C(23,3,2) = 85

Method of Construction: simple construction: induced on c(24,4,3) covering

Lower Bound: Schonheim

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