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IACR
2011
206views more  IACR 2011»
12 years 7 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...
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...
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 7 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
ECCC
2008
98views more  ECCC 2008»
13 years 7 months ago
Public-Key Cryptosystems from the Worst-Case Shortest Vector Problem
We construct public-key cryptosystems that are secure assuming the worst-case hardness of approximating the minimum distance on n-dimensional lattices to within small poly(n) fact...
Chris Peikert
ASIACRYPT
2009
Springer
14 years 2 months ago
Fiat-Shamir with Aborts: Applications to Lattice and Factoring-Based Signatures
We demonstrate how the framework that is used for creating efficient number-theoretic ID and signature schemes can be transferred into the setting of lattices. This results in cons...
Vadim Lyubashevsky