Depth Reduction

Given a (linear) ordered orthogonal array OOA(M, s, Sb, T , k) with (T – 1)sk, a (linear) OOA(M, s, Sb, T −1, k) can be constructed.

The Construction for OOAs

The new OOA Aʹ is obtained by discarding the columns for depth T from the original array A, i.e., as

Aʹ := {(xi,1,…, xi,T −1)i=1,…, s  :  xA}.

If A is linear, a generator matrix of Aʹ is obtained by dropping the columns for depth T from the generator matrix of A.

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

Show usage of this method