{
  "id": "2003.09233",
  "version": "v1",
  "published": "2020-03-20T12:40:08.000Z",
  "updated": "2020-03-20T12:40:08.000Z",
  "title": "New Steiner systems from old ones by paramodifications",
  "authors": [
    "Dávid Mezőfi",
    "Gábor P. Nagy"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The main result of this paper is a general construction which produces new Steiner systems (2-designs) from old ones with the same parameters. We call this construction paramodification of Steiner systems, since it modifies the parallelism of a subsystem. We study in more details the paramodifications of affine planes, Steiner triple systems and unitals. We present computational results which show that many new unitals can be constructed by paramodification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-20T12:40:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B05",
      "51E05"
    ],
    "keywords": [
      "steiner systems",
      "steiner triple systems",
      "main result",
      "construction paramodification",
      "computational results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}