Sciweavers

97 search results - page 9 / 20
» Finding roots of polynomials over finite fields
Sort
View
CALC
2001
Springer
201views Cryptology» more  CALC 2001»
15 years 4 months ago
Finding Small Solutions to Small Degree Polynomials
Abstract. This talk is a brief survey of recent results and ideas concerning the problem of finding a small root of a univariate polynomial mod N, and the companion problem of fi...
Don Coppersmith
AAECC
1997
Springer
115views Algorithms» more  AAECC 1997»
15 years 3 months ago
Efficient Multivariate Factorization over Finite Fields
We describe the Maple [23] implementation of multivariate factorization over general finite fields. Our first implementation is available in Maple V Release 3. We give selected det...
Laurent Bernardin, Michael B. Monagan
FOCS
1998
IEEE
15 years 3 months ago
Unsatisfiable Systems of Equations, Over a Finite Field
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...
Alan R. Woods
80
Voted
SODA
1992
ACM
90views Algorithms» more  SODA 1992»
15 years 25 days ago
Self-Testing Polynomial Functions Efficiently and Over Rational Domains
In this paper we give the first self-testers and checkers for polynomials over rational and integer domains. We also show significantly stronger bounds on the efficiency of a simp...
Ronitt Rubinfeld, Madhu Sudan
97
Voted
ANTS
2006
Springer
118views Algorithms» more  ANTS 2006»
15 years 1 months ago
Construction of Rational Points on Elliptic Curves over Finite Fields
Abstract. We give a deterministic polynomial-time algorithm that computes a nontrivial rational point on an elliptic curve over a finite field, given a Weierstrass equation for the...
Andrew Shallue, Christiaan van de Woestijne