A106158 Number of Type 4^E Euclidean self-dual codes over GF(4) of length 2n, excluding those of Type 4^E_{II}.

1, 1, 3, 6, 17, 63, 404, 9858

Offset

1,3

References

K. Betsumiya, On the classification of Type II codes over F_{2^r} with binary length 32, Preprint, 2002.

K. Betsumiya, P. Gaborit and M. Harada, Type II codes over F_{2^r}, in Applied Algebra, Algebraic Algorithms and Error Correcting Codes, 2001, Lecture Notes in Comp. Sci. 2227, 102-111.

P. Gaborit, V. S. Pless, P. Solé and A. O. L. Atkin, Type II codes over F_4, Finite Fields Applic. 8 (2002), 171-183.

D. K. Kim, H. K. Kim and J.-L. Kim, Type I codes over GF(4), Preprint, 2004.

Links

Table of n, a(n) for n=1..8.

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).

Crossrefs

Cf. A106159.

Sequence in context: A354878 A143093 A117712 * A274103 A195995 A248324

Adjacent sequences: A106155 A106156 A106157 * A106159 A106160 A106161

Keyword

nonn

Author

N. J. A. Sloane, May 08 2005

Extensions

a(6)-a(8) from Koichi Betsumiya, Oct 15 2005

Status

approved