Skip to main content
Article thumbnail
Location of Repository

Generating shorter bases for hard random lattices

By Joël Alwen and Chris Peikert

Abstract

We revisit the problem of generating a ‘hard ’ random lattice together with a basis of relatively short vectors. This problem has gained in importance lately due to new cryptographic schemes that use such a procedure to generate public/secret key pairs. In these applications, a shorter basis corresponds to milder underlying complexity assumptions and smaller key sizes. The contributions of this work are twofold. First, we simplify and modularize an approach originally due to Ajtai (ICALP 1999). Second, we improve the construction and its analysis in several ways, most notably by making the output basis asymptotically as short as possible. Keywords: Lattices, average-case hardness, cryptography, Hermite normal for

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.263
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.cc.gatech.edu/~cpei... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.