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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, 4, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 5 17:20 EDT 2021. Contains 346488 sequences. (Running on oeis4.)