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