Constructions for C4[ 30, 3 ] = PS(6,5;2)
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On this page are all constructions for C4[ 30, 3 ]. See Glossary for some
detail.
PS( 6, 5; 2) = PS( 6, 10; 3) = BC_ 15( 0, 1, 3, 7)
= Pr_ 10( 1, 6, 2, 3) = UG(ATD[ 30, 4]) = UG(Rmap( 60, 59) { 6, 4| 6}_
10)
= MG(Rmap( 30, 31) { 6, 6| 5}_ 6) = MG(Rmap( 30, 39) { 6, 10| 5}_ 10) =
UG(Cmap( 60, 3) { 12, 4| 10}_ 30)
= UG(Cmap( 60, 4) { 12, 4| 10}_ 30) = MG(Cmap( 30, 1) { 12, 12| 15}_ 10) =
MG(Cmap( 30, 2) { 12, 12| 15}_ 10)
= BGCG(K5, C_ 3, 1) = B(Pr_ 5( 1, 1, 2, 2)) = BGCG(Pr_ 5( 1, 1, 2,
2); K1;1)
= AT[ 30, 4]
Cyclic coverings
| 1 | 2 | |
|---|---|---|
| 1 | - | 0 1 9 13 |
| 2 | 0 2 6 14 | - |
| 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|
| 1 | 3 | 0 | 0 | - | 0 |
| 2 | 0 | - | 1 | 3 | 5 |
| 3 | 0 | 5 | - | 1 | 1 |
| 4 | - | 3 | 5 | 3 | 1 |
| 5 | 0 | 1 | 5 | 5 | - |
| 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|
| 1 | 3 | 0 | - | 0 | 0 |
| 2 | 0 | 1 5 | 3 | - | - |
| 3 | - | 3 | 3 | 5 | 1 |
| 4 | 0 | - | 1 | 1 5 | - |
| 5 | 0 | - | 5 | - | 1 5 |
| 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|
| 1 | 1 5 | 0 | - | 0 | - |
| 2 | 0 | - | 3 | 3 | 3 |
| 3 | - | 3 | - | 5 | 1 3 |
| 4 | 0 | 3 | 1 | - | 5 |
| 5 | - | 3 | 3 5 | 1 | - |
| 1 | 2 | 3 | |
|---|---|---|---|
| 1 | - | 0 4 | 0 8 |
| 2 | 0 6 | 1 9 | - |
| 3 | 0 2 | - | 3 7 |