C(25,3,2) <=100

Method of construction: simple construction: induced on c(26,4,3) covering

 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