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» Generating Shorter Bases for Hard Random Lattices
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STOC
2005
ACM
198views Algorithms» more  STOC 2005»
15 years 12 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
80
Voted
JCSS
2007
88views more  JCSS 2007»
14 years 11 months ago
Counting lattice vectors
We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that the problem is â™...
Denis Xavier Charles
EUROCRYPT
2012
Springer
13 years 2 months ago
Lattice Signatures without Trapdoors
We provide an alternative method for constructing lattice-based digital signatures which does not use the “hash-and-sign” methodology of Gentry, Peikert, and Vaikuntanathan (ST...
Vadim Lyubashevsky
ASIACRYPT
2010
Springer
14 years 9 months ago
Lattice-Based Blind Signatures
Blind signatures (BS), introduced by Chaum, have become a cornerstone in privacy-oriented cryptography. Using hard lattice problems, such as the shortest vector problem, as the bas...
Markus Rückert
FOCS
1999
IEEE
15 years 4 months ago
Near-Optimal Conversion of Hardness into Pseudo-Randomness
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson