Appending kth Column

Given a (linear) ordered orthogonal array OOA(M, s, Sb, k−1, k) with k ≥ 2, a (linear) OOA(M, s, Sb, k, k) can be constructed.

Construction

The new OOA Aʹ is constructed as follows base on A: Let σ denote a permutation of {1,…, s} without fixed points. Then Aʹ is given by

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

If A is linear, a generator matrix of Aʹ can be obtained in a similar way.

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

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