
                 43    9  46 10           16
                 26   25  33 32            5



Replace each column of [A1 | -A1 | A2] by
its 7 cyclic shifts. This gives a (47,7,1,1;8) QDM.



-- R.J. R. Abel