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» A natural lattice basis problem with applications
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MOC
1998
65views more  MOC 1998»
13 years 4 months ago
A natural lattice basis problem with applications
Integer lattices have numerous important applications, but some of them may have been overlooked because of the common assumption that a lattice basis is part of the problem instan...
John D. Hobby
ISSAC
1992
Springer
114views Mathematics» more  ISSAC 1992»
13 years 9 months ago
Parallel Lattice Basis Reduction
Abstract. Lattice basis reduction is an important problem in geometry of numbers with applications in combinatorial optimization, computer algebra, and cryptography. The well-known...
Gilles Villard
WAE
2000
103views Algorithms» more  WAE 2000»
13 years 6 months ago
Lattice Basis Reduction with Dynamic Approximation
Abstract. In this paper we present a heuristic based on dynamic approximations for improving the well-known Schnorr-Euchner lattice basis reduction algorithm. In particular, the ne...
Werner Backes, Susanne Wetzel
EUROCRYPT
2010
Springer
13 years 9 months ago
Bonsai Trees, or How to Delegate a Lattice Basis
We introduce a new lattice-based cryptographic structure called a bonsai tree, and use it to resolve some important open problems in the area. Applications of bonsai trees include...
David Cash, Dennis Hofheinz, Eike Kiltz, Chris Pei...
ACISP
2010
Springer
13 years 6 months ago
Solving Generalized Small Inverse Problems
We introduce a "generalized small inverse problem (GSIP)" and present an algorithm for solving this problem. GSIP is formulated as finding small solutions of f(x0, x1, . ...
Noboru Kunihiro