{
  "id": "mukh21-exact-infinity",
  "categoryId": "svp-infinity-provable",
  "paperId": "mukhopadhyay-2019-lp-sieving",
  "date": "2021-12-19",
  "datePrecision": "day",
  "year": 2021,
  "time": {
    "coefficient": 2.443,
    "expression": "2^{2.443 n + o(n)}"
  },
  "space": {
    "coefficient": 2.443,
    "expression": "2^{2.443 n + o(n)}"
  },
  "tags": [
    "classical",
    "provable",
    "arbitrary lattices",
    "ℓ∞"
  ],
  "review": {
    "status": "source-checked"
  },
  "certificate": {
    "status": "not-provided",
    "lean": null
  },
  "notes": "Specializing the linear birthday sieve to ℓ∞, with the stated subdivision, yields the displayed bound at γ = 0.501 and ξ = 0.738. This improves the 2.82/2.82 specialization in Aggarwal–Mukhopadhyay 2018. The row is conservatively dated to the checked v3 rather than backdating the numerical refinement to v1.",
  "extra": {
    "norm": "ℓ∞",
    "success": "At least 1/2",
    "model": "Classical; polynomial input-size factors suppressed"
  },
  "evidence": {
    "url": "https://arxiv.org/html/1907.04406v3",
    "locator": "§3.3, paragraph beginning “For p = ∞”; Table 1",
    "sourceVersion": "arXiv:1907.04406v3, 19 December 2021"
  }
}