{
  "id": "1602.05446",
  "version": "v1",
  "published": "2016-02-17T15:10:18.000Z",
  "updated": "2016-02-17T15:10:18.000Z",
  "title": "Classification of quasi-symmetric 2-(64,24,46) designs of Blokhuis-Haemers type",
  "authors": [
    "Dean Crnkovic",
    "Bernardo Rodrigues",
    "Sanja Rukavina",
    "Vladimir D. Tonchev"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "This paper completes the classification of quasi-symmetric 2-$(64,24,46)$ designs of Blokhuis-Haemers type supported by the dual code $C^{\\perp}$ of the binary linear code $C$ spanned by the lines of $AG(3,2^2)$ initiated in \\cite{bgr-vdt}. It is shown that $C^{\\perp}$ contains exactly 30,264 nonisomorphic quasi-symmetric 2-$(64,24,46)$ designs obtainable from maximal arcs in $AG(2,2^2)$ via the Blokhuis-Haemers construction. The related strongly regular graphs are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-17T15:10:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "B05",
      "94B05"
    ],
    "keywords": [
      "blokhuis-haemers type",
      "classification",
      "binary linear code",
      "paper completes",
      "related strongly regular graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}