C(30,5,2) = 48
Method of Construction: simple construction: induced on c(31,6,3) covering
Lower Bound: Schonheim
15 16 18 22 30
14 17 21 29 30
13 16 20 28 29
12 19 27 28 30
11 18 26 27 29
10 17 25 26 28
10 11 15 20 23
9 16 24 25 27
9 10 14 19 22
8 23 24 26 30
8 9 13 18 21
7 22 23 25 29
7 9 15 21 26
7 8 12 17 20
6 21 22 24 28
6 13 15 17 27
6 8 14 20 25
6 7 11 16 19
5 20 21 23 27
5 12 14 16 26
5 7 13 19 24
5 6 10 18 30
4 19 20 22 26
4 14 15 24 27
4 11 13 25 30
4 6 12 18 23
4 5 9 17 29
3 18 19 21 25
3 13 14 23 26
3 10 12 24 29
3 6 9 12 15
3 5 11 17 22
3 4 8 16 28
2 17 18 20 24
2 12 13 22 25
2 9 11 23 28
2 8 15 19 29
2 5 8 11 14
2 4 10 16 21
2 3 7 27 30
1 16 17 19 23
1 11 12 21 24
1 8 10 22 27
1 7 14 18 28
1 5 15 25 28
1 4 7 10 13
1 3 9 20 30
1 2 6 26 29