A091328 - OEIS

%I #8 Oct 04 2012 10:28:49

%S 0,1,1,3,3,9,13,33,59

%N Total number of inequivalent even binary linear codes of length n and any dimension k = 0, 1, ..., n-1, with no column of zeros.

%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 A091327.

%K nonn,more

%O 1,4

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