A109487 Weight enumerator of [64,24,16] extended BCH code.

1, 0, 0, 0, 0, 0, 0, 0, 2604, 10752, 0, 216576, 291648, 1645056, 888832, 4419072, 1828134, 4419072, 888832, 1645056, 291648, 216576, 0, 10752, 2604, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0,9

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 + 2604*x^48*y^16 + 10752*x^46*y^18 + 216576*x^42*y^22 + 291648*x^40*y^24 +
1645056*x^38*y^26 + 888832*x^36*y^28 + 4419072*x^34*y^30 + 1828134*x^32*y^32 +
4419072*x^30*y^34 + 888832*x^28*y^36 + 1645056*x^26*y^38 + 291648*x^24*y^40 +
216576*x^22*y^42 + 10752*x^18*y^46 + 2604*x^16*y^48 + y^64
The weight distribution is:
0 1
16 2604
18 10752
22 216576
24 291648
26 1645056
28 888832
30 4419072
32 1828134
34 4419072
36 888832
38 1645056
40 291648
42 216576
46 10752
48 2604
64 1

Crossrefs

Sequence in context: A031549 A031729 A001726 * A015309 A212083 A236889

Adjacent sequences: A109484 A109485 A109486 * A109488 A109489 A109490

Keyword

nonn,fini,full

Author

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

Status

approved