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A003178 Number of indecomposable self-dual binary codes of length 2n.
(Formerly M0356)
1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 6, 8, 26, 45, 148, 457, 2523, 20786 (list; graph; refs; listen; history; text; internal format)



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.

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..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).


Cf. A003179, A028362, A028363. Equals A106162 + A106164.

Sequence in context: A197465 A074933 A157253 * A079494 A169970 A334499

Adjacent sequences:  A003175 A003176 A003177 * A003179 A003180 A003181




N. J. A. Sloane.


a(16) corrected and a(17) added by N. J. A. Sloane, based on data in Bilous's paper, Sep 06 2005



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Last modified August 1 05:04 EDT 2021. Contains 346384 sequences. (Running on oeis4.)