{
  "id": "2102.03651",
  "version": "v1",
  "published": "2021-02-06T19:46:36.000Z",
  "updated": "2021-02-06T19:46:36.000Z",
  "title": "Toric Codes from Order Polytopes",
  "authors": [
    "Mahir Bilen Can",
    "Takayuki Hibi"
  ],
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this article we investigate a class of linear error correcting codes in relation with the order polytopes. In particular we consider the order polytopes of tree posets and bipartite posets. We calculate the parameters of the associated toric variety codes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-06T19:46:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "order polytopes",
      "toric codes",
      "associated toric variety codes",
      "linear error correcting codes",
      "bipartite posets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}