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A106166 Number of indecomposable binary self-dual codes (singly- or doubly-even) of length 2n and minimal distance exactly 4. 2
0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 6, 7, 24, 44, 145, 444, 2441, 19848 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

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.

V. S. Pless, The children of the (32,16) doubly even codes, IEEE Trans. Inform. Theory, 24 (1978), 738-746.

LINKS

Table of n, a(n) for n=1..18.

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

Sequence in context: A268500 A283824 A106168 * A101343 A284748 A134457

Adjacent sequences:  A106163 A106164 A106165 * A106167 A106168 A106169

KEYWORD

nonn,hard,more

AUTHOR

N. J. A. Sloane, May 09 2005

EXTENSIONS

a(34) computed by N. J. A. Sloane, based on data in Bilous's paper, Sep 06 2005

STATUS

approved

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Last modified May 17 19:34 EDT 2021. Contains 343988 sequences. (Running on oeis4.)