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68
Voted
ISSAC
2004
Springer
159views Mathematics» more  ISSAC 2004»
15 years 3 months ago
Complexity issues in bivariate polynomial factorization
Many polynomial factorization algorithms rely on Hensel lifting and factor recombination. For bivariate polynomials we show that lifting the factors up to a precision linear in th...
Alin Bostan, Grégoire Lecerf, Bruno Salvy, ...
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
15 years 1 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
67
Voted
IFL
2001
Springer
15 years 2 months ago
A Polynomial-Cost Non-determinism Analysis
Abstract. This paper is an extension of a previous work where two nondeterminism analyses were presented. One of them was efficient but not very powerful and the other one was more...
Ricardo Pena, Clara Segura
TAMC
2010
Springer
15 years 2 months ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret
113
Voted
ASIACRYPT
2011
Springer
13 years 9 months ago
Functional Encryption for Inner Product Predicates from Learning with Errors
We propose a lattice-based functional encryption scheme for inner product predicates whose security follows from the difficulty of the learning with errors (LWE) problem. This co...
Shweta Agrawal, David Mandell Freeman, Vinod Vaiku...