A109488 Weight distribution of [64,18,22] extended binary primitive BCH (or XBCH) code.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4224, 5040, 24192, 12544, 69888, 30366, 69888, 12544, 24192, 5040, 4224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0,12

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 + 4224*x^42*y^22 + 5040*x^40*y^24 + 24192*x^38*y^26 + 12544*x^36*y^28 +
69888*x^34*y^30 + 30366*x^32*y^32 + 69888*x^30*y^34 + 12544*x^28*y^36 +
24192*x^26*y^38 + 5040*x^24*y^40 + 4224*x^22*y^42 + y^64
The weight distribution is:
i A_i
0 1
22 4224
24 5040
26 24192
28 12544
30 69888
32 30366
34 69888
36 12544
38 24192
40 5040
42 4224
64 1

Crossrefs

Sequence in context: A291136 A067140 A283725 * A245316 A046335 A046383

Adjacent sequences: A109485 A109486 A109487 * A109489 A109490 A109491

Keyword

nonn,fini,full

Author

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

Status

approved