A105683 Weight distribution of [12,6,6]_3 ternary extended Golay code.
1, 0, 264, 440, 24
Offset: 0
Examples
Weight enumerator is x^12 + 264*x^6*y^6 + 440*x^3*y^9 + 24*y^12.
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.
Programs
-
Magma
K:=FiniteField(3); C:=GolayCode(K,true); W
:=WeightEnumerator(C); W;