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SVP / Heuristic · triple sieving

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

Gottfried Herold · Elena Kirshanova

PKC 2017

PublishedSource checked
Time bound
20.3717 n + o(n)
Space bound
20.1887 n + o(n)
Source / version date
26 Jan 2017
Comparison variant
Heuristic · triple sieving
Cost scale
2c n + o(n)
Computation model
Classical; heuristic spherical lists
Preprocessing cost
Included
Source locator
Abstract; Section 7.2, p. 21

Assumptions and source notes

Configuration extension retains the triple-list space exponent.

Source location

Abstract; Section 7.2, p. 21
Version: ePrint 2017/017 revised 26 January 2017

Selected earlier references

Selected sources cited by this paper.

  1. Tuple lattice sieving

    Shi Bai · Thijs Laarhoven · Damien Stehlé · 2016

    Improves tuple search and proves earlier configuration/list-size conjectures. Introduction; reference [4]

Primary source ↗

@inproceedings{herold-kirshanova-2017,
  author = {Gottfried Herold and Elena Kirshanova},
  title = {{Improved Algorithms for the Approximate k-List Problem in Euclidean Norm}},
  booktitle = {Public-Key Cryptography – PKC 2017},
  year = {2017},
  doi = {10.1007/978-3-662-54365-8_2},
  url = {https://eprint.iacr.org/2017/017},
  keywords = {SVP, lattice sieving},
  cr_date = {2017-01-11},
  cr_status = {published},
  cr_venue = {Public-Key Cryptography – PKC 2017},
  cr_author_ids = {gottfried-herold; elena-kirshanova}
}