For any prime power q and any dimension s, a new construction of (t,s)-sequences in base q using global function fields is presented. The construction yields an analog of Halton sequences for global function fields. It is the first general construction of (t,s)
Nearby in the stack
-sequences that is not based on the digital method. The construction can also be put into the framework of the theory of
(u,e,s)
-sequences that was recently introduced by Tezuka and leads in this way to better discrepancy bounds for the constructed sequences.