A105678 Highest minimal Hamming distance of any Type 4^H Hermitian linear self-dual code over GF(4) of length 2n.

2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 10, 12

Offset: 1

Author

N. J. A. Sloane, May 06 2005

Keywords

• nonn
• more

Comments

The next term a(16) is either 10 or 12.

Links

• P. Gaborit, Tables of Self-Dual Codes
• P. Gaborit and A. Otmani, Experimental construction of self-dual codes, Finite Fields and Their Applications, Volume 9, Issue 3, July 2003, Pages 372-394.
• 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, A105676, A105677, A016729, A066016, A105681, A105682.

Cf. also A105686 for the numbers of such codes.