9 ≤ C(18,11,3) ≤ 10

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