{
  "id": "2010.01366",
  "version": "v1",
  "published": "2020-10-03T14:16:42.000Z",
  "updated": "2020-10-03T14:16:42.000Z",
  "title": "Properties of Rotational Symmetric multiple valued functions and their Reed-Muller-Fourier spectra",
  "authors": [
    "Claudio Moraga"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The concept of rotation symmetric functions from the Boolean domain is extended to the multiple-valued (MV) domain. It is shown that symmetric functions are a subset of the rotation symmetric functions. Functions exhibiting these kinds of symmetry may be given a compact value vector representation. It is shown that the Reed-Muller-Fourier spectrum of a function preserves the kind of symmetry and therefore it may be given a compact vector representation of the same length as the compact value vector of the corresponding function. A method is presented for calculating the RMF spectrum of symmetric and rotation symmetric functions from their compact representations. Examples are given for 3-valued and 4-valued functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-03T14:16:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R99",
      "65T99",
      "G.2.3"
    ],
    "keywords": [
      "rotational symmetric multiple valued functions",
      "reed-muller-fourier spectrum",
      "rotation symmetric functions",
      "compact value vector representation",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}