New directions in nearest neighbor searching with applications to lattice sieving

A Becker, L Ducas, N Gama, T Laarhoven - … of the twenty-seventh annual ACM …, 2016 - SIAM
To solve the approximate nearest neighbor search problem (NNS) on the sphere, we
propose a method using locality-sensitive filters (LSF), with the property that nearby vectors …

Oblivious key-value stores and amplification for private set intersection

G Garimella, B Pinkas, M Rosulek, N Trieu… - Advances in Cryptology …, 2021 - Springer
Many recent private set intersection (PSI) protocols encode input sets as polynomials. We
consider the more general notion of an oblivious key-value store (OKVS), which is a data …

Quantum algorithms for attacking hardness assumptions in classical and post‐quantum cryptography

JF Biasse, X Bonnetain, E Kirshanova… - IET Information …, 2023 - Wiley Online Library
In this survey, the authors review the main quantum algorithms for solving the computational
problems that serve as hardness assumptions for cryptosystem. To this end, the authors …

[PDF][PDF] Search problems in cryptography: from fingerprinting to lattice sieving

T Laarhoven - 2016 - research.tue.nl
Search problems in cryptography Page 1 Search problems in cryptography: from fingerprinting
to lattice sieving Citation for published version (APA): Laarhoven, T. (2016). Search problems …

Advanced lattice sieving on GPUs, with tensor cores

L Ducas, M Stevens, W van Woerden - … on the Theory and Applications of …, 2021 - Springer
In this work, we study GPU implementations of various state-of-the-art sieving algorithms for
lattices (Becker-Gama-Joux 2015, Becker-Ducas-Gama-Laarhoven 2016, Herold …

Lattice sieving via quantum random walks

A Chailloux, J Loyer - Advances in Cryptology–ASIACRYPT 2021: 27th …, 2021 - Springer
Lattice-based cryptography is one of the leading proposals for post-quantum cryptography.
The Shortest Vector Problem (SVP) is arguably the most important problem for the …

Estimating quantum speedups for lattice sieves

MR Albrecht, V Gheorghiu, EW Postlethwaite… - Advances in Cryptology …, 2020 - Springer
Quantum variants of lattice sieve algorithms are routinely used to assess the security of
lattice based cryptographic constructions. In this work we provide a heuristic, non …

Progressive lattice sieving

T Laarhoven, A Mariano - International Conference on Post-Quantum …, 2018 - Springer
Most algorithms for hard lattice problems are based on the principle of rank reduction: to
solve a problem in ad-dimensional lattice, one first solves one or more problem instances in …

Speed-ups and time–memory trade-offs for tuple lattice sieving

G Herold, E Kirshanova, T Laarhoven - … on Practice and Theory of Public …, 2018 - Springer
In this work we study speed-ups and time–space trade-offs for solving the shortest vector
problem (SVP) on Euclidean lattices based on tuple lattice sieving. Our results extend and …

Lattice-based encryption over standard lattices in hardware

J Howe, C Moore, M O'Neill, F Regazzoni… - Proceedings of the 53rd …, 2016 - dl.acm.org
Lattice-based cryptography has gained credence recently as a replacement for current
public-key cryptosystems, due to its quantum-resilience, versatility, and relatively low key …