|
Search: id:A100023
|
|
|
| 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. |
|
+0
1
|
|
| 1, 2, 33, 415, 5198, 49274, 362191, 2127283, 10415371, 43855201, 162942160, 544750425, 1664602301, 4706957039, 12441105905, 30990626912, 73251661498, 165232613947, 357406368959, 744394713024, 1498152895495, 2922476743386, 5540491429760, 10232097731194
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
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: A002561 A030448 A093992 this_sequence A119300 A078262 A118117
Adjacent sequences: A100020 A100021 A100022 this_sequence A100024 A100025 A100026
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004
|
|
|
Search completed in 0.002 seconds
|
