A105689 Number of codes having highest minimal Euclidean norm of any Type 4^Z self-dual code of length n over Z/4Z.

1, 1, 1, 2, 2, 3, 4, 1, 11, 16, 19, 19, 66, 35, 28

Offset

1,4

Comments

There are two versions of this sequence, this and A111263. I am not sure which is correct.

Links

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

S. T. Dougherty, M. Harada and P. Solé, Shadow Codes over Z_4, Finite Fields Applic., 7 (2001), 507-529.

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, A105676, A105677, A105678, A016729, A066016, A105681, A105682.

Cf. A105682 for minimal distance. See also A066012-A066017.

Sequence in context: A119473 A336889 A002122 * A351080 A187200 A352340

Adjacent sequences: A105686 A105687 A105688 * A105690 A105691 A105692

Keyword

nonn,more

Author

N. J. A. Sloane, Dec 12 2001

Status

approved