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A105686 Number of inequivalent codes attaining highest minimal Hamming distance of any Type 4^H Hermitian linear self-dual code over GF(4) of length 2n. 1

%I

%S 1,1,1,1,2,5,1,4,1,2

%N Number of inequivalent codes attaining highest minimal Hamming distance of any Type 4^H Hermitian linear self-dual code over GF(4) of length 2n.

%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/10.1109/18.54885">On extremal self-dual quaternary codes of lengths 18 to 28. I</a>, IEEE Trans. Infor. Theory, 36 (1990), 651-660.

%H W. C. Huffman, <a href="https://doi.org/10.1109/18.86976">On extremal self-dual quaternary codes of lengths 18 to 28. II</a>, IEEE Trans. Infor. Theory, 37 (1991), 1206-1216.

%H W. C. Huffman, <a href="https://doi.org/10.1109/18.54886">On 3-elements in monomial automorphism groups of quaternary codes</a>, IEEE Trans. Infor. Theory, 36 (1990), 660-664.

%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, A105682.

%Y A105678 gives the minimal distance of these codes.

%K nonn,more

%O 1,5

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

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Last modified September 21 17:46 EDT 2019. Contains 327273 sequences. (Running on oeis4.)