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IACR
2011
115views more  IACR 2011»
12 years 8 months ago
Pseudorandom Functions and Lattices
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
Abhishek Banerjee, Chris Peikert, Alon Rosen
STOC
2005
ACM
198views Algorithms» more  STOC 2005»
14 years 9 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
IACR
2011
120views more  IACR 2011»
12 years 8 months ago
Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main t...
David Jao, Luca De Feo
ISMVL
2008
IEEE
160views Hardware» more  ISMVL 2008»
14 years 3 months ago
Exact Synthesis of Elementary Quantum Gate Circuits for Reversible Functions with Don't Cares
Compact realizations of reversible logic functions are of interest in the design of quantum computers. In this paper we present an exact synthesis algorithm, based on Boolean Sati...
Daniel Große, Robert Wille, Gerhard W. Dueck...
STOC
2010
ACM
189views Algorithms» more  STOC 2010»
14 years 6 months ago
Near-optimal extractors against quantum storage
We give near-optimal constructions of extractors secure against quantum bounded-storage adversaries. One instantiation gives the first such extractor to achieve an output length (...
Anindya De and Thomas Vidick