Some constructions of (t,m,s)-nets with improved parameters

Authors:
San Ling;Ferruh ÖZbudak
Affiliations:
Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Block 5 Level 3, 1 Nanyang Walk, Singapore 637616, Republic of Singapore;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Block 5 Level 3, 1 Nanyang Walk, Singapore 637616, Republic of Singapore and Depa ...
Venue:
Finite Fields and Their Applications
Year:
2008

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Abstract

We construct families of digital (t,m,s)-nets over F"4 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.