{
  "id": "1312.5855",
  "version": "v1",
  "published": "2013-12-20T08:54:39.000Z",
  "updated": "2013-12-20T08:54:39.000Z",
  "title": "Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences",
  "authors": [
    "Peter Kritzer",
    "Harald Niederreiter"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The classes of $(u,m,{\\bf e},s)$-nets and $(u,{\\bf e},s)$-sequences were recently introduced by Tezuka, and in a slightly more restrictive form by Hofer and Niederreiter. We study propagation rules for these point sets, which state how one can obtain $(u,m,{\\bf e},s)$-nets and $(u,{\\bf e},s)$-sequences with new parameter configurations from existing ones. In this way, we show generalizations and extensions of several well-known construction methods that have previously been shown for $(t,m,s)$-nets and $(t,s)$-sequences. We also develop a duality theory for digital $(u,m,{\\bf e},s)$-nets and present a new construction of such nets based on global function fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-20T08:54:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K31",
      "11K38",
      "65C05"
    ],
    "keywords": [
      "well-known construction methods",
      "study propagation rules",
      "global function fields",
      "point sets",
      "duality theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5855K"
    }
  }
}