Discarding Parts of the Base for OOAs

Given an ordered orthogonal array A with parameters OOA(M, s,Fpu, T , k), an OOA(M, s,Fp, T , k) Aʹ with 1 ≤ uʹ ≤ u can be constructed. If M is not a power of p, the resulting OOA listed by MinT is Aʹ duplicated pv times with v such that the number of runs is equal to the smallest power of p exceeding M.

Construction

Let φ : FpuFp denote an arbitrary surjective linear mapping. The resulting OOA Aʹ is obtained from A as

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

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. “Discarding Parts of the Base for OOAs.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04. http://mint.sbg.ac.at/desc_OBDiscarding.html

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