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A105683 Weight distribution of [12,6,6]_3 ternary extended Golay code. 3
1, 0, 264, 440, 24 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 29 13:01 EST 2022. Contains 358429 sequences. (Running on oeis4.)