A109481 Weight enumerator of [64,45,8] extended BCH code.

1, 0, 0, 0, 27288, 501760, 12738432, 182458368, 1862977116, 13739292672, 74852604288, 306460084224, 956270217000, 2294484111360, 4268285380352, 6180152832000, 6991765639110, 6180152832000, 4268285380352, 2294484111360, 956270217000, 306460084224, 74852604288

Offset

0,5

Links

Georg Fischer, Table of n, a(n) for n = 0..32

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, arXiv:math/0509316 [math.NT], 2005-2006; J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

M. Terada, J. Asatani and T. Koumoto, Weight Distribution

Example

x^64 + 27288*x^56*y^8 + 501760*x^54*y^10 + 12738432*x^52*y^12 + 182458368*x^50*y^14 + 1862977116*x^48*y^16 + 13739292672*x^46*y^18 + 74852604288*x^44*y^20 + 306460084224*x^42*y^22 + 956270217000*x^40*y^24 + 2294484111360*x^38*y^26 + 4268285380352*x^36*y^28 + 6180152832000*x^34*y^30 + 6991765639110*x^32*y^32 + 6180152832000*x^30*y^34 + 4268285380352*x^28*y^36 + 2294484111360*x^26*y^38 + 956270217000*x^24*y^40 + 306460084224*x^22*y^42 + 74852604288*x^20*y^44 + 13739292672*x^18*y^46 + 1862977116*x^16*y^48 + 182458368*x^14*y^50 + 12738432*x^12*y^52 + 501760*x^10*y^54 + 27288*x^8*y^56 + y^64.

Crossrefs

Cf. A109482.

Sequence in context: A099230 A267706 A237381 * A328214 A234686 A064967

Adjacent sequences: A109478 A109479 A109480 * A109482 A109483 A109484

Keyword

nonn,fini,full

Author

N. J. A. Sloane and Nadia Heninger, Aug 29 2005

Status

approved