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On this page are all constructions for C4[ 72, 5 ]. See Glossary for some
detail.
{4, 4}_ 6, 6 = PS( 12, 12; 1) = PS( 12, 12; 5)
= AMC( 4, 12, [ 9. 8: 4. 9]) = UG(ATD[ 72, 7]) = UG(ATD[ 72, 8])
= UG(ATD[ 72, 9]) = UG(Rmap(144, 4) { 4, 4| 12}_ 12) = MG(Rmap( 72, 3) {
4, 4| 6}_ 12)
= DG(Rmap( 72, 3) { 4, 4| 6}_ 12) = DG(Rmap( 72, 8) { 4, 12| 6}_ 4) =
MG(Rmap( 72, 44) { 12, 12| 6}_ 12)
= DG(Rmap( 72, 44) { 12, 12| 6}_ 12) = MG(Rmap( 72, 45) { 12, 12| 6}_ 12) =
DG(Rmap( 72, 45) { 12, 12| 6}_ 12)
= MG(Rmap( 72, 46) { 12, 12| 2}_ 12) = DG(Rmap( 72, 46) { 12, 12| 2}_ 12) =
BGCG(DW( 6, 3); K2;{4, 5})
= PL({4, 4}_ 6, 0[ 6^ 12]) = BGCG({4, 4}_ 6, 0; K1;{4, 6}) = AT[ 72, 7]
Cyclic coverings
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
1 | 1 11 | 0 | - | - | - | 0 |
2 | 0 | - | 0 | - | - | 1 11 |
3 | - | 0 | - | 0 | 0 2 | - |
4 | - | - | 0 | 5 7 | 7 | - |
5 | - | - | 0 10 | 5 | - | 11 |
6 | 0 | 1 11 | - | - | 1 | - |
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
1 | - | 0 | 0 | - | 0 | 0 |
2 | 0 | - | 1 | 0 | - | 1 |
3 | 0 | 11 | - | 0 | 3 | - |
4 | - | 0 | 0 | - | 4 | 4 |
5 | 0 | - | 9 | 8 | - | 1 |
6 | 0 | 11 | - | 8 | 11 | - |
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
1 | 1 11 | 0 2 | - | - | - | - |
2 | 0 10 | - | 0 2 | - | - | - |
3 | - | 0 10 | - | 0 2 | - | - |
4 | - | - | 0 10 | - | 0 2 | - |
5 | - | - | - | 0 10 | - | 0 2 |
6 | - | - | - | - | 0 10 | 1 11 |
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
1 | - | 0 1 11 | - | - | - | 0 |
2 | 0 1 11 | - | 0 | - | - | - |
3 | - | 0 | - | 0 | - | 1 11 |
4 | - | - | 0 | - | 0 5 7 | - |
5 | - | - | - | 0 5 7 | - | 6 |
6 | 0 | - | 1 11 | - | 6 | - |
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
1 | - | 0 | 0 | 0 10 | - | - |
2 | 0 | - | 9 | - | 0 10 | - |
3 | 0 | 3 | - | - | - | 1 3 |
4 | 0 2 | - | - | - | 0 | 3 |
5 | - | 0 2 | - | 0 | - | 0 |
6 | - | - | 9 11 | 9 | 0 | - |
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
1 | 1 11 | 0 | - | - | - | 0 |
2 | 0 | 1 11 | 0 | - | - | - |
3 | - | 0 | 1 11 | 0 | - | - |
4 | - | - | 0 | 1 11 | 0 | - |
5 | - | - | - | 0 | 1 11 | 6 |
6 | 0 | - | - | - | 6 | 1 11 |