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AAECC
2005
Springer
131views Algorithms» more  AAECC 2005»
13 years 5 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
13 years 9 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 10 days 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 5 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 10 days 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