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CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
14 years 3 days 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
SODA
2010
ACM
232views Algorithms» more  SODA 2010»
14 years 2 months ago
Faster exponential time algorithms for the shortest vector problem
We present new faster algorithms for the exact solution of the shortest vector problem in arbitrary lattices. Our main result shows that the shortest vector in any n-dimensional l...
Daniele Micciancio, Panagiotis Voulgaris
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 5 months ago
Lattice problems and norm embeddings
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...
Oded Regev, Ricky Rosen