Sciweavers

97 search results - page 3 / 20
» Polynomial Multiplication over Finite Fields Using Field Ext...
Sort
View
AAECC
2005
Springer
131views Algorithms» more  AAECC 2005»
13 years 9 months ago
Noisy interpolation of sparse polynomials in finite fields
Abstract We consider a polynomial analogue of the hidden number problem introduced by Boneh andVenkatesan, namely the sparse polynomial noisy interpolation problem of recovering an...
Igor Shparlinski, Arne Winterhof
CSR
2006
Springer
14 years 1 months ago
Complexity of Polynomial Multiplication over Finite Fields
Let Mq (n ) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q -element field by means of bilinear alg...
Michael Kaminski
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 4 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
FFA
2008
75views more  FFA 2008»
13 years 10 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
CIE
2009
Springer
14 years 4 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