Open AccessA Complete Classification of Digital (0,m, 3)-Nets and Digital (0, 2)-Sequences in Base 2
Author(s) -
Roswitha Hofer,
Kosuke Suzuki
Publication year - 2019
Publication title -
uniform distribution theory
Language(s) - English
Resource type - Journals
eISSN - 2309-5377
pISSN - 1336-913X
DOI - 10.2478/udt-2019-0004
Subject(s) - base (topology) , physics , combinatorics , crystallography , mathematics , chemistry , mathematical analysis
We give a complete classification of all matrices C 1 , C 2 , C 3 ∈ C 3 ∈ 2 m × m {C_3} \in \mathbb{F}_2^{m \times m} which generate a digital (0, m, 3)-net in base 2 and a complete classification of all matrices C 1 , C 2 ∈ C 2 ∈ 2 ℕ × ℕ {C_2} \in \mathbb{F}_2^{\mathbb{N} \times \mathbb{N}} which generate a digital (0, 2)-sequence in base 2.