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%I #13 Mar 10 2020 12:45:31
%S 1,0,620,13888,36518,13888,620,0,1
%N Weight distribution of any one of the five doubly-even binary [32,16,8] codes (quadratic residue, Reed-Muller, etc.).
%D J. H. Conway and V. S. Pless, On the enumeration of self-dual codes, J. Comb. Theory, A28 (1980), 26-53.
%D J. H. Conway, V. S. Pless and N. J. A. Sloane, The binary self-dual codes of length up to 32: a revised enumeration, J. Combin. Theory, A 60 (1992), 183-195.
%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 443.
%H E. R. Berlekamp and N. J. A. Sloane, <a href="http://neilsloane.com/doc/rmb.html">Weight Enumerator for Second-Order Reed-Muller Codes</a>, IEEE Trans. Information Theory, IT-16 (1970), 745-751.
%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+620*x^24*y^8+13888*x^20*y^12+36518*x^16*y^16+13888*x^12*y^20+620*x^8*y^24+y^32
%K nonn,fini,full
%O 0,3
%A _N. J. A. Sloane_.
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