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SVP / Heuristic · triple sieving

Faster tuple lattice sieving using spherical locality-sensitive filters

Thijs Laarhoven

arXiv 1705.02828

PreprintSource checked
Time bound
20.3588 n + o(n)
Space bound
20.1887 n + o(n)
Source / version date
8 May 2017
Comparison variant
Heuristic · triple sieving
Cost scale
2c n + o(n)
Computation model
Classical; spherical locality-sensitive filters
Preprocessing cost
Included
Source locator
Section 5 and Table 1, pp. 10–11

Assumptions and source notes

Original solo preprint; later joint work gives additional tradeoffs.

Source location

Section 5 and Table 1, pp. 10–11
Version: arXiv:1705.02828v1, 8 May 2017

Selected earlier references

Selected sources cited by this paper.

  1. Tuple lattice sieving

    Shi Bai · Thijs Laarhoven · Damien Stehlé · 2016

    Earlier tuple-sieving framework. Introduction and bibliography [8]

  2. Improved Algorithms for the Approximate k-List Problem in Euclidean Norm

    Gottfried Herold · Elena Kirshanova · 2017

    Improves .3717 triple-sieving time at the same list space. Introduction, Section 5 and bibliography [18]

  3. New directions in nearest neighbor searching with applications to lattice sieving

    Anja Becker · Léo Ducas · Nicolas Gama · Thijs Laarhoven · 2016

    Generalizes spherical locality-sensitive filters to tuple searches. Section 3 and bibliography [9]

Primary source ↗

@misc{laarhoven-tuple-2017,
  author = {Thijs Laarhoven},
  title = {{Faster tuple lattice sieving using spherical locality-sensitive filters}},
  year = {2017},
  url = {https://arxiv.org/abs/1705.02828},
  keywords = {SVP, lattice sieving},
  cr_date = {2017-05-08},
  cr_status = {preprint},
  cr_author_ids = {thijs-laarhoven},
  howpublished = {arXiv}
}