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» Complexity of Polynomial Multiplication over Finite Fields
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FFA
2008
75views more  FFA 2008»
13 years 7 months ago
Syntactical and automatic properties of sets of polynomials over finite fields
Syntactical properties of representations of integers in various number systems are well-known and have been extensively studied. In this paper, we transpose the notion of recogniz...
Michel Rigo
ISSAC
2004
Springer
102views Mathematics» more  ISSAC 2004»
14 years 21 days ago
FFPACK: finite field linear algebra package
The FFLAS project has established that exact matrix multiplication over finite fields can be performed at the speed of the highly optimized numerical BLAS routines. Since many a...
Jean-Guillaume Dumas, Pascal Giorgi, Clémen...
CAP
2010
13 years 2 months ago
Parallel sparse polynomial interpolation over finite fields
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...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
ECCC
2010
104views more  ECCC 2010»
13 years 7 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak