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Search: id:A112641
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| A112641 |
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Weight distribution of quadratic residue code of length 23 over GF(3). |
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+0
2
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| 1, 0, 0, 0, 0, 0, 0, 0, 1518, 2530, 0, 30912, 30912, 0, 151800, 91080, 0, 148764, 49588, 0, 21252, 3036, 0, 48
(list; graph; listen)
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OFFSET
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0,9
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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. 620.
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LINKS
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G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
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EXAMPLE
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x^23 + 1518*x^15*y^8 + 2530*x^14*y^9 + 30912*x^12*y^11 + 30912*x^11*y^12 + 151800*x^9*y^14 + 91080*x^8*y^15 + 148764*x^6*y^17 + 49588*x^5*y^18 + 21252*x^3*y^20 + 3036*x^2*y^21 + 48*y^23;
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PROGRAM
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(MAGMA) C:=QRCode(GF(3), 23); W<x, y>:=WeightEnumerator(C); W;
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CROSSREFS
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Cf. A001382 (the extended code).
Sequence in context: A064584 A031810 A020415 this_sequence A157375 A074906 A025413
Adjacent sequences: A112638 A112639 A112640 this_sequence A112642 A112643 A112644
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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), Dec 23 2006
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