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On this page are all constructions for C4[ 288, 51 ]. See Glossary for some
detail.
PL(MC3( 6, 24, 1, 7, 17, 0, 1), [6^24, 8^18]) = PL(ATD[ 9, 1]#DCyc[
8]) = PL(ATD[ 9, 1]#ATD[ 24, 1])
= PL(ATD[ 18, 1]#DCyc[ 8]) = PL(ATD[ 18, 1]#ATD[ 24, 1]) = PL(ATD[ 24,
1]#DCyc[ 3])
= PL(ATD[ 24, 1]#DCyc[ 6]) = PL(CSI(DW( 3, 3)[ 6^ 3], 8)) = PL(CSI(DW(
6, 3)[ 6^ 6], 8))
= BGCG(DW( 6, 3), C_ 8, {3, 3', 4'}) = PL(CSI(C_ 24(1, 7)[ 8^ 6], 3)) =
PL(CSI(C_ 24(1, 7)[ 8^ 6], 6))
= BGCG(C_ 24(1, 7), C_ 6, {3', 4'})
Cyclic coverings
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | - | - | - | - | - | 0 | 0 | 0 15 | - | - | - |
| 2 | - | - | - | - | - | - | 16 | 16 | 0 15 | - | - | - |
| 3 | - | - | - | - | - | - | 21 | 15 | - | 0 | 0 | - |
| 4 | - | - | - | - | - | - | 14 | 8 | - | 1 | 1 | - |
| 5 | - | - | - | - | - | - | - | - | - | 22 | 16 | 0 15 |
| 6 | - | - | - | - | - | - | - | - | - | 15 | 9 | 1 16 |
| 7 | 0 | 8 | 3 | 10 | - | - | - | - | - | - | - | - |
| 8 | 0 | 8 | 9 | 16 | - | - | - | - | - | - | - | - |
| 9 | 0 9 | 0 9 | - | - | - | - | - | - | - | - | - | - |
| 10 | - | - | 0 | 23 | 2 | 9 | - | - | - | - | - | - |
| 11 | - | - | 0 | 23 | 8 | 15 | - | - | - | - | - | - |
| 12 | - | - | - | - | 0 9 | 8 23 | - | - | - | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | - | - | - | - | - | - | - | 0 | 0 | 0 | 0 |
| 2 | - | - | - | - | - | - | 0 | 0 | - | 0 | - | 0 |
| 3 | - | - | - | - | - | - | - | - | 0 1 | - | 0 7 | - |
| 4 | - | - | - | - | - | - | 6 23 | 0 23 | - | - | - | - |
| 5 | - | - | - | - | - | - | - | - | 1 | 17 | 7 | 23 |
| 6 | - | - | - | - | - | - | 14 | 8 | - | 0 | - | 6 |
| 7 | - | 0 | - | 1 18 | - | 10 | - | - | - | - | - | - |
| 8 | - | 0 | - | 0 1 | - | 16 | - | - | - | - | - | - |
| 9 | 0 | - | 0 23 | - | 23 | - | - | - | - | - | - | - |
| 10 | 0 | 0 | - | - | 7 | 0 | - | - | - | - | - | - |
| 11 | 0 | - | 0 17 | - | 17 | - | - | - | - | - | - | - |
| 12 | 0 | 0 | - | - | 1 | 18 | - | - | - | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | - | - | - | - | - | 0 | 0 | 0 | - | 0 | - |
| 2 | - | - | - | - | - | - | 8 | 8 | 0 | - | 0 | - |
| 3 | - | - | - | - | - | - | - | - | 14 | 0 | 8 | 0 |
| 4 | - | - | - | - | - | - | - | - | 22 | 0 | 16 | 0 |
| 5 | - | - | - | - | - | - | 1 | 19 | - | 14 | - | 8 |
| 6 | - | - | - | - | - | - | 1 | 19 | - | 22 | - | 16 |
| 7 | 0 | 16 | - | - | 23 | 23 | - | - | - | - | - | - |
| 8 | 0 | 16 | - | - | 5 | 5 | - | - | - | - | - | - |
| 9 | 0 | 0 | 10 | 2 | - | - | - | - | - | - | - | - |
| 10 | - | - | 0 | 0 | 10 | 2 | - | - | - | - | - | - |
| 11 | 0 | 0 | 16 | 8 | - | - | - | - | - | - | - | - |
| 12 | - | - | 0 | 0 | 16 | 8 | - | - | - | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | - | - | - | - | - | 0 | 0 | 0 | - | - | 0 |
| 2 | - | - | - | - | - | - | 0 1 | 0 7 | - | - | - | - |
| 3 | - | - | - | - | - | - | - | - | 16 | 0 | 0 | 22 |
| 4 | - | - | - | - | - | - | - | - | 16 23 | - | - | 22 23 |
| 5 | - | - | - | - | - | - | 23 | 5 | - | 16 | 22 | - |
| 6 | - | - | - | - | - | - | - | - | - | 16 23 | 22 23 | - |
| 7 | 0 | 0 23 | - | - | 1 | - | - | - | - | - | - | - |
| 8 | 0 | 0 17 | - | - | 19 | - | - | - | - | - | - | - |
| 9 | 0 | - | 8 | 1 8 | - | - | - | - | - | - | - | - |
| 10 | - | - | 0 | - | 8 | 1 8 | - | - | - | - | - | - |
| 11 | - | - | 0 | - | 2 | 1 2 | - | - | - | - | - | - |
| 12 | 0 | - | 2 | 1 2 | - | - | - | - | - | - | - | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | - | - | - | - | - | - | - | 0 | 0 | 0 | 0 |
| 2 | - | - | - | - | - | - | 0 | 0 | - | - | 0 | 0 |
| 3 | - | - | - | - | - | - | 1 | 7 | 0 | 0 | - | - |
| 4 | - | - | - | - | - | - | 0 | 0 | 7 | 1 | - | - |
| 5 | - | - | - | - | - | - | 1 | 7 | - | - | 23 | 17 |
| 6 | - | - | - | - | - | - | - | - | 7 | 1 | 23 | 17 |
| 7 | - | 0 | 23 | 0 | 23 | - | - | - | - | - | - | - |
| 8 | - | 0 | 17 | 0 | 17 | - | - | - | - | - | - | - |
| 9 | 0 | - | 0 | 17 | - | 17 | - | - | - | - | - | - |
| 10 | 0 | - | 0 | 23 | - | 23 | - | - | - | - | - | - |
| 11 | 0 | 0 | - | - | 1 | 1 | - | - | - | - | - | - |
| 12 | 0 | 0 | - | - | 7 | 7 | - | - | - | - | - | - |