21 ≤ C(23,10,3) ≤ 24

Method of Construction: simple construction: deleted element from c(v+1,k,t) covering

Lower Bound: Schonheim

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