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» New lattice based cryptographic constructions
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STOC
2003
ACM
116views Algorithms» more  STOC 2003»
13 years 10 months ago
New lattice based cryptographic constructions
We introduce the use of Fourier analysis on lattices as an integral part of a lattice based construction. The tools we develop provide an elegant description of certain Gaussian d...
Oded Regev
ECCC
2007
185views more  ECCC 2007»
13 years 4 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
PKC
2011
Springer
219views Cryptology» more  PKC 2011»
12 years 7 months ago
Linearly Homomorphic Signatures over Binary Fields and New Tools for Lattice-Based Signatures
ded abstract of this work appears in Public Key Cryptography — PKC 2011, ed. R. Gennaro, Springer LNCS 6571 (2011), 1–16. This is the full version. We propose a linearly homom...
Dan Boneh, David Mandell Freeman
CRYPTO
2006
Springer
140views Cryptology» more  CRYPTO 2006»
13 years 8 months ago
Lattice-Based Cryptography
We describe some of the recent progress on lattice-based cryptography, starting from the seminal work of Ajtai, and ending with some recent constructions of very efficient cryptogr...
Oded Regev
STACS
2009
Springer
13 years 11 months ago
Generating Shorter Bases for Hard Random Lattices
We revisit the problem of generating a “hard” random lattice together with a basis of relatively short vectors. This problem has gained in importance lately due to new cryptogr...
Joël Alwen, Chris Peikert