Base Expansion for Sequences
Every (ut, s)-sequence in base b with u ≥ 1 is also a (t, s)-sequence in base bu. This result follows immediately from the corresponding result for (t, m, s)-nets. See also [1, Proposition 5].
In general the resulting sequence is not digital.
See Also
Corresponding result for nets
References
| [1] | Harald Niederreiter and Chaoping Xing. Low-discrepancy sequences and global function fields with many rational places. Finite Fields and Their Applications, 2(3):241–273, July 1996. doi:10.1006/ffta.1996.0016 MR1398076 (97h:11080) |
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. “Base 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_SBExp.html