lower bound = 24

C(12,3,2) = 24

Method of Construction: random greedy covering

Lower Bound: Schonheim

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