Arbitrary OA / Dual of Arbitrary Code

A linear orthogonal array OA(bm, s, Sb, k) with strength k = 0 exists for all m and all sm. Its dual is a linear [s, sm, 1]-code over Fq.

The OA (Arbitrary OA)

Every OA(bm, s, Sb, k) has strength k = 0. It can be generated by any m×s-matrix over Fb with full rank, e.g. by the first m rows of the s×s-identity matrix.

Its Dual Code (Arbitrary Code)

Every non-singular n×s-matrix over Fb defines an [s, n, 1]-code over Fb.

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. “Arbitrary OA / Dual of Arbitrary Code.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04. http://mint.sbg.ac.at/desc_CK0.html

Show usage of this method