{
  "id": "0807.2690",
  "version": "v1",
  "published": "2008-07-17T17:26:39.000Z",
  "updated": "2008-07-17T17:26:39.000Z",
  "title": "On the number of orthogonal systems in vector spaces over finite fields",
  "authors": [
    "Le Anh Vinh"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Iosevich and Senger (2008) showed that if a subset of the d-dimensional vector space over a finite field is large enough, then it contains many k-tuples of mutually orthogonal vectors. In this note, we provide a graph theoretic proof of this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-17T17:26:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "orthogonal systems",
      "graph theoretic proof",
      "d-dimensional vector space",
      "mutually orthogonal vectors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2690V"
    }
  }
}