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CIE
2009
Springer
13 years 11 months ago
Decidability of Sub-theories of Polynomials over a Finite Field
Abstract. Let Fq be a finite field with q elements. We produce an (effective) elimination of quantifiers for the structure of the set of polynomials, Fq[t], of one variable, in...
Alla Sirokofskich
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 6 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
CORR
2010
Springer
166views Education» more  CORR 2010»
13 years 5 months ago
On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields
Let Fq be a finite field, Fqs be an extension of Fq, let f(x) Fq[x]
Xiwang Cao, Lei Hu
STOC
1995
ACM
135views Algorithms» more  STOC 1995»
13 years 8 months ago
Subquadratic-time factoring of polynomials over finite fields
New probabilistic algorithms are presented for factoring univariate polynomials over finite fields. The algorithms factor a polynomial of
Erich Kaltofen, Victor Shoup
ARITH
2009
IEEE
13 years 12 months ago
Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation
A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation a...
Murat Cenk, Çetin Kaya Koç, Ferruh &...