A100023 Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector.

1, 2, 33, 415, 5198, 49274, 362191, 2127283, 10415371, 43855201, 162942160, 544750425, 1664602301, 4706957039, 12441105905, 30990626912, 73251661498, 165232613947, 357406368959, 744394713024, 1498152895495, 2922476743386, 5540491429760, 10232097731194

Offset

0,2

Links

Table of n, a(n) for n=0..23.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Index entries for Molien series

Formula

G.f.: u1/u2 where u1 := f(t^4) + t^148*f(t^-4), u2 := (1-t^4)^2*(1-t^8)^9*(1-t^12)^3*(1-t^24)^2 and

f(t) = 1 + 21*t^2 + 348*t^3 + 4167*t^4 + 36071*t^5 + 229176*t^6 + 1098673*t^7 + 4151088*t^8 + 12776903*t^9 + 32923056*t^10 + 72635374*t^11 + 139845777*t^12 + 238772588*t^13+ 366395941*t^14+ 510689826*t^15+ 651563740*t^16+ 764743937*t^17+ 828011969*t^18.

Crossrefs

Sequence in context: A361887 A294272 A231595 * A336969 A119300 A078262

Adjacent sequences: A100020 A100021 A100022 * A100024 A100025 A100026

Keyword

nonn

Author

G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004

Status

approved