C4graphConstructions for C4[ 288, 11 ] = {4,4}_[36,4]

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On this page are all constructions for C4[ 288, 11 ]. See Glossary for some detail.

{4, 4}_[ 36, 4] = PS( 72, 8; 1) = PS( 72, 8; 3)

      = PS( 8, 72; 1) = PS( 8, 72; 35) = PL(MC3( 4, 36, 1, 19, 19, 16, 1), [4^36, 36^4])

      = PL(MC3( 12, 12, 1, 7, 7, 4, 1), [4^36, 36^4]) = LoPr_ 72( 1, 2, 2, 2, 1) = PL(KE_ 36( 1, 1, 2, 1, 1), [4^36, 36^4])

      = PL(Curtain_ 36( 1, 2, 1, 2, 36), [4^36, 36^4]) = UG(ATD[288, 154]) = UG(ATD[288, 155])

      = UG(ATD[288, 156]) = MG(Rmap(288,223) { 8, 72| 2}_ 72) = DG(Rmap(288,223) { 8, 72| 2}_ 72)

      = MG(Rmap(288,226) { 8, 72| 4}_ 72) = DG(Rmap(288,226) { 8, 72| 4}_ 72) = DG(Rmap(288,240) { 72, 8| 2}_ 72)

      = DG(Rmap(288,241) { 72, 8| 4}_ 72) = BGCG(W( 36, 2); K2;3) = AT[288, 43]

     

Cyclic coverings

mod 72:
1234
1 1 71 0 - 0
2 0 1 71 0 -
3 - 0 1 71 4
4 0 - 68 1 71

mod 72:
1234
1 1 71 0 2 - -
2 0 70 - 0 2 -
3 - 0 70 - 0 2
4 - - 0 70 1 71

mod 72:
1234
1 - 0 0 70 0
2 0 - 1 1 3
3 0 2 71 - 3
4 0 69 71 69 -