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

Roswitha Hofer; Ísabel Pirsic

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arXiv · 1706.06323

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

Roswitha Hofer·Ísabel Pirsic

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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.

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Roswitha Hofer, Ísabel Pirsic. 2017-06-20. An extension of the digital method based on $b$-adic integers. https://arxiv.org/abs/1706.06323

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