基数2中数字(0,m, 3)-网和数字(0,2)-序列的完全分类

Uniform distribution theory Pub Date : 2019-06-01 DOI:10.2478/udt-2019-0004

Roswitha Hofer, Kosuke Suzuki

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引用次数: 1

摘要

摘要给出了在\mathbb{F}_2^{m \乘以m}中生成基数为2的数字(0,m, 3)序列的所有矩阵C1,C2,C3∈C3∈ 2m×m {C_3} \的完全分类，以及在\mathbb{F}_2^{\mathbb{N} \乘以\mathbb{N}}中生成基数为2的数字(0,m, 3)序列的所有矩阵C1,C2∈C2∈λ 2∈∈∈mathbb{C_2} \的完全分类。

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

Abstract We give a complete classification of all matrices C1,C2,C3 ∈ C3∈𝔽 2m×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 C1,C2 ∈ C2∈𝔽 2ℕ×ℕ {C_2} \in \mathbb{F}_2^{\mathbb{N} \times \mathbb{N}} which generate a digital (0, 2)-sequence in base 2.

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Uniform distribution theory

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