12 ≤ C(30,16,3) ≤ 13
Method of Construction: simple construction: multiple of smaller covering
Lower Bound: Schonheim
1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23
1 2 4 6 10 11 12 13 16 17 19 21 25 26 27 28
1 2 9 11 12 13 14 15 16 17 24 26 27 28 29 30
1 3 4 6 8 9 12 13 16 18 19 21 23 24 27 28
1 3 5 7 8 11 12 13 16 18 20 22 23 26 27 28
1 3 5 7 9 10 14 15 16 18 20 22 24 25 29 30
1 4 6 8 10 11 14 15 16 19 21 23 25 26 29 30
2 3 4 6 9 11 14 15 17 18 19 21 24 26 29 30
2 3 8 10 12 13 14 15 17 18 23 25 27 28 29 30
2 5 7 8 9 10 12 13 17 20 22 23 24 25 27 28
2 5 7 8 9 11 14 15 17 20 22 23 24 26 29 30
3 4 5 6 7 9 10 11 18 19 20 21 22 24 25 26
4 5 6 7 12 13 14 15 19 20 21 22 27 28 29 30