{
  "id": "1307.7252",
  "version": "v2",
  "published": "2013-07-27T12:00:03.000Z",
  "updated": "2014-01-23T11:15:44.000Z",
  "title": "Fuchsian codes for AWGN channels",
  "authors": [
    "Iván Blanco-Chacón",
    "Dionís Remón",
    "Camilla Hollanti",
    "Montserrat Alsina"
  ],
  "comment": "This is an extended version of a work with the same title which has been already published in the Proceedings of the Workshop on Cryptography and Coding Theory (Bergen, 2013). I particular, it contains extra material on the generation of the constellation. In the first version, there were some simulation errors that have now been corrected",
  "categories": [
    "cs.IT",
    "math.IT"
  ],
  "abstract": "We develop a new transmission scheme for additive white Gaussian noisy (AWGN) single-input single-output (SISO) channels without fading based on arithmetic Fuchsian groups. The properly discontinuous character of the action of these groups on the upper half-plane translates into logarithmic decoding complexity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-23T11:15:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "awgn channels",
      "fuchsian codes",
      "additive white gaussian noisy",
      "arithmetic fuchsian groups",
      "upper half-plane translates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7252B"
    }
  }
}