{
  "id": "0804.1740",
  "version": "v1",
  "published": "2008-04-10T15:57:38.000Z",
  "updated": "2008-04-10T15:57:38.000Z",
  "title": "Pseudo Quasi-3 Designs and their Applications to Coding Theory",
  "authors": [
    "Carl Bracken"
  ],
  "comment": "9 pages, submitted to the European Journal of Comniatorics",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi-3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-10T15:57:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coding theory",
      "construct optimal self complementary codes",
      "applications",
      "residual designs",
      "grey rankin bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.1740B"
    }
  }
}