A105677 Highest minimal Hamming distance of any Type 4^E Euclidean linear self-dual code over GF(4) of length 2n.

2, 3, 3, 4, 4, 6, 6, 6

Offset

1,1

Comments

There is a related sequence which is presently too short to include: Highest minimal Lee distance of any Type (4^E)_II Euclidean linear even self-dual code over GF(4) of length 4n. This begins 4, 4, 8, 8, 8, then either 8 or 12, 12, 12, ...

The sequence continues: a(9) = either 6 or 7, a(10) = a(11) = 8, a(12) = 8, 9 or 10, ...

References

P. Gaborit and A. Otmani, Experimental construction of self-dual codes, Preprint.

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.

P. Gaborit, Tables of Self-Dual Codes

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. A105674, A105675, A105676, A105678, A016729, A066016, A105681, A105682.

Sequence in context: A365659 A344870 A318283 * A230476 A103297 A274017

Adjacent sequences: A105674 A105675 A105676 * A105678 A105679 A105680

Keyword

nonn,more

Author

N. J. A. Sloane, May 06 2005

Status

approved