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