Strength Reduction

It follows directly from the definition of orthogonal arrays that every (linear) OA(M, s, S_b, k) is also a (linear) OA(M, s, S_b, kʹ) for all kʹ = 0,…, k.

In the context of codes, every (linear) (s, N, d)-code is also a (linear) (s, N, dʹ)-code over the same alphabet for all dʹ = 1,…, d.

See Also

• Generalization for arbitrary OOAs

• Corresponds result for nets and sequences

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