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» Finding roots of polynomials over finite fields
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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
EUROCRYPT
2005
Springer
13 years 10 months ago
A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers
We present a new and flexible formulation of Coppersmith’s method for finding small solutions of bivariate polynomials p(x, y) over the integers. Our approach allows to maximiz...
Johannes Blömer, Alexander May
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 11 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 &...
TC
2002
13 years 4 months ago
A Deterministic Multivariate Interpolation Algorithm for Small Finite Fields
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields. Given function values at arbitrary t points, we show ...
Zeljko Zilic, Zvonko G. Vranesic