A001382 Weight distribution of ternary [ 24,12,9 ] quadratic residue code (also of Pless symmetry code).

1, 0, 0, 4048, 61824, 242880, 198352, 24288, 48

Offset

0,4

References

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 620.

Links

Table of n, a(n) for n=0..8.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

Example

x^24 + 4048*x^15*y^9 + 61824*x^12*y^12 + 242880*x^9*y^15 + 198352*x^6*y^18 + 24288*x^3*y^21 + 48*y^24.

Prog

(Magma) C:=QRCode(GF(3), 23); D:=ExtendCode(C); W<x, y>:=WeightEnumerator(D); W;

Crossrefs

Cf. A112641 (cyclic version).

Sequence in context: A237030 A252809 A202313 * A090058 A251032 A035782

Adjacent sequences: A001379 A001380 A001381 * A001383 A001384 A001385

Keyword

nonn,fini,full

Author

N. J. A. Sloane

Status

approved