A105683 Weight distribution of [12,6,6]_3 ternary extended Golay code.

1, 0, 264, 440, 24

Offset: 0

Author

N. J. A. Sloane, May 06 2005

Keywords

• nonn
• fini
• full

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.

Crossrefs

Cf. A105676, A001380, A002289, A105684, A109141.

Programs

Magma

K:=FiniteField(3); C:=GolayCode(K,true); W:=WeightEnumerator(C); W;