{
  "annotation_id": "c8b720ae-d41d-4050-a061-d4cf25a0a791",
  "date_created": "2026-03-02T18:01:18.552000Z",
  "date_modified": "2026-03-02T18:01:18.552000Z",
  "file_hash": "33dcc545bb0a24568a835270cb4d0f4fca5adda36196494c12b7ab86c10ab081",
  "private": false,
  "record": {
    "abstract": "We analyze the structure of the periodic trajectories of the K-system\ngenerator of pseudorandom numbers on rational sublattice which coincides with\nthe Galois field. The period of the trajectories increases as a function of\nlattice size and the dimension of the K-matrix. We emphasize the connection of\nthis approach with the one which is based on primitive matrices over Galois\nfields.",
    "arxiv_id": "physics/9703024",
    "authors": [
      "G. G. Athanasiu",
      "E. G. Floratos",
      "G. K. Savvidy"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1142/S0129183197000448",
    "title": "K-system generator of pseudorandom numbers on Galois field",
    "url": "https://arxiv.org/abs/physics/9703024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd051925-5369-4ef2-8d3b-7ed8e3d419f1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}