Some constructions of (t, m, s)-nets with improved parameters
We construct families of digital (t, m, s)-nets over F4 improving the best known parameters of (t, m, s)-nets. We also improve the bound of Niederreiter and Xing in the asymptotic theory of digital (t, m, s)-nets.
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sg-ntu-dr.10356-964092023-02-28T19:40:16Z Some constructions of (t, m, s)-nets with improved parameters Ling, San Özbudak, Ferruh School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Discrete mathematics::Theory of computation We construct families of digital (t, m, s)-nets over F4 improving the best known parameters of (t, m, s)-nets. We also improve the bound of Niederreiter and Xing in the asymptotic theory of digital (t, m, s)-nets. Accepted version 2013-04-23T07:17:14Z 2019-12-06T19:30:14Z 2013-04-23T07:17:14Z 2019-12-06T19:30:14Z 2007 2007 Journal Article Ling, S., & Özbudak, F. (2007). Some constructions of (t, m, s)-nets with improved parameters. Finite Fields and Their Applications, 14(3), 658-675. 10715797 https://hdl.handle.net/10356/96409 http://hdl.handle.net/10220/9853 10.1016/j.ffa.2007.09.007 en Finite fields and their applications © 2007 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Finite Fields and Their Applications, Elsevier Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.ffa.2007.09.007]. application/pdf |
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DRNTU::Science::Mathematics::Discrete mathematics::Theory of computation |
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DRNTU::Science::Mathematics::Discrete mathematics::Theory of computation Ling, San Özbudak, Ferruh Some constructions of (t, m, s)-nets with improved parameters |
| description |
We construct families of digital (t, m, s)-nets over F4 improving the best known parameters of (t, m, s)-nets. We also improve the bound of Niederreiter and Xing in the asymptotic theory of digital (t, m, s)-nets. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Ling, San Özbudak, Ferruh |
| format |
Article |
| author |
Ling, San Özbudak, Ferruh |
| author_sort |
Ling, San |
| title |
Some constructions of (t, m, s)-nets with improved parameters |
| title_short |
Some constructions of (t, m, s)-nets with improved parameters |
| title_full |
Some constructions of (t, m, s)-nets with improved parameters |
| title_fullStr |
Some constructions of (t, m, s)-nets with improved parameters |
| title_full_unstemmed |
Some constructions of (t, m, s)-nets with improved parameters |
| title_sort |
some constructions of (t, m, s)-nets with improved parameters |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/96409 http://hdl.handle.net/10220/9853 |
| _version_ |
1759853749560410112 |