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

Author

N. J. A. Sloane, May 06 2005

Keywords

• nonn
• more

Examples

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

References

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

Links

• 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).

Crossrefs

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

Cf. also A105683.

Extensions

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