{
  "id": "1807.04383",
  "version": "v1",
  "published": "2018-07-12T00:10:24.000Z",
  "updated": "2018-07-12T00:10:24.000Z",
  "title": "Characterization of digital $(0,m,3)$-nets and digital $(0,2)$-sequences in base $2$",
  "authors": [
    "Roswitha Hofer",
    "Kosuke Suzuki"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "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 $2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-12T00:10:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K31",
      "11K38"
    ],
    "keywords": [
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}