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» Public-Key Cryptosystems from Lattice Reduction Problems
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CRYPTO
1997
Springer
207views Cryptology» more  CRYPTO 1997»
13 years 8 months ago
Public-Key Cryptosystems from Lattice Reduction Problems
We present a new proposal for a trapdoor one-way function, from which we derive public-key encryption and digital signatures. The security of the new construction is based on the ...
Oded Goldreich, Shafi Goldwasser, Shai Halevi
ECCC
2008
98views more  ECCC 2008»
13 years 4 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
IMA
1999
Springer
108views Cryptology» more  IMA 1999»
13 years 8 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
ACISP
2001
Springer
13 years 9 months ago
Cryptanalysis of a Public Key Cryptosystem Proposed at ACISP 2000
Abstract. At ACISP 2000, Yoo et al proposed a fast public key cryptosystem using matrices over a ring. The authors claim that the security of their system is based on the RSA probl...
Amr M. Youssef, Guang Gong
STOC
2005
ACM
198views Algorithms» more  STOC 2005»
14 years 4 months ago
On lattices, learning with errors, random linear codes, and cryptography
Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learnin...
Oded Regev