The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A091327 Triangle T(n,k) read by rows giving number of inequivalent even binary linear [n,k] codes containing no zero columns (n >= 2, 1 <= k <= n-1). 1

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

%S 1,0,1,1,1,1,0,1,1,1,1,2,3,2,1,0,2,4,4,2,1,1,3,8,10,7,3,1,0,3,9,18,16,

%T 9,3,1

%N Triangle T(n,k) read by rows giving number of inequivalent even binary linear [n,k] codes containing no zero columns (n >= 2, 1 <= k <= n-1).

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

%C Difference between successive rows of A091325.

%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>

%e Triangle begins

%e 1

%e 0 1

%e 1 1 1

%e 0 1 1 1

%e 1 2 3 2 1

%e 0 2 4 4 2 1

%Y Cf. A091325. Row sums give A091328.

%K nonn,tabl,more

%O 2,12

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 13 20:33 EDT 2024. Contains 372522 sequences. (Running on oeis4.)