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» Testing Polynomials over General Fields
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103
Voted
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
15 years 3 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
80
Voted
SODA
1992
ACM
90views Algorithms» more  SODA 1992»
15 years 24 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
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
15 years 3 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
87
Voted
MOC
1998
98views more  MOC 1998»
14 years 11 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
DCC
1999
IEEE
14 years 11 months ago
A General Polynomial Sieve
An important component of the index calculus methods for finding discrete logarithms is the acquisition of smooth polynomial relations. Gordon and McCurley (1992) developed a sieve...
Shuhong Gao, Jason Howell