Trace Code

Every (linear) orthogonal array OA(M, s, Sbuk) yields a (linear) OA(M, us, Sb, k) for all u ≥ 1. Correspondingly, every linear [s, n, d]-code over Fbu with u ≥ 1 yields a linear [us, un, d]-code over Fb.

This construction can also be interpreted as concatenation with a [u, u, 1]-code without redundancy over Fb.

See Also

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. “Trace Code.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04. http://mint.sbg.ac.at/desc_CTrace.html

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