lower bound = 111

C(37,4,2) = 111

Created by: Colin Barker

Method of Construction: Constructed using difference sets

Lower Bound: Schonheim

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