Codes by Danev and Olsson

Let b ≥ 4 denote a prime power. In [1] it is shown that the narrow sense BCH code with length b(b−1) + 1 and defining interval [0, 1] over Fb is has minimum distance 6, i.e., the resulting code is a

[b(b – 1) + 1, b(b – 1) – 6, 6] - code

over Fb.

See Also


[1]Danyo Danev and Jonas Olsson.
On a sequence of cyclic codes with minimum distance six.
IEEE Transactions on Information Theory, 46(2):673–674, March 2000.
doi:10.1109/18.825840 MR1748995 (2001a:94041)
[2]Jürgen Bierbrauer.
Introduction to Coding Theory.
Discrete Mathematics and its Applications. Chapman & Hall/CRC, Boca Raton, London, New York, Washington D.C., 2004.
MR2079734 (2005f:94001)


Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Codes by Danev and Olsson.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2015-09-03.

Show usage of this method