lower bound = 96

C(24,3,2) = 96

Method of Construction: simple construction: induced on c(25,4,3) covering

Lower Bound: Schonheim

  2  3  5
  2  4  7
  1  2  4
  2  6  8
  2  9 11
  2 10 20
  2 12 22
  2 13 17
  2 14 23
  2 15 21
  2 16 19
  2 18 24
  3  4 20
  1  3  6
  3  7 14
  3  8 15
  3  9 13
  3 10 16
  3 11 23
  3 12 17
  3 18 19
  3 21 22
  1  3 24
  4  5 17
  4  6 14
  4  8 13
  4  9 15
  4 10 19
  4 11 12
  4 16 21
  4 18 22
  4 23 24
  5  6 16
  1  5  7
  5  8 22
  5  9 12
  5 10 23
  5 11 19
  5 12 24
  5 13 21
  5 14 15
  5 18 20
  6  7 20
  6  9 21
  6 10 18
  6 11 14
  6 12 23
  6 13 24
  6 15 17
  6 19 22
  7  8 16
  7  9 10
  7 11 24
  7 12 13
  7 15 22
  7 16 23
  7 17 19
  7 18 21
  8  9 23
  1  8 10
  8 11 17
  8 12 18
  8 14 24
  8 19 21
  8 20 22
  9 14 18
  9 16 20
  9 17 22
  1  9 19
  9 21 24
 10 11 22
 10 12 21
 10 13 14
 10 15 24
 10 17 20
 11 13 20
 11 15 16
 11 17 18
  1 11 21
 12 14 19
 12 15 20
  1 12 16
 13 15 19
 13 16 18
 13 18 23
  1 13 22
 14 16 22
 14 17 21
  1 14 20
  1 15 18
 15 19 23
 16 17 24
  1 17 23
 19 20 24
 20 21 23
 22 23 24