login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105682 Highest minimal Euclidean norm of any Type 4^Z self-dual code of length n over Z/4Z. 20

%I #18 Dec 13 2019 05:20:05

%S 4,4,4,4,4,4,4,8,4,4,4,8,4,8,8,8,8,8,8,8,8,8,12,16

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

%H S. T. Dougherty, M. Harada and P. Solé, <a href="http://academic.uofs.edu/faculty/Doughertys1/publ.htm">Shadow Codes over Z_4</a>, Finite Fields Applic., 7 (2001), 507-529.

%H P. Gaborit, <a href="http://www.unilim.fr/pages_perso/philippe.gaborit/SD/">Tables of Self-Dual Codes</a>

%H W. C. Huffman, <a href="https://doi.org/10.1016/j.ffa.2005.05.012">On the classification and enumeration of self-dual codes</a>, Finite Fields Applic., 11 (2005), 451-490.

%H G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.

%H E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998; (<a href="http://neilsloane.com/doc/self.txt">Abstract</a>, <a href="http://neilsloane.com/doc/self.pdf">pdf</a>, <a href="http://neilsloane.com/doc/self.ps">ps</a>).

%Y Cf. A105674, A105675, A105676, A105677, A105678, A016729, A066016, A105681.

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

%K nonn,more

%O 1,1

%A _N. J. A. Sloane_, May 06 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 12:08 EDT 2024. Contains 371912 sequences. (Running on oeis4.)