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» Lattice Basis Reduction with Dynamic Approximation
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CRYPTO
2011
Springer
191views Cryptology» more  CRYPTO 2011»
13 years 9 months ago
Analyzing Blockwise Lattice Algorithms Using Dynamical Systems
Strong lattice reduction is the key element for most attacks against lattice-based cryptosystems. Between the strongest but impractical HKZ reduction and the weak but fast LLL redu...
Guillaume Hanrot, Xavier Pujol, Damien Stehl&eacut...
IACR
2011
141views more  IACR 2011»
13 years 9 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
TOC
2008
94views more  TOC 2008»
14 years 9 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
IACR
2011
155views more  IACR 2011»
13 years 9 months ago
Terminating BKZ
Strong lattice reduction is the key element for most attacks against lattice-based cryptosystems. Between the strongest but impractical HKZ reduction and the weak but fast LLL redu...
Guillaume Hanrot, Xavier Pujol, Damien Stehl&eacut...
ASAP
2008
IEEE
199views Hardware» more  ASAP 2008»
14 years 11 months ago
An efficient method for evaluating polynomial and rational function approximations
In this paper we extend the domain of applicability of the E-method [7, 8], as a hardware-oriented method for evaluating elementary functions using polynomial and rational functio...
Nicolas Brisebarre, Sylvain Chevillard, Milos D. E...