97 search results - page 1 / 20 » Polynomial Multiplication over Finite Fields Using Field Ext... |
ARITH
2009
IEEE
13 years 11 months ago
2009
IEEE
A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation a...
CAP
2010
12 years 11 months ago
2010
We present a probabilistic algorithm to interpolate a sparse multivariate polynomial over a finite field, represented with a black box. Our algorithm modifies the algorithm of Ben...
STOC
2007
ACM
14 years 4 months ago
2007
ACM
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
TC
2002
13 years 4 months ago
2002
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 ...
CORR
2008
Springer
13 years 4 months ago
2008
Springer
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time ...