Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields

DY Grigoriev, M Karpinski, MF Singer - SIAM Journal on Computing, 1990 - SIAM
… the problem of interpolation for … time interpolation algorithm working over GF[q] to determine
all coefficients off in GF[q]. We say that the black box interpolation problem (over a finite field

Sparse interpolation over finite fields via low-order roots of unity

A Arnold, M Giesbrecht, DS Roche - … of the 39th International …, 2014 - dl.acm.org
… of a straight-line program as a sparse polynomial f over an arbitrary finite field of size q. We
… is a hybrid of the diversified and recursive interpolation algorithms, the two previous fastest …

Parallel sparse polynomial interpolation over finite fields

SMM Javadi, M Monagan - Proceedings of the 4th International …, 2010 - dl.acm.org
… algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with
a … Or and Tiwari from 1988 for interpolating polynomials over rings with characteristic zero to …

Interpolation of sparse multivariate polynomials over large finite fields with applications

MDA Huang, AJ Rao - Journal of Algorithms, 1999 - Elsevier
… for sparse polynomial interpolation when the ground field GF(… for sparse polynomial
interpolation over the finite field GF(p")… points of evaluation is sufficient for interpolating an …

The complexity of sparse polynomial interpolation over finite fields

K Werther - … Algebra in Engineering, Communication and …, 1994 - Springer
… problem of interpolating and zero testing sparse multivariate polynomials over finite fields
from … Further, we present for arbitrary finite fields a new interpolation algorithm that uses only …

On zero-testing and interpolation of k-sparse multivariate polynomials over finite fields

M Clausen, A Dress, J Grabmeier… - Theoretical Computer …, 1991 - Elsevier
… In our paper we consider these problems for k-sparse multivariate polynomials over finite
fields with essentially no restriction on the degree of the polynomials. Sections 2 and 3 are …

Noisy interpolation of sparse polynomials in finite fields

I Shparlinski, A Winterhof - … Algebra in Engineering, Communication and …, 2005 - Springer
… Venkatesan, namely the sparse polynomial noisy interpolation problem of recovering … fields.
Theor. Comp. … Non-approximability of the permanent of structured matrices over finite fields. …

[PDF][PDF] Sparse polynomial interpolation. Exploring fast heuristic algorithms over finite fields

J van der Hoeven, G Lecerf - 2019 - hal.science
… bit complexity of sparse interpolation over finite fields K=𝔽q. Sparse interpolation over the
… We analyze the complexities of specializations of existing algorithms to the finite field case …

Sparse polynomial interpolation: faster strategies over finite fields

J van der Hoeven, G Lecerf - … Algebra in Engineering, Communication and …, 2024 - Springer
… of sparse interpolation over finite fields \(K ={\mathbb {F}}_q\). Sparse interpolation over the
… We analyze the complexities of specializations of existing algorithms to the finite field case …

Sparse polynomial approximation in finite fields

IE Shparlinski - … of the thirty-third annual ACM symposium on Theory of …, 2001 - dl.acm.org
… Namely we consider the sparse polynomial approximation problem of recovering an unknown
… , On zero testing and interpolation of k-sparse multivariate polynomials over finite field, …