29 ≤ C(31,12,3) ≤ 32
Created by: LJCR
Method of Construction: Simple construction from (32,12,3)
Lower Bound: Schonheim
1 2 3 4 5 7 9 11 13 14 29 30
1 2 3 4 5 7 10 12 15 16 19 31
1 2 3 4 6 8 9 11 15 16 17 31
1 2 3 4 6 8 10 12 13 14 29 30
1 2 12 13 16 17 18 19 20 25 26 29
1 2 13 15 21 22 23 24 27 28 29 31
1 2 14 15 17 18 19 20 25 26 30 31
1 2 14 16 21 22 23 24 26 27 28 30
1 3 9 10 11 12 17 18 23 24 26 27
1 3 9 10 11 12 19 20 21 22 25 28
1 4 5 6 7 8 17 18 21 22 26 28
1 4 5 6 7 8 19 20 23 24 25 27
2 3 5 6 7 8 17 18 21 22 25 27
2 3 5 6 7 8 19 20 23 24 26 28
2 4 9 10 11 12 17 18 23 24 25 28
2 4 9 10 11 12 19 20 21 22 26 27
3 4 9 14 15 17 18 19 20 27 28 29
3 4 13 14 15 21 22 23 24 25 26 30
3 4 13 16 17 18 19 20 27 28 30 31
3 4 14 16 21 22 23 24 25 26 29 31
3 7 8 11 12 17 19 22 24 29 30 31
4 5 6 9 10 18 20 22 24 29 30 31
5 6 9 10 16 17 19 21 23 29 30 31
5 6 11 12 13 14 15 16 17 20 21 24
5 6 11 12 13 14 15 16 18 19 22 23
5 7 8 11 12 18 20 21 23 29 30 31
5 8 9 12 15 16 25 26 27 28 29 30
5 8 10 11 13 14 22 25 26 27 28 31
6 7 9 10 12 13 14 25 26 27 28 31
6 7 10 11 15 16 25 26 27 28 29 30
7 8 9 10 13 14 15 16 17 20 22 23
7 8 9 10 13 14 15 16 18 19 21 24