A106164 Number of indecomposable Type I but not Type II binary self-dual codes of length 2n.

0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 6, 8, 19, 45, 148, 457, 2448, 20786

Offset

0,10

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=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).

Crossrefs

Cf. A003178, A003179, A106162-A106167.

Sequence in context: A365918 A098092 A221316 * A216205 A072230 A028332

Adjacent sequences: A106161 A106162 A106163 * A106165 A106166 A106167

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