C(32,4,2) = 88
Method of Construction: covering pairs by quads: mills, jcta 15:138-166, 1973.
Lower Bound: Schonheim
2 8 9 32
3 8 9 32
1 4 5 32
6 7 10 32
11 12 13 32
14 15 16 32
17 18 19 32
20 21 22 32
23 24 25 32
26 27 28 32
29 30 31 32
2 3 10 11
4 5 12 13
6 7 14 15
16 17 18 19
20 21 22 23
24 25 26 27
28 29 30 31
2 3 4 7
2 3 5 6
1 2 17 21
1 3 16 20
1 4 6 9
1 5 7 8
1 10 24 28
1 11 25 29
1 12 15 27
1 13 14 26
1 18 22 31
1 19 23 30
2 12 16 24
3 13 17 25
2 13 22 28
3 12 23 29
2 14 18 25
3 15 19 24
2 15 20 30
3 14 21 31
2 19 26 29
3 18 27 28
2 23 27 31
3 22 26 30
4 8 10 31
5 9 11 30
4 11 17 27
5 10 16 26
4 14 16 23
5 15 17 22
4 15 18 29
5 14 19 28
4 19 22 25
5 18 23 24
4 21 24 30
5 20 25 31
4 20 26 28
5 21 27 29
6 8 22 24
7 9 23 25
6 10 19 27
7 11 18 26
6 11 23 28
7 10 22 29
6 13 18 21
7 12 19 20
6 12 26 31
7 13 27 30
6 17 20 29
7 16 21 28
6 16 25 30
7 17 24 31
8 11 19 21
9 10 18 20
8 13 16 29
9 12 17 28
8 12 18 30
9 13 19 31
8 14 20 27
9 15 21 26
8 15 25 28
9 14 24 29
8 17 23 26
9 16 22 27
10 13 15 23
11 12 14 22
10 12 21 25
11 13 20 24
10 14 17 30
11 15 16 31