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On this page are all constructions for C4[ 126, 4 ]. See Glossary for some detail.
PS(18,7;2) = PS(18,7;3) = PS(9,14;3) = PS(9,14;5) = PS(18,14;3) = PS(18,14;5) =
B(PS(9,7;2))
Cyclic coverings
| 1 | 2 | 3 | |
|---|---|---|---|
| 1 | - | 6 36 | 11 17 |
| 2 | 6 36 | - | 12 30 |
| 3 | 25 31 | 12 30 | - |
| 1 | 2 | 3 | |
|---|---|---|---|
| 1 | - | 18 24 | 19 37 |
| 2 | 18 24 | - | 6 36 |
| 3 | 5 23 | 6 36 | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 1 | - | 17 | 17 | - | 1 |
| 2 | 17 | - | - | - | 1 | - | 1 17 |
| 3 | - | - | 1 17 | 17 | 1 | - | - |
| 4 | 1 | - | 1 | - | - | 17 | 17 |
| 5 | 1 | 17 | 17 | - | - | 1 | - |
| 6 | - | - | - | 1 | 17 | 1 17 | - |
| 7 | 17 | 1 17 | - | 1 | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 1 | - | 17 | 17 | - | 1 |
| 2 | 17 | 1 17 | - | 1 | - | - | - |
| 3 | - | - | - | 1 | 17 | 1 17 | - |
| 4 | 1 | 17 | 17 | - | - | 1 | - |
| 5 | 1 | - | 1 | - | - | 17 | 17 |
| 6 | - | - | 1 17 | 17 | 1 | - | - |
| 7 | 17 | - | - | - | 1 | - | 1 17 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 11 | - | 7 | 7 | - | 11 |
| 2 | 7 | - | - | - | 11 | - | 7 11 |
| 3 | - | - | 7 11 | 7 | 11 | - | - |
| 4 | 11 | - | 11 | - | - | 7 | 7 |
| 5 | 11 | 7 | 7 | - | - | 11 | - |
| 6 | - | - | - | 11 | 7 | 7 11 | - |
| 7 | 7 | 7 11 | - | 11 | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 5 | - | 13 | 13 | - | 5 |
| 2 | 13 | 5 13 | - | 5 | - | - | - |
| 3 | - | - | - | 5 | 13 | 5 13 | - |
| 4 | 5 | 13 | 13 | - | - | 5 | - |
| 5 | 5 | - | 5 | - | - | 13 | 13 |
| 6 | - | - | 5 13 | 13 | 5 | - | - |
| 7 | 13 | - | - | - | 5 | - | 5 13 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 13 | - | 5 | 5 | - | 13 |
| 2 | 5 | - | - | - | 13 | - | 5 13 |
| 3 | - | - | 5 13 | 5 | 13 | - | - |
| 4 | 13 | - | 13 | - | - | 5 | 5 |
| 5 | 13 | 5 | 5 | - | - | 13 | - |
| 6 | - | - | - | 13 | 5 | 5 13 | - |
| 7 | 5 | 5 13 | - | 13 | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 17 | - | 1 | 1 | - | 17 |
| 2 | 1 | - | - | - | 17 | - | 1 17 |
| 3 | - | - | 1 17 | 1 | 17 | - | - |
| 4 | 17 | - | 17 | - | - | 1 | 1 |
| 5 | 17 | 1 | 1 | - | - | 17 | - |
| 6 | - | - | - | 17 | 1 | 1 17 | - |
| 7 | 1 | 1 17 | - | 17 | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 13 | - | 5 | 5 | - | 13 |
| 2 | 5 | 5 13 | - | 13 | - | - | - |
| 3 | - | - | - | 13 | 5 | 5 13 | - |
| 4 | 13 | 5 | 5 | - | - | 13 | - |
| 5 | 13 | - | 13 | - | - | 5 | 5 |
| 6 | - | - | 5 13 | 5 | 13 | - | - |
| 7 | 5 | - | - | - | 13 | - | 5 13 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 7 | - | 11 | 11 | - | 7 |
| 2 | 11 | 7 11 | - | 7 | - | - | - |
| 3 | - | - | - | 7 | 11 | 7 11 | - |
| 4 | 7 | 11 | 11 | - | - | 7 | - |
| 5 | 7 | - | 7 | - | - | 11 | 11 |
| 6 | - | - | 7 11 | 11 | 7 | - | - |
| 7 | 11 | - | - | - | 7 | - | 7 11 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 17 | - | 1 | 1 | - | 17 |
| 2 | 1 | 1 17 | - | 17 | - | - | - |
| 3 | - | - | - | 17 | 1 | 1 17 | - |
| 4 | 17 | 1 | 1 | - | - | 17 | - |
| 5 | 17 | - | 17 | - | - | 1 | 1 |
| 6 | - | - | 1 17 | 1 | 17 | - | - |
| 7 | 1 | - | - | - | 17 | - | 1 17 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 11 | - | 7 | 7 | - | 11 |
| 2 | 7 | 7 11 | - | 11 | - | - | - |
| 3 | - | - | - | 11 | 7 | 7 11 | - |
| 4 | 11 | 7 | 7 | - | - | 11 | - |
| 5 | 11 | - | 11 | - | - | 7 | 7 |
| 6 | - | - | 7 11 | 7 | 11 | - | - |
| 7 | 7 | - | - | - | 11 | - | 7 11 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 5 | - | 13 | 13 | - | 5 |
| 2 | 13 | - | - | - | 5 | - | 5 13 |
| 3 | - | - | 5 13 | 13 | 5 | - | - |
| 4 | 5 | - | 5 | - | - | 13 | 13 |
| 5 | 5 | 13 | 13 | - | - | 5 | - |
| 6 | - | - | - | 5 | 13 | 5 13 | - |
| 7 | 13 | 5 13 | - | 5 | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
|---|---|---|---|---|---|---|---|
| 1 | - | 7 | - | 11 | 11 | - | 7 |
| 2 | 11 | - | - | - | 7 | - | 7 11 |
| 3 | - | - | 7 11 | 11 | 7 | - | - |
| 4 | 7 | - | 7 | - | - | 11 | 11 |
| 5 | 7 | 11 | 11 | - | - | 7 | - |
| 6 | - | - | - | 7 | 11 | 7 11 | - |
| 7 | 11 | 7 11 | - | 7 | - | - | - |