C(12,8,5) = 26
Method of Construction: constructed from a turan (n,7,4) system
Lower Bound: Schonheim
1 2 3 4 7 8 11 12
1 2 3 4 5 6 9 10
1 3 4 8 9 10 11 12
1 3 4 7 9 10 11 12
1 2 3 7 8 9 10 12
1 2 3 7 8 9 10 11
2 3 4 6 9 10 11 12
2 3 4 5 9 10 11 12
1 2 4 5 6 10 11 12
1 2 4 5 6 9 11 12
1 3 4 5 6 8 11 12
1 3 4 5 6 7 11 12
1 2 3 5 6 7 8 12
1 2 3 5 6 7 8 11
2 3 4 6 7 8 9 10
2 3 4 5 7 8 9 10
1 2 4 5 6 7 8 10
1 2 4 5 6 7 8 9
2 4 6 7 8 10 11 12
2 4 6 7 8 9 11 12
2 4 5 7 8 10 11 12
2 4 5 7 8 9 11 12
1 3 5 6 8 9 10 12
1 3 5 6 8 9 10 11
1 3 5 6 7 9 10 12
1 3 5 6 7 9 10 11