lower bound = 75

75 ≤ CC(25,7,3) ≤ 83

Created by: Roy Gourgi

Method of Construction: Extraction/remainder

Lower Bound: Schonheim

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