lower bound = 31
31 ≤ CC(18,7,3) ≤ 33
Created by: Roy Gourgi
Method of Construction: Extraction/remainder
Lower Bound: Schonheim
1 2 3 4 7 15 17
1 2 3 5 6 9 13
1 2 3 8 10 11 12
1 2 3 13 14 16 18
1 3 4 8 11 15 16
1 4 5 7 10 15 18
1 4 5 9 10 16 17
1 4 5 9 12 15 18
1 4 6 10 13 14 15
1 5 7 8 9 11 14
1 5 8 12 14 16 17
1 6 7 12 13 16 17
1 6 8 11 13 17 18
2 4 5 7 13 16 18
2 4 6 7 9 11 12
2 4 7 8 9 10 14
2 5 8 10 13 15 17
2 5 9 11 12 13 14
2 6 8 9 10 16 18
2 6 8 9 14 15 17
2 11 12 15 16 17 18
3 4 5 6 8 9 18
3 4 6 10 11 13 16
3 4 9 10 12 14 16
3 5 6 7 10 12 17
3 5 6 11 14 15 16
3 7 8 13 14 16 17
3 7 9 11 14 17 18
3 9 10 12 13 15 18
4 5 10 11 14 17 18
4 6 8 9 12 13 17
6 7 8 12 14 15 18
7 9 10 11 13 15 16