A066016 Highest minimal Hamming distance of any Type 4^Z self-dual code of length n over Z/4Z.

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

Offset

1,4

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

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, A105681, A105682.

Cf. A066017 for number of codes. See also A066012-A066017, A098068.

Sequence in context: A316231 A014781 A214500 * A098068 A194070 A195183

Adjacent sequences: A066013 A066014 A066015 * A066017 A066018 A066019

Keyword

nonn,more

Author

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

Status

approved