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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; 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

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: A157828 A065570 A050240 * A160971 A185764 A195672

Adjacent sequences:  A105680 A105681 A105682 * A105684 A105685 A105686

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 06 2005

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.