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» Multi-bit Cryptosystems Based on Lattice Problems
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EUROCRYPT
2010
Springer
14 years 7 days ago
A Simple BGN-Type Cryptosystem from LWE
We construct a simple public-key encryption scheme that supports polynomially many additions and one multiplication, similar to the cryptosystem of Boneh, Goh, and Nissim (BGN). S...
Craig Gentry, Shai Halevi, Vinod Vaikuntanathan
LATINCRYPT
2010
13 years 5 months ago
A Lattice-Based Threshold Ring Signature Scheme
In this article, we propose a new lattice-based threshold ring signature scheme, modifying Aguilar’s code-based solution to use the short integer solution (SIS) problem as securi...
Pierre-Louis Cayrel, Richard Lindner, Markus R&uum...
ECCC
2006
97views more  ECCC 2006»
13 years 7 months ago
Cryptographic Hardness Results for Learning Intersections of Halfspaces
We give the first representation-independent hardness results for PAC learning intersections of halfspaces, a central concept class in computational learning theory. Our hardness ...
Adam R. Klivans, Alexander A. Sherstov
DCC
2007
IEEE
14 years 7 months ago
Low-density attack revisited
The low-density attack proposed by Lagarias and Odlyzko is a powerful algorithm against the subset sum problem. The improvement algorithm due to Coster et al. would solve almost a...
Tetsuya Izu, Jun Kogure, Takeshi Koshiba, Takeshi ...
CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
14 years 2 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
Vadim Lyubashevsky, Daniele Micciancio