24 ≤ C(14,6,3) ≤ 25

Method of Construction: simple construction: induced on c(15,7,4) covering

Lower Bound: Schonheim

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