lower bound = 136

C(29,3,2) = 136

Method of Construction: simple construction: induced on c(30,4,3) covering

Lower Bound: Schonheim

  2  3  5
  2  4  6
  2  7  8
  2  9 10
  2 11 12
  2 13 14
  2 15 16
  2 17 18
  2 19 20
  2 21 22
  2 23 24
  2 25 26
  2 27 28
  1  2 29
  3  4  5
  3  5  6
  3  7  9
  3  8 11
  3 10 12
  3 13 15
  3 14 17
  3 16 18
  3 19 21
  3 20 23
  3 22 24
  3 25 27
  3 26 29
  1  3 28
  4  7 10
  4  8 12
  4  9 11
  4 13 16
  4 14 18
  4 15 17
  4 19 22
  4 20 24
  4 21 23
  4 25 28
  1  4 26
  4 27 29
  5  7 11
  5  8 10
  5  9 12
  5 13 17
  5 14 16
  5 15 18
  5 19 23
  5 20 22
  5 21 24
  5 25 29
  5 26 28
  1  5 27
  6  7 12
  6  8  9
  6 10 11
  6 13 18
  6 14 15
  6 16 17
  6 19 24
  6 20 21
  6 22 23
  1  6 25
  6 26 27
  6 28 29
  7 13 21
  7 14 29
  7 15 25
  7 16 22
  7 17 28
  7 18 19
  7 20 27
  7 23 26
  1  7 24
  8 13 24
  8 14 22
  8 15 28
  1  8 16
  8 17 26
  8 18 20
  8 19 27
  8 21 29
  8 23 25
  9 13 20
  9 14 26
  9 15 22
  9 16 29
  9 17 24
  9 18 28
  9 19 25
  1  9 21
  9 23 27
 10 13 26
 10 14 27
 10 15 21
 10 16 25
 10 17 19
 10 18 23
 10 20 29
  1 10 22
 10 24 28
 11 13 27
 11 14 24
 11 15 23
 11 16 19
  1 11 17
 11 18 29
 11 20 28
 11 21 26
 11 22 25
 12 13 25
 12 14 20
 12 15 27
 12 16 23
 12 17 21
  1 12 18
 12 19 26
 12 22 28
 12 24 29
  1 13 19
 13 22 29
 13 23 28
 14 19 28
 14 21 25
  1 14 23
 15 19 29
  1 15 20
 15 24 26
 16 20 26
 16 21 28
 16 24 27
 17 20 25
 17 22 27
 17 23 29
 18 21 27
 18 22 26
 18 24 25