On the concrete hardness of Learning with Errors

• Published in: Journal of mathematical cryptology Vol. 9; no. 3; pp. 169 - 203
• Main Authors: Albrecht, Martin R., Player, Rachel, Scott, Sam
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 01.10.2015; Walter de Gruyter GmbH
• Subjects: 11T71; 94A60; Algorithms; Applied mathematics; Concretes; Cryptography; Errors; Estimates; Hardness; lattice reduction; lattice-based cryptography; Lattices; Learning; Learning with Errors; Reduction

The learning with errors (LWE) problem has become a central building block of modern cryptographic constructions. This work collects and presents hardness results for concrete instances of LWE. In particular, we discuss algorithms proposed in the literature and give the expected resources required t...