lower bound = 100

C(25,3,2) = 100

Method of Construction: simple construction: induced on c(26,4,3) covering

Lower Bound: Schonheim

  2  3 15
  2  4  5
  2  6  7
  2  8  9
  2 10 11
  2 12 13
  1  2 14
  2 16 17
  2 18 19
  2 20 21
  2 22 23
  2 24 25
  1  3  4
  3  5 16
  3  6 24
  3  7 23
  3  8 22
  3  9 11
  3 10 20
  3 12 18
  3 13 17
  3 14 25
  3 19 21
  4  6  9
  4  7 17
  4  8 11
  4 10 13
  4 12 15
  4 14 24
  4 16 19
  4 18 21
  4 20 23
  4 22 25
  1  5  6
  5  7 11
  5  8 24
  5  9 18
  5 10 22
  5 12 20
  5 13 19
  5 14 23
  5 15 17
  5 21 25
  6  8 13
  6 10 15
  6 11 19
  6 12 17
  6 14 22
  6 16 21
  6 18 23
  6 20 25
  1  7  8
  7  9 25
  7 10 24
  7 12 22
  7 13 20
  7 14 21
  7 15 19
  7 16 18
  8 10 17
  8 12 19
  8 14 20
  8 15 21
  8 16 23
  8 18 25
  1  9 10
  9 12 24
  9 13 21
  9 14 19
  9 15 23
  9 16 20
  9 17 22
 10 12 21
 10 14 18
 10 16 25
 10 19 23
  1 11 12
 11 13 23
 11 14 17
 11 15 25
 11 16 22
 11 18 20
 11 21 24
 12 14 16
 12 23 25
 13 14 15
 13 16 24
 13 18 22
  1 13 25
  1 15 16
 15 18 24
 15 20 22
  1 17 18
 17 19 25
 17 20 24
 17 21 23
  1 19 20
 19 22 24
  1 21 22
  1 23 24