Adelic constructions of low discrepancy sequences

In [Fr2, Skr], Frolov and Skriganov showed that low discrepancy point sets in the multidimensional unit cube \([0,1)^s\) can be obtained from admissible lattices in \( \mathbb{R}^s \). In this paper, we get a similar result for the case of \( (\mathbb{F}_q((x^{-1})))^s \). Then we combine this approach with Halton’s construction of low discrepancy sequences.