Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 14, Issue 1


Published
on

August 22, 2018


Pages

43-52


DOI

Article

A Complete Classification of Digital (0, M, 3)-Nets and Digital (0, 2)-Sequences in Base 2

Check for updates


Authors

Roswitha Hofer Affiliation:
Institute of Financial Mathematics and Applied Number Theory Johannes Kepler University Linz Altenbergerstr. 69, 4040 Linz AUSTRIA
and Kosuke Suzuki Affiliation:
Graduate School of Science Hiroshima University 1-3-1 Kagamiyama Higashi-Hiroshima, 739-8526 JAPAN JSPS Research Fellow


Abstract

We give a complete classification of all matrices C 1 , C 2 , C 3 ∈ Fm 2 ×m which generate a digital (0, m, 3)-net in base 2 and a complete classification of all matrices C 1 , C 2 ∈ F 2 N×N which generate a digital (0, 2)-sequence in base 2.


Keywords

digital nets, digital sequences, classification of generating matrices.


Citation

Hofer, R. & Suzuki, K. (2019). A complete classification of digital (0, m, 3)-Nets and digital (0, 2)-Sequences in base 2. Uniform Distribution Theory, 14(1), 43–52. https://doi.org/10.2478/udt-2019-0004
2 Total citations
0.00 FWCI
1 Recent citations
(2 years)
9 References
Open Access Yes
View full metrics

Published by: Engineering Journals

Engineering Journals Logo