{
  "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"
  }
}