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Search: id:A105683
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| A105683 |
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Weight distribution of [12,6,6]_3 ternary extended Golay code. |
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+0
4
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OFFSET
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0,3
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REFERENCES
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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.
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LINKS
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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.
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EXAMPLE
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Weight enumerator is x^12 + 264*x^6*y^6 + 440*x^3*y^9 + 24*y^12.
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PROGRAM
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(MAGMA) K:=FiniteField(3); C:=GolayCode(K, true); W<x, y>:=WeightEnumerator(C); W;
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CROSSREFS
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Cf. A105676, A001380, A002289, A105684, A109141.
Sequence in context: A157828 A065570 A050240 this_sequence A160971 A123654 A014745
Adjacent sequences: A105680 A105681 A105682 this_sequence A105684 A105685 A105686
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 06 2005
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