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A105676 Highest minimal Hamming distance of any Type 3 ternary self-dual code of length 4n. 21

%I #13 Apr 15 2019 03:24:03

%S 3,3,6,6,6,9,9,9,12,12,12,15,15,15,18,18

%N Highest minimal Hamming distance of any Type 3 ternary self-dual code of length 4n.

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977.

%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>).

%e The [12,6,6]_3 ternary Golay code has d=6, so a(3) = 6.

%Y Cf. A105674, A105675, A105677, A105678, A016729, A066016, A105681, A105682.

%Y Cf. also A105683.

%K nonn,more

%O 1,1

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

%E The sequence continues: a(17) = either 15 or 18, a(18) = 18, ...

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)