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» The Shortest Vector Problem in Lattices with Many Cycles
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SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 11 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
CP
2003
Springer
14 years 1 months ago
Cost-Based Filtering for Shorter Path Constraints
Abstract. Many real world problems, e.g. personnel scheduling and transportation planning, can be modeled naturally as Constrained Shortest Path Problems (CSPPs), i.e., as Shortest...
Meinolf Sellmann
ASIACRYPT
2010
Springer
13 years 6 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
STOC
2005
ACM
93views Algorithms» more  STOC 2005»
14 years 9 months ago
Representing hard lattices with O(n log n) bits
We present a variant of the Ajtai-Dwork public-key cryptosystem where the size of the public-key is only O(n log n) bits and the encrypted text/clear text ratio is also O(n log n)...
Miklós Ajtai
ASIACRYPT
2009
Springer
14 years 3 months ago
Fiat-Shamir with Aborts: Applications to Lattice and Factoring-Based Signatures
We demonstrate how the framework that is used for creating efficient number-theoretic ID and signature schemes can be transferred into the setting of lattices. This results in cons...
Vadim Lyubashevsky