9 ≤ C(24,14,3) ≤ 11

Method of Construction: simple construction: multiple of smaller covering

Lower Bound: Schonheim

  1  2  3  4  5  6  7 13 14 15 16 17 18 19
  1  2  8  9 10 11 12 13 14 20 21 22 23 24
  3  4  5  6  8  9 10 15 16 17 18 20 21 22
  3  4  5  7  8 11 12 15 16 17 19 20 23 24
  1  3  6  7  9 10 11 13 15 18 19 21 22 23
  2  4  5  6  9 11 12 14 16 17 18 21 23 24
  2  3  6  7  8 10 12 14 15 18 19 20 22 24
  1  4  5  7  9 10 12 13 16 17 19 21 22 24
  1  2  4  5  8 10 11 13 14 16 17 20 22 23
  1  2  3  7  8  9 11 13 14 15 19 20 21 23
  1  3  6  8  9 11 12 13 15 18 20 21 23 24