C(23,4,2) = 46

Method of Construction: simple construction: induced on c(24,5,3) covering

Lower Bound: Schonheim

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