C(29,8,2) = 18
Method of Construction: lex covering
Lower Bound: Handbook of Combinatorial Designs section on coverings
1 2 3 4 5 6 7 8
1 9 10 11 12 13 14 15
1 16 17 18 19 20 21 22
1 23 24 25 26 27 28 29
2 3 9 10 16 17 23 24
2 3 11 12 18 19 25 26
2 3 13 14 20 21 27 28
4 5 9 10 18 19 27 28
4 5 11 12 20 21 23 24
4 5 13 14 16 17 25 26
6 7 9 10 20 21 25 26
6 7 11 12 16 17 27 28
6 7 13 14 18 19 23 24
2 3 4 5 6 15 22 29
8 9 10 11 12 13 22 29
8 15 16 17 18 19 20 29
8 15 22 23 24 25 26 27
7 8 14 15 21 22 28 29