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Search: id:A003178
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| A003178 |
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Number of indecomposable self-dual binary codes of length 2n.
(Formerly M0356)
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+0
10
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| 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 6, 8, 26, 45, 148, 457, 2523, 20786
(list; graph; listen)
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OFFSET
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0,9
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
R. T. Bilous, Enumeration of binary self-dual codes of length 34, Preprint, 2005.
R. T. Bilous and G. H. J. van Rees, An enumeration of binary self-dual codes of length 32, Designs, Codes Crypt., 26 (2002), 61-86.
J. H. Conway and V. S. Pless, On the enumeration of self-dual codes, J. Comb. Theory, A28 (1980), 26-53.
V. S. Pless, The children of the (32,16) doubly even codes, IEEE Trans. Inform. Theory, 24 (1978), 738-746.
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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.
J. H. Conway, V. Pless and N. J. A. Sloane, The Binary Self-Dual Codes of Length Up to 32: A Revised Enumeration, J. Comb. Theory, A28 (1980), 26-53 (Abstract, pdf, ps, Table A, Table D).
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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CROSSREFS
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Cf. A003179, A028362, A028363. Equals A106162 + A106164.
Sequence in context: A052957 A157253 A074933 this_sequence A079494 A131553 A094485
Adjacent sequences: A003175 A003176 A003177 this_sequence A003179 A003180 A003181
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KEYWORD
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nonn,hard,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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a(16) corrected and a(17) added by N. J. A. Sloane (njas(AT)research.att.com), based on data in Bilous's paper, Sep 06 2005
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