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IACR
2011
206views more  IACR 2011»
12 years 4 months ago
Shortest Lattice Vectors in the Presence of Gaps
Given a lattice L with the i-th successive minimum λi, its i-th gap λi λ1 often provides useful information for analyzing the security of cryptographic schemes related to L. The...
Mingjie Liu, Xiaoyun Wang, Guangwu Xu, Xuexin Zhen...
CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
13 years 11 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
FOCS
2003
IEEE
13 years 10 months ago
A Lattice Problem in Quantum NP
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
Dorit Aharonov, Oded Regev