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Weight distribution of [11,6,5]_3 ternary Golay perfect code.
1

%I #4 Sep 08 2022 08:45:17

%S 1,0,0,0,0,132,132,0,330,110,0,24

%N Weight distribution of [11,6,5]_3 ternary Golay perfect 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.

%e Weight enumerator is x^11 + 132*x^6*y^5 + 132*x^5*y^6 + 330*x^3*y^8 + 110*x^2*y^9 + 24*y^11.

%o (Magma) K:=FiniteField(3); C:=GolayCode(K,false); W<x,y>:=WeightEnumerator(C); W;

%Y Cf. A105676, A001380, A002289, A105683.

%K nonn,fini,full

%O 0,6

%A _N. J. A. Sloane_, May 06 2005