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A003179
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Number of self-dual binary codes of length 2n.
(Formerly M0289)
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11
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1, 1, 1, 1, 2, 2, 3, 4, 7, 9, 16, 25, 55, 103, 261, 731, 3295, 24147
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,5
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REFERENCES
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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.
W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic. 11 (2005), 451-490.
V. S. Pless, The children of the (32,16) doubly even codes, IEEE Trans. Inform. Theory, 24 (1978), 738-746.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=0..17.
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. A003178, A028362, A028363, A105685. Equals A106163 + A106165.
Sequence in context: A083130 A083129 A110160 * A153934 A143590 A059348
Adjacent sequences: A003176 A003177 A003178 * A003180 A003181 A003182
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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.
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STATUS
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approved
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