|
Search: id:A105683
|
|
|
| A105683 |
|
Weight distribution of [12,6,6]_3 ternary extended Golay code. |
|
+0
4
|
| |
|
|
OFFSET
|
0,3
|
|
|
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.
|
|
EXAMPLE
|
Weight enumerator is x^12 + 264*x^6*y^6 + 440*x^3*y^9 + 24*y^12.
|
|
PROGRAM
|
(MAGMA) K:=FiniteField(3); C:=GolayCode(K, true); W<x, y>:=WeightEnumerator(C); W;
|
|
CROSSREFS
|
Cf. A105676, A001380, A002289, A105684, A109141.
Adjacent sequences: A105680 A105681 A105682 this_sequence A105684 A105685 A105686
Sequence in context: A157828 A065570 A050240 this_sequence A160971 A123654 A014745
|
|
KEYWORD
|
nonn,fini,full
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), May 06 2005
|
|
|
Search completed in 0.002 seconds
|
