lower bound = 94

C(34,4,2) = 94

Created by: W. H. Mills

Method of Construction: see paper in Journal of Combinatorial Theory A, vol 15 (1973), pp, 138-166

Lower Bound: Schonheim

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