C(19,3,2) = 57
Method of Construction: simple construction: induced on c(20,4,3) covering
Lower Bound: Schonheim
10 12 16
10 13 18
1 11 12
11 13 19
12 14 17
1 13 17
14 15 19
1 15 18
17 18 19
2 10 11
2 12 13
2 14 18
2 16 19
2 3 5
1 2 4
2 6 8
2 7 15
2 9 17
3 13 15
3 16 17
1 3 19
3 4 18
3 6 10
3 7 12
3 8 14
3 9 11
4 10 14
4 11 15
4 13 16
4 5 17
4 6 7
4 8 19
4 9 12
5 10 19
5 11 14
5 12 15
5 16 18
5 6 13
1 5 7
5 8 9
6 11 16
6 12 19
1 6 14
6 15 17
6 9 18
7 10 17
7 11 18
7 14 16
7 8 13
7 9 19
8 10 15
8 11 17
8 12 18
1 8 16
1 9 10
9 13 14
9 15 16