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» The Shortest Vector Problem in Lattices with Many Cycles
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FOCS
2002
IEEE
14 years 1 months ago
Quantum Computation and Lattice Problems
We present the first explicit connection between quantum computation and lattice problems. Namely, our main result is a solution to the Unique Shortest Vector Problem (SVP) under ...
Oded Regev
COCOON
1999
Springer
14 years 26 days ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
ECCC
2007
185views more  ECCC 2007»
13 years 8 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
14 years 9 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
LATINCRYPT
2010
13 years 7 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...