Search: id:A006006
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%I A006006
%S A006006 1,0,0,0,10668,0,5291328,112881664,300503590,112881664,
%T A006006 5291328,0,10668,0,0,0,1
%N A006006 Weight distribution of [ 128,29,32 ] 2nd order Reed-Muller code.
%D A006006 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting 
               Codes, Elsevier-North Holland, 1978.
%H A006006 E. R. Berlekamp and N. J. A. Sloane, <a href="http://www.research.att.com/
               ~njas/doc/rmb.html">Weight Enumerator for Second-Order Reed-Muller 
               Codes</a>, IEEE Trans. Information Theory, IT-16 (1970), 745-751.
%H A006006 M. Terada, J. Asatani and T. Koumoto, <a href="http://www.infsys.cne.okayama-u.ac.jp/
               ~koumoto/wd/index.html">Weight Distribution</a>
%e A006006 x^128+10668*x^96*y^32+5291328*x^80*y^48+112881664*x^72*y^56+300503590*x^64*y^64+112881664*x^56*y^72+5291328*x\
               ^48*y^80+10668*x^32*y^96+y^128
%e A006006 The weight distribution is:
%e A006006 i A_i
%e A006006 0 1
%e A006006 32 10668
%e A006006 48 5291328
%e A006006 56 112881664
%e A006006 64 300503590
%e A006006 72 112881664
%e A006006 80 5291328
%e A006006 96 10668
%e A006006 128 1
%o A006006 (MAGMA) R := ReedMullerCode(2,7); W<x,y> := WeightEnumerator(R); W;
%Y A006006 Sequence in context: A138254 A154510 A157326 this_sequence A151411 A023941 
               A065320
%Y A006006 Adjacent sequences: A006003 A006004 A006005 this_sequence A006007 A006008 
               A006009
%K A006006 nonn,fini,full
%O A006006 0,5
%A A006006 N. J. A. Sloane (njas(AT)research.att.com).

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