35 ≤ C(16,6,3) ≤ 38
Method of Construction: covering from gerald hoehn
Lower Bound: Schonheim
1 2 3 4 7 8
1 2 5 6 10 14
1 2 9 12 14 16
1 2 10 11 13 15
1 3 5 8 15 16
1 3 6 7 13 14
1 3 9 10 11 12
1 4 5 7 11 12
1 4 6 8 9 10
1 4 7 9 14 15
1 4 7 10 13 16
1 4 8 11 14 15
1 5 8 9 12 13
1 6 11 12 15 16
2 3 5 7 9 10
2 3 6 8 11 12
2 3 7 11 14 15
2 3 8 10 13 16
2 4 5 8 13 14
2 4 5 9 11 16
2 4 6 7 15 16
2 4 8 10 12 16
2 5 7 12 13 15
2 6 8 9 13 15
3 4 5 6 10 15
3 4 9 12 13 15
3 4 10 11 14 16
3 5 7 12 14 16
3 5 8 10 11 13
3 6 8 9 14 16
4 6 7 9 12 14
4 6 11 12 13 14
5 6 7 8 10 11
5 6 9 11 14 15
5 6 10 12 13 16
7 8 9 11 13 16
7 8 10 12 14 15
9 10 13 14 15 16