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Search: id:A006006
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| A006006 |
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Weight distribution of [ 128,29,32 ] 2nd order Reed-Muller code. |
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+0
4
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| 1, 0, 0, 0, 10668, 0, 5291328, 112881664, 300503590, 112881664, 5291328, 0, 10668, 0, 0, 0, 1
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.
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LINKS
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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.
M. Terada, J. Asatani and T. Koumoto, Weight Distribution
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EXAMPLE
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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
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PROGRAM
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(MAGMA) R := ReedMullerCode(2, 7); W<x, y> := WeightEnumerator(R); W;
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CROSSREFS
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Sequence in context: A138254 A154510 A157326 this_sequence A151411 A023941 A065320
Adjacent sequences: A006003 A006004 A006005 this_sequence A006007 A006008 A006009
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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