{
  "id": "1603.02025",
  "version": "v1",
  "published": "2016-03-07T12:23:59.000Z",
  "updated": "2016-03-07T12:23:59.000Z",
  "title": "Construction of 3-Designs Using (1,σ)-Resolution",
  "authors": [
    "Trung Van Tran"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The paper deals with recursive constructions for simple 3-designs based on other 3-designs having $(1, \\sigma)$-resolution. The concept of $(1, \\sigma)$-resolution may be viewed as a generalization of the parallelism for designs. We show the constructions and their applications to produce many previously unknown infinite families of simple 3-designs. We also include a discussion of $(1,\\sigma)$-resolvability of the constructed designs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-07T12:23:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B05"
    ],
    "keywords": [
      "unknown infinite families",
      "paper deals",
      "resolution",
      "generalization",
      "parallelism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160302025V"
    }
  }
}