C(16,9,3) = 11

Method of Construction: covering provided by john cock (personal communication)

Lower Bound: Schonheim

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