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ISSAC
2009
Springer
155views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Parallel sparse polynomial multiplication using heaps
We present a high performance algorithm for multiplying sparse distributed polynomials using a multicore processor. Each core uses a heap of pointers to multiply parts of the poly...
Michael B. Monagan, Roman Pearce
DAGSTUHL
2006
13 years 9 months ago
Probabilistically Stable Numerical Sparse Polynomial Interpolation
We consider the problem of sparse interpolation of a multivariate black-box polynomial in floating-point arithmetic. That is, both the inputs and outputs of the black-box polynomia...
Mark Giesbrecht, George Labahn, Wen-shin Lee
TIT
2008
121views more  TIT 2008»
13 years 7 months ago
Stability Results for Random Sampling of Sparse Trigonometric Polynomials
Recently, it has been observed that a sparse trigonometric polynomial, i.e. having only a small number of non-zero coefficients, can be reconstructed exactly from a small number o...
Holger Rauhut
PKC
2000
Springer
118views Cryptology» more  PKC 2000»
13 years 11 months ago
An Identification Scheme Based on Sparse Polynomials
This paper gives a new example of exploiting the idea of using polynomials with restricted coefficients over finite fields and rings to construct reliable cryptosystems and identif...
William D. Banks, Daniel Lieman, Igor Shparlinski
CAP
2010
13 years 2 months ago
Parallel sparse polynomial interpolation over finite fields
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan