lower bound = 108

C(36,4,2) = 108

Created by: Jan de Heer and Steve Muir

Method of Construction: Cyclic Covering

Lower Bound: Schonheim

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