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» A sieve algorithm for the shortest lattice vector problem
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LATINCRYPT
2010
13 years 5 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...
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
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
13 years 11 months ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
FOCS
1998
IEEE
13 years 11 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio