Characterization of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866914171498528768 |
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| author | Hofer, Roswitha Suzuki, Kosuke |
| author_facet | Hofer, Roswitha Suzuki, Kosuke |
| contents | We give a characterization of all matrices $A,B,C \in \mathbb{F}_{2}^{m \times m}$ which generate a $(0,m,3)$-net in base $2$ and a characterization of all matrices $B,C\in\mathbb{F}_{2}^{\mathbb{N}\times\mathbb{N}}$ which generate a $(0,2)$-sequence in base $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_04383 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Characterization of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$ Hofer, Roswitha Suzuki, Kosuke Number Theory 11K31, 11K38 We give a characterization of all matrices $A,B,C \in \mathbb{F}_{2}^{m \times m}$ which generate a $(0,m,3)$-net in base $2$ and a characterization of all matrices $B,C\in\mathbb{F}_{2}^{\mathbb{N}\times\mathbb{N}}$ which generate a $(0,2)$-sequence in base $2$. |
| title | Characterization of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$ |
| topic | Number Theory 11K31, 11K38 |
| url | https://arxiv.org/abs/1807.04383 |