Search: id:A105683
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%I A105683
%S A105683 1,0,264,440,24
%N A105683 Weight distribution of [12,6,6]_3 ternary extended Golay code.
%D A105683 J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", 
               Springer-Verlag.
%D A105683 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting 
               Codes, Elsevier/North Holland, 1977.
%H A105683 N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/
               abs/math.NT/0509316">On the Integrality of n-th Roots of Generating 
               Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%e A105683 Weight enumerator is x^12 + 264*x^6*y^6 + 440*x^3*y^9 + 24*y^12.
%o A105683 (MAGMA) K:=FiniteField(3); C:=GolayCode(K,true); W<x,y>:=WeightEnumerator(C); 
               W;
%Y A105683 Cf. A105676, A001380, A002289, A105684, A109141.
%Y A105683 Sequence in context: A157828 A065570 A050240 this_sequence A160971 A123654 
               A014745
%Y A105683 Adjacent sequences: A105680 A105681 A105682 this_sequence A105684 A105685 
               A105686
%K A105683 nonn,fini,full
%O A105683 0,3
%A A105683 N. J. A. Sloane (njas(AT)research.att.com), May 06 2005

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