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


[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 © 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: 2008-04-04.

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