Niederreiter–Xing Sequence Construction II/III

In [1] and [2] Niederreiter and Xing develop two methods (Niederreiter-Xing (NX) sequence construction II and III) for creating a digital (t, s)-sequence over Fb based on an algebraic function field with full constant field Fb, genus t, and containing at least s + 1 rational places. NX sequence construction III is constructive, assuming that defining equations for the function field are given and that s + 1 rational places are known.

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)
[2]Chaoping Xing and Harald Niederreiter.
A construction of low-discrepancy sequences using global function fields.
Acta Arithmetica, 73(1):87–102, 1995.
MR1358190 (96g:11096)
[3]Andrew T. Clayman, Kenneth Mark Lawrence, Gary L. Mullen, Harald Niederreiter, and Neil J. A. Sloane.
Updated tables of parameters of (t, m, s)-nets.
Journal of Combinatorial Designs, 7(5):381–393, 1999.
doi:10.1002/(SICI)1520-6610(1999)7:5<381::AID-JCD7>3.0.CO;2-S MR1702298 (2000d:05014)


Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Niederreiter–Xing Sequence Construction II/III.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04.

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