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 A109488 Weight distribution of [64,18,22] extended binary primitive BCH (or XBCH) code. 0

%I

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

%T 24192,5040,4224,0,0,0,0,0,0,0,0,0,0,1

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

%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

%H M. Terada, J. Asatani and T. Koumoto, <a href="http://isec.ec.okayama-u.ac.jp/home/kusaka/wd/index.html">Weight Distribution</a>

%e x^64 + 4224*x^42*y^22 + 5040*x^40*y^24 + 24192*x^38*y^26 + 12544*x^36*y^28 +

%e 69888*x^34*y^30 + 30366*x^32*y^32 + 69888*x^30*y^34 + 12544*x^28*y^36 +

%e 24192*x^26*y^38 + 5040*x^24*y^40 + 4224*x^22*y^42 + y^64

%e The weight distribution is:

%e i A_i

%e 0 1

%e 22 4224

%e 24 5040

%e 26 24192

%e 28 12544

%e 30 69888

%e 32 30366

%e 34 69888

%e 36 12544

%e 38 24192

%e 40 5040

%e 42 4224

%e 64 1

%K nonn,fini,full

%O 0,12

%A _N. J. A. Sloane_ and Nadia Heninger, Aug 29 2005

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Last modified December 3 00:23 EST 2022. Contains 358510 sequences. (Running on oeis4.)