Trace Code

Every (linear) orthogonal array OA(M, s, S_b^uk) yields a (linear) OA(M, us, S_b, k) for all u ≥ 1. Correspondingly, every linear [s, n, d]-code over F_b^u with u ≥ 1 yields a linear [us, un, d]-code over F_b.

This construction can also be interpreted as concatenation with a [u, u, 1]-code without redundancy over F_b.

See Also

• Generalization for arbitrary OOAs

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. “Trace Code.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2024-09-05. http://mint.sbg.ac.at/desc_CTrace.html