A066014 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.

4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12

Offset

1,1

Links

Table of n, a(n) for n=1..24.

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. A066015 for number of codes. See also A066012-A066017.

Sequence in context: A088899 A258199 A290205 * A080678 A096300 A333534

Adjacent sequences: A066011 A066012 A066013 * A066015 A066016 A066017

Keyword

nonn,more

Author

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

Status

approved