Appending Arbitrary Columns

Given a (linear) ordered orthogonal array OOA(M, s, S_b, T , k) with T ≥ k, a (linear) OOA(M, s, S_b, T + 1, k) can be constructed.

Since the entries in depth T + 1 are irrelevant for strength k ≤ T < T + 1, the new OOA is obtained by appending arbitrary entries for depth T + 1.

See Also

• This process can be reversed by depth reduction, therefore OOAs with depth T ≥ k and depth T + 1 are equivalent.

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 Arbitrary Columns.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2015-09-03. http://mint.sbg.ac.at/desc_OFillup.html