t-Expansion for Sequences

It follows directly from the definition of (t, s)-sequences and from t-expansion for nets that every (digital) (t, s)-sequence is also a (digital) (tʹ, s)-sequence in the same base for all tʹ ≥ t. [1, Lemma 2.6 (ii)]

See Also

• Corresponding result for orthogonal arrays and codes and OOAs

• Corresponding result for nets

References

[1]	Harald Niederreiter. Point sets and sequences with small discrepancy. Monatshefte für Mathematik, 104(4):273–337, December 1987. doi:10.1007/BF01294651 MR918037 (89c:11120)

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. “t-Expansion for Sequences.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2024-09-05. http://mint.sbg.ac.at/desc_SKRed.html