A106161 Highest minimal Hamming distance of Hermitian self-dual codes over GF(2) X GF(2) and length n.

1, 2, 2, 2, 2, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 5, 5, 6, 5, 6, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8

Offset

1,2

Links

Table of n, a(n) for n=1..30.

K. Betsumiya, T. A. Gulliver and M. Harada, Extremal self-dual codes over F_2 X F_2, Designs, Codes Crypt. 28 (2003), 171-186.

K. Betsumiya and M. Harada, Optimal self-dual codes over F_2 X F_2 with respect to the Hamming weight, IEEE Trans. Inform. Theory 50 (2004), 356-358.

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.

Crossrefs

Cf. A106160.

Sequence in context: A049317 A134544 A230514 * A105588 A064658 A194292

Adjacent sequences: A106158 A106159 A106160 * A106162 A106163 A106164

Keyword

nonn,more

Author

N. J. A. Sloane, May 08 2005

Status

approved