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A003179 Number of self-dual binary codes of length 2n.
(Formerly M0289)
12
1, 1, 1, 1, 2, 2, 3, 4, 7, 9, 16, 25, 55, 103, 261, 731, 3295, 24147, 519492 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

The length 36 binary self dual codes have been classified. - Nathan J. Russell, Feb 14 2016

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..18.

R. T. Bilous and G. H. J. van Rees, An enumeration of binary self-dual codes of length 32, preprint.

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. MR0558873

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).

Masaaki Harada and Akihiro Munemasa, Classification of Self-Dual Codes of Length 36, arXiv:1012.5464 [math.CO], 2010-2012.

W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic. 11 (2005), 451-490.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998 (Abstract, pdf, ps).

CROSSREFS

Cf. A003178, A028362, A028363, A105685. Equals A106163 + A106165.

Sequence in context: A110160 A277252 A241415 * A153934 A143590 A245620

Adjacent sequences:  A003176 A003177 A003178 * A003180 A003181 A003182

KEYWORD

nonn,hard,more,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(18) from Nathan J. Russell, Feb 14 2016

STATUS

approved

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Last modified February 21 00:30 EST 2018. Contains 299388 sequences. (Running on oeis4.)