{
  "id": "1209.4581",
  "version": "v2",
  "published": "2012-09-20T16:44:00.000Z",
  "updated": "2012-12-10T20:31:21.000Z",
  "title": "On unit weighing matrices with small weight",
  "authors": [
    "Darcy Best",
    "Hadi Kharaghani",
    "Hugh Ramp"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the structure of unit weighing matrices of order n and weights 2, 3 and 4. We show that the number of inequivalent unit weighing matrices UW(n,4) depends on the number of decompositions of n into sums of non-negative multiples of some specific positive integers. We also show two interesting sporadic cases in order to show the complexities involved for weights larger than 4.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-10T20:31:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small weight",
      "inequivalent unit weighing matrices uw",
      "weights larger",
      "specific positive integers",
      "interesting sporadic cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4581B"
    }
  }
}