An extension of the digital method based on $b$-adic integers

Abstract

We introduce a hybridization of digital sequences with uniformly distributed sequences in the domain of $b$-adic integers, ${\mathbb{Z}}_b,b\in \mathbb{N}\setminus \{1\}$, by using such sequences as input for generating matrices. The generating matrices are then naturally required to have finite row-lengths. We exhibit some relations of the `classical' digital method to our extended version, and also give several examples of new constructions with their respective quality assessments in terms of $t,\mathbf{T}$ and discrepancy.

17 pages, 2 figures