A105674 Highest minimal distance of any Type I (strictly) singly-even binary self-dual code of length 2n.

2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10

Offset

1,1

Comments

The sequence continues: a(28) = either 10 or 12, then a(58) = 10, a(60) through a(68) = 12, ...

References

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977.

Links

Table of n, a(n) for n=1..27.

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).

Example

At length 8 the only strictly Type I self-dual code is {00,11}^4, which has d=2, so a(4) = 2.

Crossrefs

Cf. A105675, A105676, A105677, A105678, A016729, A066016, A105681, A105682.

Cf. also A105685 for the number of such codes.

Sequence in context: A064133 A295101 A160675 * A130496 A187243 A001299

Adjacent sequences: A105671 A105672 A105673 * A105675 A105676 A105677

Keyword

nonn,nice,more

Author

N. J. A. Sloane, May 06 2005

Status

approved