A109485 Weight enumerator of [64,36,12] extended BCH code.

1, 0, 0, 0, 0, 0, 30240, 354816, 3583020, 27105792, 145061280, 603113472, 1853011776, 4517259264, 8269968448, 12166253568, 13547993382, 12166253568, 8269968448, 4517259264, 1853011776, 603113472, 145061280, 27105792, 3583020, 354816, 30240, 0, 0, 0, 0, 0, 1

Offset

0,7

Links

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, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

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

Example

x^64 + 30240*x^52*y^12 + 354816*x^50*y^14 + 3583020*x^48*y^16 + 27105792*x^46*y^18
+ 145061280*x^44*y^20 + 603113472*x^42*y^22 + 1853011776*x^40*y^24 +
4517259264*x^38*y^26 + 8269968448*x^36*y^28 + 12166253568*x^34*y^30 +
13547993382*x^32*y^32 + 12166253568*x^30*y^34 + 8269968448*x^28*y^36 +
4517259264*x^26*y^38 + 1853011776*x^24*y^40 + 603113472*x^22*y^42 +
145061280*x^20*y^44 + 27105792*x^18*y^46 + 3583020*x^16*y^48 +
354816*x^14*y^50 + 30240*x^12*y^52 + y^64

Crossrefs

Sequence in context: A190475 A218029 A323991 * A156429 A171263 A233731

Adjacent sequences: A109482 A109483 A109484 * A109486 A109487 A109488

Keyword

nonn,fini,full

Author

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

Status

approved