C(32,15,2) = 7

Method of Construction: simple construction: added element to c(v-1,k-1,t) covering

Lower Bound: Schonheim

  1  2  3  7  8  9 14 15 19 20 21 26 27 30 32
  1  2  4  7 10 11 14 16 18 19 22 23 28 29 32
  1  5  6  7 12 13 14 17 18 19 24 25 30 31 32
  2  4  5  8 10 12 16 17 20 22 24 26 28 30 32
  2  4  6  8 11 13 16 18 20 23 25 26 29 31 32
  3  6  9 10 13 15 16 18 21 22 25 27 28 31 32
  3  4  5  9 11 12 15 17 21 23 24 27 29 30 32