An Extension of the Digital Method Based on b-Adic Integers

Author:

Hofer Roswitha1,Pirsic Ísabel1

Affiliation:

1. Institute of Financial Mathematics and Applied Number Theory , Johannes Kepler University Linz , Altenbergerstr. 69, A-4040 Linz , Austria

Abstract

Abstract We introduce a hybridization of digital sequences with uniformly distributed sequences in the domain of b-adic integers, ℤb,b ∈ℕ \ {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, T and discrepancy.

Publisher

Walter de Gruyter GmbH

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