The first 3 designs are obtained from the multiplicative subgroup, and the last two from the additive subgroup. The designs are all cyclic; ∞, ∞1 and ∞2 denote invariant treatments and PC(4) means partial cycle of length 4.
| v | k1 | k2 | Initial blocks |
|---|---|---|---|
| 8 | 6 | 3 | (1,2,4 | 3,6,5 ) (4,5,3 | 2 ∞,6)(5,2,6 | 3,1,∞) (6,4,1 | 2,3 ∞) mod 7 |
| 12 | 10 | 5 | (1,4,5,9,3 | 2,8,10,7,6 ) (6,9,2,10,3 |4,5,∞,7,8)(4,2,8,∞,9 | 3,10,1,5,7) (3,8,7,1,2 |9,∞,6,10,5)(1,7,4,9,6 | 8,10,∞,3,5) (6,5,3,2,4 | 7,∞,1,9,10) mod 11 |
| 14 | 6 | 3 | (1,3,9 |4,12,10 ) (2,6,5 | 8,11,7)(7,10,4 | 8,∞,6) (9,8,6 | 11,1,12) (10,11,12 | 2,7,∞) (8,2,∞ | 5,9,1)(1,7,8|3,∞,12) (7,9,11 | 4,1,∞) (10,5,2 |4,∞,3) (11,5,1 | 3,10,7) (2,3,7 | 4,8,9) (4,6,1 | 8,3,5) (9,10,2 | 6,7,1) (5,3,12 | 9,2,11) mod 13 |
| 9 | 8 | 4 | (∞2,0,1,3 | 2,6,4,5) (0,∞1,4,6 | 1,5,2,3)(∞2,∞1,5,2 | 3,4,6,1) (3,∞1,2,5 |∞2,6,4,0) (1,∞1,6,4 | 0,2,5,∞2) (6,∞1,1,0 | 4,3,∞2,5)(2,∞1,3,∞2 | 5,1,0,4) (5,∞1,∞2,3 | 2,0,1,6)(4,∞1,0,1 | 6,∞2,3,2) mod 7 |
| 10 | 9 | 3 | (4,∞2,∞1 | 7,3,6 | 1,2,5) ( 2,3,∞1 | ∞2,7,0 | 4,1,6)(3,5,∞1 | 0,6,4 | ∞2,7,1)(5,2,∞1 | 4,1,∞2 | 0,6,7)(∞2,0,4 | 1,7,6 | 5,2,3) PC(4)(0,4,∞1 | 1,2,7 | 6,5,3) PC(4) mod 8 |