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A105683
Weight distribution of [12,6,6]_3 ternary extended Golay code.
3
1, 0, 264, 440, 24
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OFFSET
0,3
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977.
LINKS
Table of n, a(n) for n=0..4.
N. Heninger, E. M. Rains and N. J. A. Sloane,
On the Integrality of n-th Roots of Generating Functions
, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
EXAMPLE
Weight enumerator is x^12 + 264*x^6*y^6 + 440*x^3*y^9 + 24*y^12.
PROG
(Magma) K:=FiniteField(3); C:=GolayCode(K, true); W<x, y>:=WeightEnumerator(C); W;
CROSSREFS
Cf.
A105676
,
A001380
,
A002289
,
A105684
,
A109141
.
Sequence in context:
A255804
A351802
A050240
*
A160971
A235012
A211713
Adjacent sequences:
A105680
A105681
A105682
*
A105684
A105685
A105686
KEYWORD
nonn
,
fini
,
full
AUTHOR
N. J. A. Sloane
, May 06 2005
STATUS
approved