Constructions for C4[ 288, 5 ] = {4,4}_12,12
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On this page are all constructions for C4[ 288, 5 ]. See Glossary for some
detail.
{4, 4}_ 12, 12 = PS( 24, 24; 1) = PS( 24, 24; 11)
= MC3( 12, 24, 1, 11, 11, 12, 1) = UG(ATD[288, 78]) = UG(ATD[288, 79])
= UG(ATD[288, 80]) = UG(Rmap(576, 4) { 4, 4| 24}_ 24) = MG(Rmap(288, 3) {
4, 4| 12}_ 24)
= DG(Rmap(288, 3) { 4, 4| 12}_ 24) = DG(Rmap(288, 41) { 4, 24| 12}_ 4) =
MG(Rmap(288,374) { 24, 24| 12}_ 24)
= DG(Rmap(288,374) { 24, 24| 12}_ 24) = MG(Rmap(288,375) { 24, 24| 2}_ 24) =
DG(Rmap(288,375) { 24, 24| 2}_ 24)
= MG(Rmap(288,378) { 24, 24| 12}_ 24) = DG(Rmap(288,378) { 24, 24| 12}_ 24) =
PL({4, 4}_ 12, 0[ 12^ 24])
= BGCG({4, 4}_ 12, 0; K1;{5, 8}) = AT[288, 24]
Cyclic coverings
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | 0 | - | - | - | 0 | 0 | - | - | 0 | - | - |
| 2 | 0 | - | 0 | - | - | - | - | 0 | - | - | 0 | - |
| 3 | - | 0 | - | 0 | - | - | - | - | 0 | - | - | 0 |
| 4 | - | - | 0 | - | 0 | - | 1 | - | - | 5 | - | - |
| 5 | - | - | - | 0 | - | 6 | - | 1 | - | - | 5 | - |
| 6 | 0 | - | - | - | 18 | - | - | - | 19 | - | - | 23 |
| 7 | 0 | - | - | 23 | - | - | - | 0 | - | - | - | 23 |
| 8 | - | 0 | - | - | 23 | - | 0 | - | 0 | - | - | - |
| 9 | - | - | 0 | - | - | 5 | - | 0 | - | 5 | - | - |
| 10 | 0 | - | - | 19 | - | - | - | - | 19 | - | 0 | - |
| 11 | - | 0 | - | - | 19 | - | - | - | - | 0 | - | 0 |
| 12 | - | - | 0 | - | - | 1 | 1 | - | - | - | 0 | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | 0 | 0 | - | - | - | - | - | - | - | 0 | 0 |
| 2 | 0 | - | 1 | 0 | - | - | - | - | - | - | - | 1 |
| 3 | 0 | 23 | - | 0 | 23 | - | - | - | - | - | - | - |
| 4 | - | 0 | 0 | - | 0 | 23 | - | - | - | - | - | - |
| 5 | - | - | 1 | 0 | - | 0 | 23 | - | - | - | - | - |
| 6 | - | - | - | 1 | 0 | - | 0 | 23 | - | - | - | - |
| 7 | - | - | - | - | 1 | 0 | - | 0 | 23 | - | - | - |
| 8 | - | - | - | - | - | 1 | 0 | - | 0 | 23 | - | - |
| 9 | - | - | - | - | - | - | 1 | 0 | - | 0 | 9 | - |
| 10 | - | - | - | - | - | - | - | 1 | 0 | - | 10 | 10 |
| 11 | 0 | - | - | - | - | - | - | - | 15 | 14 | - | 1 |
| 12 | 0 | 23 | - | - | - | - | - | - | - | 14 | 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 | - | 0 | - | - | 0 | - | - | - | 0 | - |
| 4 | - | - | 0 | - | 1 | - | - | 0 | - | - | - | 1 |
| 5 | 0 | - | - | 23 | - | 0 | - | - | 9 | - | - | - |
| 6 | - | 0 | - | - | 0 | - | 0 | - | - | 9 | - | - |
| 7 | - | - | 0 | - | - | 0 | - | 0 | - | - | 9 | - |
| 8 | - | - | - | 0 | - | - | 0 | - | 10 | - | - | 10 |
| 9 | 0 | - | - | - | 15 | - | - | 14 | - | 0 | - | - |
| 10 | - | 0 | - | - | - | 15 | - | - | 0 | - | 0 | - |
| 11 | - | - | 0 | - | - | - | 15 | - | - | 0 | - | 1 |
| 12 | 0 | - | - | 23 | - | - | - | 14 | - | - | 23 | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 23 | 0 | - | - | - | - | - | - | - | - | - | 0 |
| 2 | 0 | - | 0 | - | - | - | - | - | - | - | - | 1 23 |
| 3 | - | 0 | - | 0 | - | - | - | - | - | - | 0 2 | - |
| 4 | - | - | 0 | - | 0 | - | - | - | - | 0 2 | - | - |
| 5 | - | - | - | 0 | - | 0 | - | - | 0 2 | - | - | - |
| 6 | - | - | - | - | 0 | - | 0 | 0 2 | - | - | - | - |
| 7 | - | - | - | - | - | 0 | 11 13 | 13 | - | - | - | - |
| 8 | - | - | - | - | - | 0 22 | 11 | - | 0 | - | - | - |
| 9 | - | - | - | - | 0 22 | - | - | 0 | - | 0 | - | - |
| 10 | - | - | - | 0 22 | - | - | - | - | 0 | - | 0 | - |
| 11 | - | - | 0 22 | - | - | - | - | - | - | 0 | - | 23 |
| 12 | 0 | 1 23 | - | - | - | - | - | - | - | - | 1 | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 23 | 0 | - | - | - | - | - | - | - | - | - | 0 |
