Automatically assigned DDC number: 00582

Manually assigned DDC number: 00582

Number of references: 35

Title: Lattice Reduction in Cryptology: An Update

Author:

Author:

Subject: Phong Q. Nguyen,Jacques Stern Lattice Reduction in Cryptology: An Update

Description: . Lattices are regular arrangements of points in space, whose study appeared in the 19th century in both number theory and crystallography. The goal of lattice reduction is to find useful representations of lattices. A major breakthrough in that field occurred twenty years ago, with the appearance of Lov'asz's reduction algorithm, also known as LLL or L 3 . Lattice reduction algorithms have since proved invaluable in many areas of mathematics and computer science, especially in algorithmic number theory and cryptology. In this paper, we survey some applications of lattices to cryptology. We focus on recent developments of lattice reduction both in cryptography and cryptanalysis, which followed seminal works of Ajtai and Coppersmith. 1 Introduction Lattices are discrete subgroups of R n . A lattice has infinitely many Z-bases, but some are more useful than others. The goal of lattice reduction is to find interesting lattice bases, such as bases consisting of reasonably s...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 2000-05-06

Pubyear: 2000

Format: ps

Identifier: http://citeseer.ist.psu.edu/296791.html

Source: ftp://ftp.ens.fr/pub/dmi/users/pnguyen/ANTS4.ps.gz

Language: en

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            <identifier   Org="ISBN:3540438637"   Paper_ID="SELF"   Extracted="3540438637"   DDC="512/.7"   Normalized_DDC="5127"   Normalized_Weight="0.0625"   />

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            <identifier   Org="ISBN:3540751866"   Paper_ID="SELF"   Extracted="3540751866"   />

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