C(10,5,3) = 17

Method of Construction: random greedy covering

Lower Bound: Schonheim

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