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A109488 Weight distribution of [64,18,22] extended binary primitive BCH (or XBCH) code. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 24 06:49 EDT 2017. Contains 291052 sequences.