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» Multi-bit Cryptosystems Based on Lattice Problems
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IMA
1999
Springer
108views Cryptology» more  IMA 1999»
13 years 9 months ago
Tensor-Based Trapdoors for CVP and Their Application to Public Key Cryptography
We propose two trapdoors for the Closest-Vector-Problem in lattices (CVP) related to the lattice tensor product. Using these trapdoors we set up a lattice-based cryptosystem which ...
Roger Fischlin, Jean-Pierre Seifert
PKC
2007
Springer
100views Cryptology» more  PKC 2007»
13 years 11 months ago
Multi-bit Cryptosystems Based on Lattice Problems
Abstract. We propose multi-bit versions of several single-bit cryptosystems based on lattice problems, the error-free version of the Ajtai-Dwork cryptosystem by Goldreich, Goldwass...
Akinori Kawachi, Keisuke Tanaka, Keita Xagawa
EUROPAR
2010
Springer
13 years 6 months ago
Parallel Enumeration of Shortest Lattice Vectors
Abstract. Lattice basis reduction is the problem of finding short vectors in lattices. The security of lattice based cryptosystems is based on the hardness of lattice reduction. Fu...
Özgür Dagdelen, Michael Schneider 0002
ECCC
2008
98views more  ECCC 2008»
13 years 5 months ago
Public-Key Cryptosystems from the Worst-Case Shortest Vector Problem
We construct public-key cryptosystems that are secure assuming the worst-case hardness of approximating the minimum distance on n-dimensional lattices to within small poly(n) fact...
Chris Peikert
TCC
2010
Springer
178views Cryptology» more  TCC 2010»
14 years 2 months ago
Threshold Decryption and Zero-Knowledge Proofs for Lattice-Based Cryptosystems
We present a variant of Regev’s cryptosystem first presented in [Reg05], but with a new choice of parameters. By a recent classical reduction by Peikert we prove the scheme sema...
Rikke Bendlin, Ivan Damgård