| 2 | 0 | 1 23 | 0 | - | - | - | - | - | - | - | - | - |
| 3 | - | 0 | 1 23 | 0 | - | - | - | - | - | - | - | - |
| 4 | - | - | 0 | 1 23 | 0 | - | - | - | - | - | - | - |
| 5 | - | - | - | 0 | 1 23 | 0 | - | - | - | - | - | - |
| 6 | - | - | - | - | 0 | 1 23 | 0 | - | - | - | - | - |
| 7 | - | - | - | - | - | 0 | 1 23 | 0 | - | - | - | - |
| 8 | - | - | - | - | - | - | 0 | 1 23 | 0 | - | - | - |
| 9 | - | - | - | - | - | - | - | 0 | 1 23 | 0 | - | - |
| 10 | - | - | - | - | - | - | - | - | 0 | 1 23 | 0 | - |
| 11 | - | - | - | - | - | - | - | - | - | 0 | 1 23 | 12 |
| 12 | 0 | - | - | - | - | - | - | - | - | - | 12 | 1 23 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 23 | 0 2 | - | - | - | - | - | - | - | - | - | - |
| 2 | 0 22 | - | 0 2 | - | - | - | - | - | - | - | - | - |
| 3 | - | 0 22 | - | 0 2 | - | - | - | - | - | - | - | - |
| 4 | - | - | 0 22 | - | 0 2 | - | - | - | - | - | - | - |
| 5 | - | - | - | 0 22 | - | 0 2 | - | - | - | - | - | - |
| 6 | - | - | - | - | 0 22 | - | 0 2 | - | - | - | - | - |
| 7 | - | - | - | - | - | 0 22 | - | 0 2 | - | - | - | - |
| 8 | - | - | - | - | - | - | 0 22 | - | 0 2 | - | - | - |
| 9 | - | - | - | - | - | - | - | 0 22 | - | 0 2 | - | - |
| 10 | - | - | - | - | - | - | - | - | 0 22 | - | 0 2 | - |
| 11 | - | - | - | - | - | - | - | - | - | 0 22 | - | 0 2 |
| 12 | - | - | - | - | - | - | - | - | - | - | 0 22 | 1 23 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | 0 | - | - | - | - | 0 14 | - | - | - | - | 0 |
| 2 | 0 | - | 0 | - | - | - | - | 0 14 | - | - | - | - |
| 3 | - | 0 | - | 0 | - | - | - | - | 0 14 | - | - | - |
| 4 | - | - | 0 | - | 0 | - | - | - | - | 0 14 | - | - |
| 5 | - | - | - | 0 | - | 0 | - | - | - | - | 0 14 | - |
| 6 | - | - | - | - | 0 | - | 1 | - | - | - | - | 1 11 |
| 7 | 0 10 | - | - | - | - | 23 | - | 0 | - | - | - | - |
| 8 | - | 0 10 | - | - | - | - | 0 | - | 0 | - | - | - |
| 9 | - | - | 0 10 | - | - | - | - | 0 | - | 0 | - | - |
| 10 | - | - | - | 0 10 | - | - | - | - | 0 | - | 0 | - |
| 11 | - | - | - | - | 0 10 | - | - | - | - | 0 | - | 11 |
| 12 | 0 | - | - | - | - | 13 23 | - | - | - | - | 13 | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | 0 | - | 0 | 0 | - | - | - | 0 | - | - | - |
| 2 | 0 | - | 0 | - | - | 0 | - | - | - | 0 | - | - |
| 3 | - | 0 | - | 20 | - | - | 0 | - | - | - | 0 | - |
| 4 | 0 | - | 4 | - | - | - | - | 4 | - | - | - | 4 |
| 5 | 0 | - | - | - | - | 0 | - | 4 | 9 | - | - | - |
| 6 | - | 0 | - | - | 0 | - | 0 | - | - | 9 | - | - |
| 7 | - | - | 0 | - | - | 0 | - | 0 | - | - | 9 | - |
| 8 | - | - | - | 20 | 20 | - | 0 | - | - | - | - | 9 |
| 9 | 0 | - | - | - | 15 | - | - | - | - | 0 | - | 4 |
| 10 | - | 0 | - | - | - | 15 | - | - | 0 | - | 0 | - |
| 11 | - | - | 0 | - | - | - | 15 | - | - | 0 | - | 0 |
| 12 | - | - | - | 20 | - | - | - | 15 | 20 | - | 0 | - |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | - | 0 1 23 | - | - | - | - | - | - | - | - | - | 0 |
| 2 | 0 1 23 | - | 0 | - | - | - | - | - | - | - | - | - |
| 3 | - | 0 | - | 0 | - | - | - | - | - | - | - | 1 23 |
| 4 | - | - | 0 | - | 0 | - | - | - | - | - | 0 22 | - |
| 5 | - | - | - | 0 | - | 0 | - | - | - | 0 22 | - | - |
| 6 | - | - | - | - | 0 | - | 0 | - | 0 22 | - | - | - |
| 7 | - | - | - | - | - | 0 | - | 0 11 13 | - | - | - | - |
| 8 | - | - | - | - | - | - | 0 11 13 | - | 11 | - | - | - |
| 9 | - | - | - | - | - | 0 2 | - | 13 | - | 0 | - | - |
| 10 | - | - | - | - | 0 2 | - | - | - | 0 | - | 0 | - |
| 11 | - | - | - | 0 2 | - | - | - | - | - | 0 | - | 1 |
| 12 | 0 | - | 1 23 | - | - | - | - | - | - | - | 23 | - |