35 ≤ C(16,6,3) ≤ 38

Method of Construction: covering from gerald hoehn

Lower Bound: Schonheim

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