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A006006
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Weight distribution of [ 128,29,32 ] 2nd order Reed-Muller code.
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3
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1, 0, 0, 0, 10668, 0, 5291328, 112881664, 300503590, 112881664, 5291328, 0, 10668, 0, 0, 0, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.
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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.
M. Terada, J. Asatani and T. Koumoto, Weight Distribution
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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
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PROG
| (MAGMA) R := ReedMullerCode(2, 7); W<x, y> := WeightEnumerator(R); W;
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CROSSREFS
| Sequence in context: A138254 A154510 A157326 * A151411 A023941 A065320
Adjacent sequences: A006003 A006004 A006005 * A006007 A006008 A006009
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KEYWORD
| nonn,fini,full
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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