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Search: id:A010081
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| A010081 |
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Weight distribution of extended Hamming code of length 32 (or 3rd order Reed-Muller code). |
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+0
2
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| 1, 0, 1240, 27776, 330460, 2011776, 7063784, 14721280, 18796230, 14721280, 7063784, 2011776, 330460, 27776, 1240, 0, 1
(list; graph; listen)
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OFFSET
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0,3
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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, p. 129.
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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.
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EXAMPLE
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x^32+1240*x^28*y^4+27776*x^26*y^6+330460*x^24*y^8+2011776*x^22*y^10+7063784*x^20*y^12+14721280*x^18*y^14+18796230*x^16*y^16+14721280*x^14*y^18+7063784*x^12*y^20+2011776*x^10*y^22+330460*x^8*y^24+27776*x^6*y^26+1240*x^4*y^28+y^32
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PROGRAM
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(MAGMA) C := ReedMullerCode(3, 5); W<x, y> := WeightEnumerator(C);
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CROSSREFS
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Sequence in context: A104971 A091332 A122043 this_sequence A028514 A099178 A047628
Adjacent sequences: A010078 A010079 A010080 this_sequence A010082 A010083 A010084
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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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