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!)
A060438 Triangle T(n,k), 1 <= k <= n, giving maximal size of binary code of length n and covering radius k. 5

%I #15 Apr 11 2017 09:10:43

%S 1,2,1,2,2,1,4,2,2,1,7,2,2,2,1,12,4,2,2,2,1,16,7,2,2,2,2,1,32,12,4,2,

%T 2,2,2,1,62,16,7,2,2,2,2,2,1

%N Triangle T(n,k), 1 <= k <= n, giving maximal size of binary code of length n and covering radius k.

%D G. D. Cohen et al., Covering Codes, North-Holland, 1997, p. 166.

%H W. Haas, <a href="http://dx.doi.org/10.1016/S0012-365X(00)00461-1">Binary and ternary codes of covering radius one: some new lower bounds</a>, Discrete Math., 245 (2002), 161-178.

%H Gerzson Kéri, <a href="http://old.sztaki.hu/~keri/codes/">Tables for Bounds on Covering Codes</a>.

%H <a href="/index/Coa#covcod">Index entries for sequences related to covering codes</a>

%e Triangle starts:

%e 1;

%e 2,1;

%e 2,2,1;

%e 4,2,2,1;

%e 7,2,2,2,1;

%e ...

%Y Columns give A000983, A029866. Cf. A060439, A060440.

%K nonn,tabl,nice,more

%O 1,2

%A _N. J. A. Sloane_, Apr 07 2001

%E Row 9 from _Andrey Zabolotskiy_, Apr 11 2017 using Gerzson Kéri's tables.

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 April 25 09:11 EDT 2024. Contains 371964 sequences. (Running on oeis4.)