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A lattice- based public-key cryptosystem

  • SUNY Buffalo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations

Abstract

Ajtai recently found a random class of lattices of integer points for which he could prove the following worst-case/average-case equivalence result: If there is a probabilistic polynomial time algorithm which finds a short vector in a random lattice from the class, then there is also a probabilistic polynomial time algorithm which solves several problems related to the shortest lattice vector problem (SVP) in any n-dimensional lattice. Ajtai and Dwork then designed a public-key cryptosystem which is provably secure unless the worst case of a version of the SVP can be solved in probabilistic polynomial time. However, their cryptosystem suffers from massive data expansion because it encrypts data bit-by-bit. Here we present a public-key cryptosystem based on similar ideas, but with much less data expansion.

Original languageEnglish
Title of host publicationSelected Areas in Cryptography - 5th Annual International Workshop, SAC 1998, Proceedings
EditorsStafford Tavares, Henk Meijer
PublisherSpringer Verlag
Pages219-233
Number of pages15
ISBN (Print)3540658947, 9783540658948
DOIs
StatePublished - 1999
Event5th Annual Workshops on Selected Areas in Cryptography, SAC 1998 - Kingston, Canada
Duration: Aug 17 1998Aug 18 1998

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1556
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th Annual Workshops on Selected Areas in Cryptography, SAC 1998
Country/TerritoryCanada
CityKingston
Period08/17/9808/18/98

Keywords

  • Cryptographic security
  • Lattice
  • Public-key cryptosystem

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