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STOC
1998
ACM
135views Algorithms» more  STOC 1998»
14 years 2 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
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
14 years 2 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
RANDOM
1997
Springer
14 years 1 months ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra
EUROCRYPT
2006
Springer
14 years 1 months ago
Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects
The Isomorphism of Polynomials (IP) [28], which is the main concern of this paper, originally corresponds to the problem of recovering the secret key of a C scheme [26]. Besides, t...
Jean-Charles Faugère, Ludovic Perret
DEDS
2008
108views more  DEDS 2008»
13 years 10 months ago
An Algorithmic Toolbox for Network Calculus
Network calculus offers powerful tools to analyze the performances in communication networks, in particular to obtain deterministic bounds. This theory is based on a strong mathema...
Anne Bouillard, Eric Thierry