28 ≤ C(42,9,2) ≤ 29

Created by: Colin Barker

Method of Construction: Simulated Annealing

Lower Bound: Schonheim

  1  2  3  4  5  6  7  8  9
  1  5  6 13 14 19 21 40 41
  1  6 10 16 17 18 25 28 31
  1  6 11 12 13 29 35 36 37
  1  6 15 20 22 23 32 38 39
  1  6 24 26 27 30 33 34 42
  2  9 10 13 22 23 26 27 40
  2  9 10 16 24 35 36 39 41
  2  9 11 15 24 25 29 31 33
  2  9 12 14 17 19 20 34 37
  2  9 18 21 28 30 32 38 42
  3  4  5 10 11 21 29 34 39
  3  5 13 18 20 24 28 33 41
  3  5 17 22 23 30 35 36 42
  3 12 25 31 32 35 37 38 40
  3 14 15 16 19 21 26 27 35
  4 11 17 26 27 29 32 38 41
  4 12 16 21 22 23 24 33 37
  4 13 14 19 25 30 31 39 42
  4 15 18 20 28 34 35 36 40
  5  7 12 18 26 27 28 37 39
  5  8 13 15 16 17 32 34 38
  5  8 20 21 25 26 27 31 36
  7  8 10 12 15 30 37 41 42
  7  8 17 21 24 33 35 39 40
  7 10 11 16 20 29 30 40 42
  7 10 13 22 23 25 31 34 41
  7 10 14 19 24 32 33 36 38
  8 11 14 18 19 22 23 28 29