C(25,3,2) = 100
Method of Construction: simple construction: induced on c(26,4,3) covering
Lower Bound: Schonheim
2 3 15
2 4 5
2 6 7
2 8 9
2 10 11
2 12 13
1 2 14
2 16 17
2 18 19
2 20 21
2 22 23
2 24 25
1 3 4
3 5 16
3 6 24
3 7 23
3 8 22
3 9 11
3 10 20
3 12 18
3 13 17
3 14 25
3 19 21
4 6 9
4 7 17
4 8 11
4 10 13
4 12 15
4 14 24
4 16 19
4 18 21
4 20 23
4 22 25
1 5 6
5 7 11
5 8 24
5 9 18
5 10 22
5 12 20
5 13 19
5 14 23
5 15 17
5 21 25
6 8 13
6 10 15
6 11 19
6 12 17
6 14 22
6 16 21
6 18 23
6 20 25
1 7 8
7 9 25
7 10 24
7 12 22
7 13 20
7 14 21
7 15 19
7 16 18
8 10 17
8 12 19
8 14 20
8 15 21
8 16 23
8 18 25
1 9 10
9 12 24
9 13 21
9 14 19
9 15 23
9 16 20
9 17 22
10 12 21
10 14 18
10 16 25
10 19 23
1 11 12
11 13 23
11 14 17
11 15 25
11 16 22
11 18 20
11 21 24
12 14 16
12 23 25
13 14 15
13 16 24
13 18 22
1 13 25
1 15 16
15 18 24
15 20 22
1 17 18
17 19 25
17 20 24
17 21 23
1 19 20
19 22 24
1 21 22
1 23 24