Depth Reduction
Given a (linear) ordered orthogonal array OOA(M, s, Sb, T , k) with (T – 1)s ≥ k, 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
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
Discarding a different set of columns leads to the propagation rule discarding factors
If T ≥ k, this process can be reversed using appending kth column for T > k.
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: 2024-09-05.
http://mint.sbg.ac.at/desc_ODepthReduction.html