OOA Folding

Given a (linear) ordered orthogonal array OOA(M, us, S_b, T , k) with u ≥ 1 a (linear) OOA(M, s, S_b, T ʹ, k) with T ʹ ≤ uT can be constructed.

If T ʹ = uT , the new OOA Aʹ is obtained from A by combining u blocks to a single block. Formally,

For T ʹ < uT , the final result is obtained using depth reduction.

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

See Also

• If uT ≥ ⌊k/2⌋, OOA folding and stacking with additional row can be used, which allows an arbitrarily large T ʹ.

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