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 A006006 Weight distribution of [ 128,29,32 ] 2nd-order Reed-Muller code. 3
 1, 0, 0, 0, 10668, 0, 5291328, 112881664, 300503590, 112881664, 5291328, 0, 10668, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 REFERENCES F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978. LINKS E. R. Berlekamp and N. J. A. Sloane, Weight Enumerator for Second-Order Reed-Muller Codes, IEEE Trans. Information Theory, IT-16 (1970), 745-751. S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926. (Annotated scanned copy) M. Terada, J. Asatani and T. Koumoto, Weight Distribution EXAMPLE 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 The weight distribution is: i A_i 0 1 32 10668 48 5291328 56 112881664 64 300503590 72 112881664 80 5291328 96 10668 128 1 PROG (MAGMA) R := ReedMullerCode(2, 7); W := WeightEnumerator(R); W; CROSSREFS Sequence in context: A250524 A251062 A238150 * A151411 A023941 A065320 Adjacent sequences:  A006003 A006004 A006005 * A006007 A006008 A006009 KEYWORD nonn,fini,full AUTHOR STATUS approved

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Last modified April 22 22:19 EDT 2021. Contains 343197 sequences. (Running on oeis4.)