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IACR
2011
141views more  IACR 2011»
12 years 7 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger
PKC
2011
Springer
219views Cryptology» more  PKC 2011»
12 years 10 months ago
Linearly Homomorphic Signatures over Binary Fields and New Tools for Lattice-Based Signatures
ded abstract of this work appears in Public Key Cryptography — PKC 2011, ed. R. Gennaro, Springer LNCS 6571 (2011), 1–16. This is the full version. We propose a linearly homom...
Dan Boneh, David Mandell Freeman
JC
2008
128views more  JC 2008»
13 years 7 months ago
Lattice rule algorithms for multivariate approximation in the average case setting
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
CIKM
2010
Springer
13 years 6 months ago
Fast and accurate estimation of shortest paths in large graphs
Computing shortest paths between two given nodes is a fundamental operation over graphs, but known to be nontrivial over large disk-resident instances of graph data. While a numbe...
Andrey Gubichev, Srikanta J. Bedathur, Stephan Seu...
CALC
2001
Springer
171views Cryptology» more  CALC 2001»
14 years 4 hour ago
Approximate Integer Common Divisors
We show that recent results of Coppersmith, Boneh, Durfee and Howgrave-Graham actually apply in the more general setting of (partially) approximate common divisors. This leads us t...
Nick Howgrave-Graham