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» Parallel Lattice Basis Reduction
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TVLSI
2010
13 years 4 months ago
Exploration of Heterogeneous FPGAs for Mapping Linear Projection Designs
In many applications, a reduction of the amount of the original data or a representation of the original data by a small set of variables is often required. Among many techniques, ...
Christos-Savvas Bouganis, Iosifina Pournara, Peter...
CRYPTO
2000
Springer
175views Cryptology» more  CRYPTO 2000»
14 years 2 months ago
A Chosen-Ciphertext Attack against NTRU
We present a chosen-ciphertext attack against the public key cryptosystem called NTRU. This cryptosystem is based on polynomial algebra. Its security comes from the interaction of ...
Éliane Jaulmes, Antoine Joux
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 3 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang
ASAP
2008
IEEE
199views Hardware» more  ASAP 2008»
13 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...
IEEECGIV
2009
IEEE
14 years 4 months ago
Monomial Forms for Curves in CAGD with their Applications
—There are several methods used for plotting curves in CAGD, e.g., by directly computing their basis functions (polynomials) or using their recursive algorithms. For the former m...
Chanon Aphirukmatakun, Natasha Dejdumrong