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A003179 Number of self-dual binary codes of length 2n.
(Formerly M0289)
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)



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


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


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).


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




N. J. A. Sloane.


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



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Last modified October 20 20:20 EDT 2018. Contains 316402 sequences. (Running on oeis4.)