{
  "id": "math/0605104",
  "version": "v1",
  "published": "2006-05-03T19:43:49.000Z",
  "updated": "2006-05-03T19:43:49.000Z",
  "title": "Asymptotics for the number of n-quasigroups of order 4",
  "authors": [
    "Vladimir Potapov",
    "Denis Krotov"
  ],
  "comment": "15 p., 3 fig",
  "journal": "Sib. Math. J. 47(4) 2006, 720-731. Transl. from Sib. Mat. Zh. 47(4) 2006, 873-887 (Russian)",
  "doi": "10.1007/s11202-006-0083-9",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "The asymptotic form of the number of n-quasigroups of order 4 is $3^{n+1} 2^{2^n +1} (1+o(1))$. Keywords: n-quasigroups, MDS codes, decomposability, reducibility.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-03T19:43:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20N15",
      "05B15",
      "94B25"
    ],
    "keywords": [
      "n-quasigroups",
      "asymptotic form",
      "mds codes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5104P"
    }
  }
}