A105676 - OEIS

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

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OFFSET

1,1

REFERENCES

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

LINKS

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. also A105683.

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

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

STATUS

approved