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» Predicting Lattice Reduction
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LATIN
2010
Springer
14 years 3 days ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin
IMA
1999
Springer
108views Cryptology» more  IMA 1999»
13 years 9 months ago
Tensor-Based Trapdoors for CVP and Their Application to Public Key Cryptography
We propose two trapdoors for the Closest-Vector-Problem in lattices (CVP) related to the lattice tensor product. Using these trapdoors we set up a lattice-based cryptosystem which ...
Roger Fischlin, Jean-Pierre Seifert
FOCS
2004
IEEE
13 years 9 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
ISAAC
2003
Springer
115views Algorithms» more  ISAAC 2003»
13 years 10 months ago
A Faster Lattice Reduction Method Using Quantum Search
We propose a new lattice reduction method. Our algorithm approximates shortest lattice vectors up to a factor ≤ (k/6)n/2k and makes use of Grover’s quantum search algorithm. Th...
Christoph Ludwig
AAAI
2012
11 years 7 months ago
Multinomial Relation Prediction in Social Data: A Dimension Reduction Approach
The recent popularization of social web services has made them one of the primary uses of the World Wide Web. An important concept in social web services is social actions such as...
Nozomi Nori, Danushka Bollegala, Hisashi Kashima