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

1,1

Comments

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

Links

Table of n, a(n) for n=1..15.

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.

Sequence in context: A177692 A098667 A279506 * A309195 A367026 A028397

Adjacent sequences: A105675 A105676 A105677 * A105679 A105680 A105681

Keyword

nonn,more

Author

N. J. A. Sloane, May 06 2005

Status

approved