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Weight enumerator of [32,11,10] extended BCH code.
1

%I #8 Sep 08 2022 08:45:19

%S 1,0,0,496,1054,496,0,0,1

%N Weight enumerator of [32,11,10] 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^32 + 496*x^20*y^12 + 1054*x^16*y^16 + 496*x^12*y^20 + y^32.

%o (Magma) C := BCHCode(GF(2),31,9); D:=ExtendCode(C); W<x,y>:=WeightEnumerator(D);

%K nonn,fini,full

%O 0,4

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