A105676 Highest minimal Hamming distance of any Type 3 ternary self-dual code of length 4n.

3, 3, 6, 6, 6, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18

Offset

1,1

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..16.

P. Gaborit, Tables of Self-Dual Codes

W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic., 11 (2005), 451-490.

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).

Example

The [12,6,6]_3 ternary Golay code has d=6, so a(3) = 6.

Crossrefs

Cf. A105674, A105675, A105677, A105678, A016729, A066016, A105681, A105682.

Cf. also A105683.

Sequence in context: A072464 A262871 A160745 * A127739 A327142 A175394

Adjacent sequences: A105673 A105674 A105675 * A105677 A105678 A105679

Keyword

nonn,more

Author

N. J. A. Sloane, May 06 2005

Extensions

The sequence continues: a(17) = either 15 or 18, a(18) = 18, ...

Status

approved