A105682 Highest minimal Euclidean norm of any Type 4^Z self-dual code of length n over Z/4Z.

4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 16

Offset: 1

Author

N. J. A. Sloane, May 06 2005

Keywords

• nonn
• more

Links

• 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.

A105689 gives number of such codes. Cf. also A066014.