A105683 Weight distribution of [12,6,6]_3 ternary extended Golay code.

1, 0, 264, 440, 24

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