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A106165 Number of inequivalent (indecomposable or decomposable) Type I but not Type II binary self-dual codes of length 2n. 3

%I #13 Apr 15 2019 07:22:42

%S 0,1,1,1,1,2,3,4,5,9,16,25,46,103,261,731,3210,24147

%N Number of inequivalent (indecomposable or decomposable) Type I but not Type II binary self-dual codes of length 2n.

%C The minimal distance of these codes is not constrained. A105685 gives the number with the highest minimal distance.

%H R. T. Bilous and G. H. J. van Rees, <a href="https://doi.org/10.1023/A:1016544907275">An enumeration of binary self-dual codes of length 32</a>, Designs, Codes Crypt., 26 (2002), 61-86.

%H J. H. Conway and V. S. Pless, <a href="https://doi.org/10.1016/0097-3165(80)90057-6">On the enumeration of self-dual codes</a>, J. Comb. Theory, A28 (1980), 26-53. <a href="http://www.ams.org/mathscinet-getitem?mr=558873">MR0558873</a>

%H J. H. Conway, V. Pless and N. J. A. Sloane, The Binary Self-Dual Codes of Length Up to 32: A Revised Enumeration, J. Comb. Theory, A28 (1980), 26-53 (<a href="http://neilsloane.com/doc/pless.txt">Abstract</a>, <a href="http://neilsloane.com/doc/pless.pdf">pdf</a>, <a href="http://neilsloane.com/doc/pless.ps">ps</a>, <a href="http://neilsloane.com/doc/plesstaba.ps">Table A</a>, <a href="http://neilsloane.com/doc/plesstabd.ps">Table D</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 V. S. Pless, <a href="https://doi.org/10.1109/TIT.1978.1055966">The children of the (32,16) doubly even codes</a>, IEEE Trans. Inform. Theory, 24 (1978), 738-746.

%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. A003178, A003179, A106162-A106167.

%K nonn,hard,more

%O 0,6

%A _N. J. A. Sloane_, May 09 2005, Aug 23 2008

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)