{
  "id": "0903.2506",
  "version": "v1",
  "published": "2009-03-13T22:16:16.000Z",
  "updated": "2009-03-13T22:16:16.000Z",
  "title": "On k-simplexes in (2k-1)-dimensional vector spaces over finite fields",
  "authors": [
    "Le Anh Vinh"
  ],
  "comment": "FPSAC 2009",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that if the cardinality of a subset of the $(2k-1)$-dimensional vector space over a finite field with $q$ elements is $\\gg q^{2k-1-\\frac{1}{2k}}$, then it contains a positive proportional of all $k$-simplexes up to congruence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-13T22:16:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "k-simplexes",
      "dimensional vector space",
      "cardinality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.2506V"
    }
  }
}