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A109488
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Weight distribution of [64,18,22] extended binary primitive BCH (or XBCH) code.
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0
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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
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history;
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OFFSET
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0,12
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LINKS
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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
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EXAMPLE
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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
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CROSSREFS
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Sequence in context: A291136 A067140 A283725 * A245316 A046335 A046383
Adjacent sequences: A109485 A109486 A109487 * A109489 A109490 A109491
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane and Nadia Heninger, Aug 29 2005
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STATUS
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approved
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