[
  {
    "id": "bkw-quantum-coded17-polynomial",
    "categoryId": "bkw-regev-polynomial-quantum",
    "paperId": "paper-f792611a7feb",
    "year": 2019,
    "date": "2019-01-19",
    "time": {
      "coefficient": 1.6364,
      "expression": "2^{1.6364 n+o(n)}"
    },
    "space": {
      "coefficient": 1.6364,
      "expression": "2^{1.6364 n+o(n)}"
    },
    "tags": [
      "quantum",
      "heuristic",
      "LWE",
      "BKW",
      "Regev regime",
      "polynomial samples"
    ],
    "review": {
      "status": "source-checked"
    },
    "certificate": {
      "status": "not-provided",
      "lean": null
    },
    "notes": "2019 source analysis of the earlier algorithm. The 2017 conference version §6.4 deferred this sample-limited comparison to future work.",
    "extra": {
      "samples": "Polynomially many original samples, amplified",
      "model": "Heuristics of the cited BKW/list analysis",
      "schedule": "Common factor γ=1",
      "access": "Coherent indexed reads; Grover search",
      "coefficient_source": "https://arxiv.org/html/1901.06558v2#S6.T1",
      "original_algorithm": "Guo–Johansson–Mårtensson–Stankovski, Coded-BKW with Sieving, ASIACRYPT 2017",
      "original_paper_id": "paper-46a7c73ed460"
    },
    "datePrecision": "day",
    "evidence": {
      "url": "https://arxiv.org/pdf/1901.06558v1",
      "locator": "§VI, Table I; §V.E polynomial-sample transformation",
      "sourceVersion": "arXiv:1901.06558v1, 19 January 2019, Table I checked directly"
    }
  },
  {
    "id": "bkw-quantum-common19-polynomial",
    "categoryId": "bkw-regev-polynomial-quantum",
    "paperId": "paper-c64ff7d0568b",
    "year": 2019,
    "date": "2019-01-09",
    "time": {
      "coefficient": 1.6211,
      "expression": "2^{1.6211 n + o(n)}"
    },
    "space": {
      "coefficient": null,
      "expression": ""
    },
    "tags": [
      "quantum",
      "heuristic",
      "LWE",
      "BKW",
      "Regev regime",
      "polynomial samples"
    ],
    "review": {
      "status": "source-checked"
    },
    "certificate": {
      "status": "not-provided",
      "lean": null
    },
    "notes": "Polynomial-sample column of Mårtensson 2019 Table I; amplification noise included. First public archive date shown.",
    "extra": {
      "samples": "poly(n) fresh input equations; amplification allowed",
      "model": "Assumptions of the cited BKW/list analysis",
      "schedule": "Optimized constant γ",
      "access": "Coherent indexed reads; Grover search",
      "coefficient_source": "https://arxiv.org/html/1901.06558v2#S6.T1"
    }
  },
  {
    "id": "bkw-quantum-progression19-polynomial",
    "categoryId": "bkw-regev-polynomial-quantum",
    "paperId": "paper-f792611a7feb",
    "year": 2019,
    "date": "2019-01-19",
    "time": {
      "coefficient": 1.6168,
      "expression": "2^{1.6168 n + o(n)}"
    },
    "space": {
      "coefficient": null,
      "expression": ""
    },
    "tags": [
      "quantum",
      "heuristic",
      "LWE",
      "BKW",
      "Regev regime",
      "polynomial samples"
    ],
    "review": {
      "status": "source-checked"
    },
    "certificate": {
      "status": "not-provided",
      "lean": null
    },
    "notes": "Polynomial-sample column of Mårtensson 2019 Table I; amplification noise included. First public archive date shown.",
    "extra": {
      "samples": "poly(n) fresh input equations; amplification allowed",
      "model": "Assumptions of the cited BKW/list analysis",
      "schedule": "Arithmetic progression of γᵢ",
      "access": "Coherent indexed reads; Grover search",
      "coefficient_source": "https://arxiv.org/html/1901.06558v2#S6.T1"
    }
  }
]
