login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Total number of inequivalent even binary linear codes of length n and any dimension k = 0, 1, ..., n-1.
1

%I #9 Oct 04 2012 10:28:49

%S 1,2,3,6,9,18,31,64,123

%N Total number of inequivalent even binary linear codes of length n and any dimension k = 0, 1, ..., n-1.

%C "Even" means that every word has even weight. Equivalently, the all-ones vector is in the dual code.

%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 <a href="/index/Coa#codes_binary_linear">Index entries for sequences related to binary linear codes</a>

%Y Row sums of A091325.

%K nonn,more

%O 1,2

%A _N. J. A. Sloane_, Mar 01 2004