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A109481 Weight enumerator of [64,45,8] extended BCH code. 2

%I #17 Jul 04 2021 03:26:25

%S 1,0,0,0,27288,501760,12738432,182458368,1862977116,13739292672,

%T 74852604288,306460084224,956270217000,2294484111360,4268285380352,

%U 6180152832000,6991765639110,6180152832000,4268285380352,2294484111360,956270217000,306460084224,74852604288

%N Weight enumerator of [64,45,8] extended BCH code.

%H Georg Fischer, <a href="/A109481/b109481.txt">Table of n, a(n) for n = 0..32</a>

%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="https://arxiv.org/abs/math/0509316">On the Integrality of n-th Roots of Generating Functions</a>, arXiv:math/0509316 [math.NT], 2005-2006; 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 + 27288*x^56*y^8 + 501760*x^54*y^10 + 12738432*x^52*y^12 + 182458368*x^50*y^14 + 1862977116*x^48*y^16 + 13739292672*x^46*y^18 + 74852604288*x^44*y^20 + 306460084224*x^42*y^22 + 956270217000*x^40*y^24 + 2294484111360*x^38*y^26 + 4268285380352*x^36*y^28 + 6180152832000*x^34*y^30 + 6991765639110*x^32*y^32 + 6180152832000*x^30*y^34 + 4268285380352*x^28*y^36 + 2294484111360*x^26*y^38 + 956270217000*x^24*y^40 + 306460084224*x^22*y^42 + 74852604288*x^20*y^44 + 13739292672*x^18*y^46 + 1862977116*x^16*y^48 + 182458368*x^14*y^50 + 12738432*x^12*y^52 + 501760*x^10*y^54 + 27288*x^8*y^56 + y^64.

%Y Cf. A109482.

%K nonn,fini,full

%O 0,5

%A _N. J. A. Sloane_ and _Nadia Heninger_, Aug 29 2005

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Last modified March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)