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Search: id:A010031
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| A010031 |
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Weight distribution of any one of the five doubly-even binary [32,16,8] codes (quadratic residue, Reed-Muller, etc). |
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+0
2
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OFFSET
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0,3
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REFERENCES
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J. H. Conway and V. S. Pless, On the enumeration of self-dual codes, J. Comb. Theory, A28 (1980), 26-53.
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.
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 443.
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
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.
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EXAMPLE
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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
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CROSSREFS
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Sequence in context: A020377 A118467 A133207 this_sequence A035479 A043368 A006912
Adjacent sequences: A010028 A010029 A010030 this_sequence A010032 A010033 A010034
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KEYWORD
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nonn,fini,full
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AUTHOR
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njas
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