A109483 - OEIS

%I #17 Jul 04 2021 03:26:40

%S 1,0,0,0,0,13888,172704,2874816,29210412,214597824,1168181280,

%T 4794749760,14924626752,35889146496,66620912960,96671788416,

%U 109123263270,96671788416,66620912960,35889146496,14924626752,4794749760,1168181280,214597824,29210412

%N Weight enumerator of [64,39,10] extended BCH code.

%H Georg Fischer, <a href="/A109483/b109483.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 + 13888*x^54*y^10 + 172704*x^52*y^12 + 2874816*x^50*y^14 + 29210412*x^48*y^16 + 214597824*x^46*y^18 + 1168181280*x^44*y^20 + 4794749760*x^42*y^22 + 14924626752*x^40*y^24 + 35889146496*x^38*y^26 + 66620912960*x^36*y^28 + 96671788416*x^34*y^30 + 109123263270*x^32*y^32 + 96671788416*x^30*y^34 + 66620912960*x^28*y^36 + 35889146496*x^26*y^38 + 14924626752*x^24*y^40 + 4794749760*x^22*y^42 + 1168181280*x^20*y^44 + 214597824*x^18*y^46 + 29210412*x^16*y^48 + 2874816*x^14*y^50 + 172704*x^12*y^52 + 13888*x^10*y^54 + y^64.

%Y Cf. A109484.

%K nonn,fini,full

%O 0,6

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