lower bound = 30

C(25,5,2) = 30

Method of Construction: affine geometry covering

Lower Bound: Schonheim

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