A066015 Number of codes having highest minimal Euclidean norm of any Type 4^Z self-dual code of length n over Z/4Z which does not have all Euclidean norms divisible by 8, that is, is strictly Type I. Compare A105682.

1, 1, 1, 2, 2, 3, 4, 6, 11, 16, 19, 19, 66, 35, 28

Offset

1,4

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

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. A066014 for minimal weight. See also A066012-A066017.

Sequence in context: A032245 A013588 A108150 * A065482 A323481 A319638

Adjacent sequences: A066012 A066013 A066014 * A066016 A066017 A066018

Keyword

nonn

Author

N. J. A. Sloane, Dec 12 2001; revised May 06 2005

Status

approved