33 ≤ C(19,7,3) ≤ 35

Created by: Roy Gourgi

Method of Construction: Extraction/remainder

Lower Bound: Schonheim

  1  2  3  4  8 15 19
  1  2  5  9 13 17 18
  1  2  6 10 11 12 14
  1  2  7 12 16 18 19
  1  3  4  5  6 11 16
  1  3  4  7 10 13 17
  1  3  4  9 12 14 18
  1  5  7  8 12 14 19
  1  5  9 10 11 13 15
  1  6  7  9 11 15 18
  1  6  8 11 13 17 19
  1  8  9 10 16 18 19
  1 12 13 14 15 16 17
  2  3  5  6  8 13 17
  2  3  5  7  9 10 12
  2  3 11 13 14 16 18
  2  4  5  9 11 14 19
  2  4  6  7 13 18 19
  2  4 10 12 16 17 19
  2  5  6  8  9 15 16
  2  7  8 11 14 15 17
  2  8 10 12 13 15 18
  3  5 14 15 17 18 19
  3  6  7  8 10 14 18
  3  6  9 12 13 15 19
  3  7 10 11 15 16 19
  3  8  9 11 12 16 17
  4  5  7 11 12 13 15
  4  5  8 10 11 17 18
  4  6  8 12 15 16 18
  4  6  9 10 14 15 17
  4  7  8  9 13 14 16
  5  6  7 12 16 17 18
  5  6 10 13 14 16 19
  7  9 11 12 17 18 19