{
  "id": "1210.7721",
  "version": "v1",
  "published": "2012-10-29T16:34:10.000Z",
  "updated": "2012-10-29T16:34:10.000Z",
  "title": "Halton-type sequences from global function fields",
  "authors": [
    "Harald Niederreiter",
    "Anderson Siang Jing Yeo"
  ],
  "categories": [
    "math.NT",
    "q-fin.CP"
  ],
  "abstract": "For any prime power $q$ and any dimension $s$, a new construction of $(t,s)$-sequences in base $q$ using global function fields is presented. The construction yields an analog of Halton sequences for global function fields. It is the first general construction of $(t,s)$-sequences that is not based on the digital method. The construction can also be put into the framework of the theory of $(u,e,s)$-sequences that was recently introduced by Tezuka and leads in this way to better discrepancy bounds for the constructed sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-29T16:34:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K31",
      "11K38",
      "11K45",
      "14G15",
      "65C05"
    ],
    "keywords": [
      "global function fields",
      "halton-type sequences",
      "better discrepancy bounds",
      "first general construction",
      "digital method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11425-013-4623-z",
      "journal": "Science in China A: Mathematics",
      "year": 2013,
      "month": "Jul",
      "volume": 56,
      "number": 7,
      "pages": 1467
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013ScChA..56.1467N"
    }
  }
}