54 ≤ C(33,5,2) ≤ 55

Created by: Jan de Heer and Steve Muir

Method of Construction: Private Tools

Lower Bound: Schonheim

  1  2  3 27 32
  1  2  4  7 17
  1  3  5 18 25
  1  6  8  9 20
  1 10 11 21 33
  1 12 28 30 32
  1 13 19 22 24
  1 14 15 16 23
  1 26 27 29 31
  2  3 11 20 32
  2  5  9 19 31
  2  6 12 21 22
  2  8 16 29 30
  2 10 15 24 27
  2 13 14 25 28
  2 18 23 26 33
  3  4 10 14 31
  3  6 19 23 27
  3  7  8 13 26
  3  9 15 21 28
  3 12 16 17 24
  3 22 29 30 33
  4  5 22 23 32
  4  6 24 25 29
  4  8 18 21 27
  4  9 11 13 30
  4 12 15 20 26
  4 16 19 28 33
  5  6  7 10 28
  5  8 12 14 33
  5 11 15 17 29
  5 13 16 20 27
  5 21 24 26 30
  6 11 16 18 31
  6 13 15 32 33
  6 14 17 26 30
  7  9 12 23 29
  7 11 14 22 27
  7 15 18 19 30
  7 16 21 25 32
  7 20 24 31 33
  8 10 17 19 32
  8 11 23 24 28
  8 15 22 25 31
  9 10 16 22 26
  9 14 18 24 32
  9 17 25 27 33
 10 12 13 18 29
 10 20 23 25 30
 11 12 19 25 26
 12 27 28 30 31
 13 17 21 23 31
 14 19 20 21 29
 17 18 20 22 28
 26 28 29 31 32