Below is a quasi difference matrix, QDM, over Z47 which gives 3 IMOILS(50,3) Each column (a b c d e) below (except the first) generates 2 columns in the QDM: (a b c d e) and (b a d c e). 0 0 0 24 19 40 20 13 4 30 32 25 42 45 33 |\\ 0 11 10 41 26 2 5 38 12 18 36 23 16 14 9 |\\ 0 25 17 44 46 11 41 43 33 24 13 39 28 29 26 |\\ 0 8 18 0 1 37 16 23 2 34 27 15 20 38 21 |\\ - - 0 0 0 0 0 0 0 0 0 0 0 0 0 |\\ 44 46 27 1 31 34 37 15 17 - - - |\\ 39 43 28 35 11 6 8 21 3 7 29 22 |\\ 31 9 22 10 30 32 42 4 36 8 40 6 |\\ 35 45 7 3 12 19 - - - 14 5 25 |\\ 0 0 0 0 0 0 0 0 0 0 0 0 |\\