[
  {
    "id": "lpn-lyubashevsky2005-amplification",
    "categoryId": "lpn-polynomial-samples",
    "paperId": "lyubashevsky2005-parity-noise",
    "date": "2005-12-31",
    "datePrecision": "year",
    "year": 2005,
    "time": {
      "coefficient": null,
      "expression": "2^{O(n/log₂ log₂ n)}"
    },
    "space": {
      "coefficient": null,
      "expression": "Not separately normalized"
    },
    "tags": [
      "classical",
      "provable",
      "LPN",
      "polynomial samples"
    ],
    "review": {
      "status": "source-checked"
    },
    "certificate": {
      "status": "not-provided",
      "lean": null
    },
    "notes": "Any fixed sample exponent δ>0; constant noise is a specialization of the stated bias range.",
    "extra": {
      "samples": "n^{1+δ}, fixed δ>0",
      "model": "Sample amplification analyzed with the leftover hash lemma",
      "formula": "Big-O exponent retained"
    },
    "evidence": {
      "url": "https://citeseerx.ist.psu.edu/document?doi=94d370245b0d9435e7f374fbec22ee77372f08d8&repid=rep1&type=pdf",
      "locator": "Abstract; §2, Theorem 1",
      "sourceVersion": "RANDOM 2005 extended abstract, 12 pages"
    }
  }
]