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A109486 Weight enumerator of [64,30,14] extended BCH code. 0

%I #7 Mar 10 2020 12:45:31

%S 1,0,0,0,0,0,0,8064,30828,631680,1128960,14022144,14629440,105057792,

%T 65046016,282933504,106764966,282933504,65046016,105057792,14629440,

%U 14022144,1128960,631680,30828,8064,0,0,0,0,0,0,1

%N Weight enumerator of [64,30,14] extended BCH 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 + 8064*x^50*y^14 + 30828*x^48*y^16 + 631680*x^46*y^18 + 1128960*x^44*y^20 +

%e 14022144*x^42*y^22 + 14629440*x^40*y^24 + 105057792*x^38*y^26 +

%e 65046016*x^36*y^28 + 282933504*x^34*y^30 + 106764966*x^32*y^32 +

%e 282933504*x^30*y^34 + 65046016*x^28*y^36 + 105057792*x^26*y^38 +

%e 14629440*x^24*y^40 + 14022144*x^22*y^42 + 1128960*x^20*y^44 + 631680*x^18*y^46

%e + 30828*x^16*y^48 + 8064*x^14*y^50 + y^64

%K nonn,fini,full

%O 0,8

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

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