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STOC
1998
ACM
135views Algorithms» more  STOC 1998»
13 years 7 months ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan
FSTTCS
2001
Springer
13 years 8 months ago
On Polynomial Representations of Boolean Functions Related to Some Number Theoretic Problems
We say a polynomial P over ZZM strongly M -represents a Boolean function F if F(x) ≡ P(x) (mod M) for all x ∈ {0, 1}n . Similarly, P one-sidedly M -represents F if F(x) = 0 ⇐...
Erion Plaku, Igor Shparlinski
STACS
2009
Springer
13 years 8 months ago
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials ...
Mahdi Cheraghchi, Amin Shokrollahi
SDMW
2004
Springer
13 years 9 months ago
Using Secret Sharing for Searching in Encrypted Data
When outsourcing data to an untrusted database server, the data should be encrypted. When using thin clients or low-bandwidth networks it is best to perform most of the work at the...
Richard Brinkman, Jeroen Doumen, Willem Jonker
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
13 years 9 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
13 years 10 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui