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ISAAC
2003
Springer
115views Algorithms» more  ISAAC 2003»
14 years 21 days 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
ICIP
1998
IEEE
13 years 11 months ago
Vector Set-Partitioning with Successive Refinement Voronoi Lattice VQ for Embedded Wavelet Image Coding
: While lattice vector quantization (LVQ) can solve the complexity problem of LBG based vector quantizers, and also yield very general codebooks, a single stage lattice VQ, when ap...
Debargha Mukherjee, Sanjit K. Mitra
STACS
2009
Springer
14 years 2 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
LATINCRYPT
2010
13 years 6 months ago
Accelerating Lattice Reduction with FPGAs
We describe an FPGA accelerator for the Kannan–Fincke– Pohst enumeration algorithm (KFP) solving the Shortest Lattice Vector Problem (SVP). This is the first FPGA implementati...
Jérémie Detrey, Guillaume Hanrot, Xa...
FSTTCS
2008
Springer
13 years 8 months ago
Some Sieving Algorithms for Lattice Problems
ABSTRACT. We study the algorithmic complexity of lattice problems based on Ajtai-Kumar-Sivakumar sieving technique [AKS01]. Given a k-dimensional subspace M ⊆ Rn and a full rank ...
Vikraman Arvind, Pushkar S. Joglekar