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A109487 Weight enumerator of [64,24,16] extended BCH code. 0

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

%S 1,0,0,0,0,0,0,0,2604,10752,0,216576,291648,1645056,888832,4419072,

%T 1828134,4419072,888832,1645056,291648,216576,0,10752,2604,0,0,0,0,0,

%U 0,0,1

%N Weight enumerator of [64,24,16] 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 + 2604*x^48*y^16 + 10752*x^46*y^18 + 216576*x^42*y^22 + 291648*x^40*y^24 +

%e 1645056*x^38*y^26 + 888832*x^36*y^28 + 4419072*x^34*y^30 + 1828134*x^32*y^32 +

%e 4419072*x^30*y^34 + 888832*x^28*y^36 + 1645056*x^26*y^38 + 291648*x^24*y^40 +

%e 216576*x^22*y^42 + 10752*x^18*y^46 + 2604*x^16*y^48 + y^64

%e The weight distribution is:

%e 0 1

%e 16 2604

%e 18 10752

%e 22 216576

%e 24 291648

%e 26 1645056

%e 28 888832

%e 30 4419072

%e 32 1828134

%e 34 4419072

%e 36 888832

%e 38 1645056

%e 40 291648

%e 42 216576

%e 46 10752

%e 48 2604

%e 64 1

%K nonn,fini,full

%O 0,9

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

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Last modified April 25 09:18 EDT 2024. Contains 371967 sequences. (Running on oeis4.)