%I #6 Sep 08 2022 08:45:17
%S 1,0,264,440,24
%N Weight distribution of [12,6,6]_3 ternary extended Golay code.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.
%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977.
%H 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 Weight enumerator is x^12 + 264*x^6*y^6 + 440*x^3*y^9 + 24*y^12.
%o (Magma) K:=FiniteField(3); C:=GolayCode(K,true); W<x,y>:=WeightEnumerator(C); W;
%Y Cf. A105676, A001380, A002289, A105684, A109141.
%K nonn,fini,full
%O 0,3
%A _N. J. A. Sloane_, May 06 2005