C(26,3,2) = 113

Method of Construction: simple construction: combined (25,3,2) and (25,2,1)-coverings

Lower Bound: Schonheim

  2  7  8
 16 24 25
  2  4 10
 11 23 25
  3  6 10
 14 22 25
  3  5 11
  4 21 25
  2  6 11
  7 20 25
  1  8 11
  8 19 25
  1  4 12
  3 18 25
  5  7 12
 12 17 25
  6  8 12
 13 15 25
  2  9 12
  5 10 25
  1  3 13
  6  9 25
  1  2 25
  8  9 13
 14 23 24
  2  3 14
  7 22 24
  6  7 14
  6 21 24
  5  9 14
 12 20 24
  4 11 14
  4 19 24
  4  5 15
 15 18 24
  3  7 15
  2 17 24
 10 11 15
 11 13 24
 12 14 15
  8 10 24
  4  8 16
  3  9 24
  1  5 24
  9 11 16
 21 22 23
  7 13 16
  2 20 23
  1 14 16
  5 19 23
  1 10 17
 17 18 23
  7 11 17
 12 16 23
  1 15 23
  4 13 17
  6 13 23
  6 15 17
  9 10 23
  5 16 17
  3  8 23
  1  6 18
  4  7 23
  4  9 18
 11 20 22
  7 10 18
 18 19 22
 11 12 18
  3 17 22
  5 13 18
 15 16 22
  8 14 18
  2 13 22
  2 16 18
 10 12 22
  1  9 22
  7  9 19
  5  8 22
  3 12 19
  4  6 22
 10 13 19
 18 20 21
  2 15 19
 11 19 21
  6 16 19
  9 17 21
 14 17 19
  3 16 21
  3  4 20
  8 15 21
  5  6 20
 10 14 21
 13 14 20
 12 13 21
  1  7 21
  9 15 20
  2  5 21
  1 19 20
 10 16 20
  8 17 20
  1  2 26
  3  4 26
  5  6 26
  7  8 26
  9 10 26
 11 12 26
 13 14 26
 15 16 26
 17 18 26
 19 20 26
 21 22 26
 23 24 26
 14 25 26