9 ≤ C(19,11,3) ≤ 11

Method of Construction: dynamic programming covering

Lower Bound: Schonheim

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