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A001380
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Weight distribution of binary Golay code of length 24.
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9
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OFFSET
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0,3
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 84.
W. Ebeling, Lattices and Codes, Vieweg; 2nd ed., 2002, see p. 71.
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 67.
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LINKS
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E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998 (Abstract, pdf, ps).
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EXAMPLE
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The weight enumerator is x^24+759*x^16*y^8+2576*x^12*y^12+759*x^8*y^16+y^24.
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MAPLE
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g24 := x^24+759*x^16*y^8+759*x^8*y^16+2576*x^12*y^12+y^24; e8 := x^8+14*x^4*y^4+y^8; d:=n->x^(n mod 2)*(1/2)*( (x^2+y^2)^floor((n)/2)+(x^2-y^2)^floor((n)/2));
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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