Bound on Codes from Brouwer’s Database
Andries E. Brouwer’s online database of code parameters (http://www.win.tue.nl/~aeb/voorlincod.html, see also [1]) contains upper and lower bounds on the minimum distance of linear [s, n]-codes, with information available for codes up to a certain length s:
| Size of base field | 2 | 3 | 4 | 5 | 7 | 8 | 9 |
| Maximal s | 257 | 243 | 256 | 130 | 50 | 130 | 130 |
Since MinT does not evaluate the information about the construction method provided by Brouwer’s database, all codes are assumed to be non-constructive and all bounds are assumed to be applicable only to linear codes.
References
| [1] | Andries E. Brouwer. Bounds on the size of linear codes. In Vera S. Pless and W. Cary Huffman, editors, Handbook of Coding Theory, volume 1, pages 295–461. Elsevier Science, 1998. |
Copyright
Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Bound on Codes from Brouwer’s Database.”
From MinT—the database of optimal net, code, OA, and OOA parameters.
Version: 2024-09-05.
http://mint.sbg.ac.at/desc_CBrouwerTable-BoundNoKey.html