{
  "id": "1905.09081",
  "version": "v1",
  "published": "2019-05-22T11:36:08.000Z",
  "updated": "2019-05-22T11:36:08.000Z",
  "title": "The Steiner triple systems of order 21 with a transversal subdesign TD(3,6)",
  "authors": [
    "Minjia Shi",
    "Yue Guan",
    "Denis S. Krotov"
  ],
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "We prove several structural properties of Steiner triple systems (STS) of order 3w+3 that include one or more transversal subdesigns TD(3,w). Using an exhaustive search, we find that there are 2004720 isomorphism classes of STS(21) including a subdesign TD(3,6), or, equivalently, a 6-by-6 latin square.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-22T11:36:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E10"
    ],
    "keywords": [
      "steiner triple systems",
      "transversal subdesign td",
      "transversal subdesigns td",
      "structural properties",
      "isomorphism classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}