C(54,19,2) = 12

Method of Construction: Simple construction from (54,18,2)

Lower Bound: Bounds for fixed number of blocks

  1  2  3  4  5  6  7  8  9 28 29 30 31 32 33 34 35 36 49
  1  2  8 10 17 18 19 21 23 28 29 35 37 44 45 46 48 50 52
  1  2  8 11 16 17 22 24 26 27 28 29 35 38 43 49 51 53 54
  1  2  8 12 13 14 15 19 20 25 28 29 35 39 40 41 42 47 52
  3  7  9 10 11 13 14 15 16 26 30 34 36 37 40 41 42 43 53
  3  7  9 11 12 17 20 21 25 30 34 36 38 39 44 46 47 48 52
  3  7  9 17 18 19 22 23 24 27 30 34 36 45 46 49 50 51 54
  4  5  6 10 11 16 17 21 26 31 32 33 37 38 43 44 45 48 53
  4  5 10 12 20 22 23 24 25 27 31 32 37 39 47 49 51 52 54
  4  5 11 13 14 15 18 19 23 31 32 38 40 41 42 45 46 50 54
  6 11 13 14 15 17 21 22 24 27 33 40 41 42 44 48 49 51 54
  6 12 16 18 19 20 23 25 26 33 34 39 43 45 46 47 50 52 53