

A105683


Weight distribution of [12,6,6]_3 ternary extended Golay code.


3




OFFSET

0,3


REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", SpringerVerlag.
F. J. MacWilliams and N. J. A. Sloane, The Theory of ErrorCorrecting 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 nth Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 17321745.


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



