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!)
A105677 Highest minimal Hamming distance of any Type 4^E Euclidean linear self-dual code over GF(4) of length 2n. 19

%I #11 Apr 15 2019 18:37:11

%S 2,3,3,4,4,6,6,6

%N Highest minimal Hamming distance of any Type 4^E Euclidean linear self-dual code over GF(4) of length 2n.

%C There is a related sequence which is presently too short to include: Highest minimal Lee distance of any Type (4^E)_II Euclidean linear even self-dual code over GF(4) of length 4n. This begins 4, 4, 8, 8, 8, then either 8 or 12, 12, 12, ...

%C The sequence continues: a(9) = either 6 or 7, a(10) = a(11) = 8, a(12) = 8, 9 or 10, ...

%D P. Gaborit and A. Otmani, Experimental construction of self-dual codes, Preprint.

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

%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, A105678, A016729, A066016, A105681, A105682.

%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 May 8 23:08 EDT 2024. Contains 372341 sequences. (Running on oeis4.)