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A003179 Number of self-dual binary codes of length 2n.
(Formerly M0289)
+0
11
1, 1, 1, 1, 2, 2, 3, 4, 7, 9, 16, 25, 55, 103, 261, 731, 3295, 24147 (list; graph; listen)
OFFSET

0,5

REFERENCES

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.

LINKS

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).

CROSSREFS

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

Sequence in context: A083130 A083129 A110160 this_sequence A059348 A110871 A053638

Adjacent sequences: A003176 A003177 A003178 this_sequence A003180 A003181 A003182

KEYWORD

nonn,hard,nice

AUTHOR

njas

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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