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» Optimizing polynomials for floating-point implementation
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HPCS
2009
IEEE
15 years 1 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
JSC
2008
162views more  JSC 2008»
14 years 9 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
APPROX
2008
Springer
107views Algorithms» more  APPROX 2008»
14 years 11 months ago
A General Framework for Designing Approximation Schemes for Combinatorial Optimization Problems with Many Objectives Combined in
Abstract. In this paper, we propose a general framework for designing fully polynomial time approximation schemes for combinatorial optimization problems, in which more than one ob...
Shashi Mittal, Andreas S. Schulz
EUROCRYPT
2011
Springer
14 years 1 months ago
Implementing Gentry's Fully-Homomorphic Encryption Scheme
We describe a working implementation of a variant of Gentry’s fully homomorphic encryption scheme (STOC 2009), similar to the variant used in an earlier implementation effort b...
Craig Gentry, Shai Halevi
IPPS
2000
IEEE
15 years 2 months ago
Complexity Bounds for Lookup Table Implementation of Factored Forms in FPGA Technology Mapping
We consider technology mapping from factored form binary leaf-DAG to lookup tables LUTs, such as those found in eld programmable gate arrays. Polynomial time algorithms exist f...
Wenyi Feng, Fred J. Meyer, Fabrizio Lombardi