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A110847 Weight enumerator of [32,31,2] Reed-Muller code RM(4,5). 2

%I #7 Mar 30 2012 18:54:36

%S 1,496,35960,906192,10518300,64512240,225792840,471435600,601080390,

%T 471435600,225792840,64512240,10518300,906192,35960,496,1

%N Weight enumerator of [32,31,2] Reed-Muller code RM(4,5).

%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.

%e x^32+496*x^30*y^2+35960*x^28*y^4+906192*x^26*y^6+10518300*x^24*y^8+64512240*x^22*y^10+225792840*x^20*y^12+471435600*x^18*y^14+601080390*x^16*y^16+471435600*x^14*y^18+225792840*x^12*y^20+64512240*x^10*y^22+10518300*x^8*y^24+906192*x^6*y^26+35960*x^4*y^28+496*x^2*y^30+y^32

%K nonn,fini,full

%O 0,2

%A _N. J. A. Sloane_ and _Nadia Heninger_ Aug 18 2005

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