An Extension of the Digital Method Based on b-Adic Integers
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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.
Language: English
Page range: 87 - 107
Submitted on: Jun 19, 2017
Accepted on: Nov 21, 2017
Published on: Jul 20, 2018
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
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© 2018 Roswitha Hofer, Ísabel Pirsic, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.