Sciweavers

73 search results - page 2 / 15
» Decidability of Sub-theories of Polynomials over a Finite Fi...
Sort
View
CORR
2006
Springer
163views Education» more  CORR 2006»
13 years 6 months ago
Finding roots of polynomials over finite fields
In this paper we propose an improved algorithm for finding roots of polynomials over finite fields. This makes possible significant speed up of the decoding process of BCH, Reed-S...
Sergei V. Fedorenko, Peter Vladimirovich Trifonov
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 6 months ago
Factoring Polynomials over Finite Fields using Balance Test
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 ...
Chandan Saha
MOC
2002
85views more  MOC 2002»
13 years 5 months ago
Hensel lifting and bivariate polynomial factorisation over finite fields
This paper presents an average time analysis of a Hensel lifting based factorisation algorithm for bivariate polynomials over finite fields. It is shown that the average running ti...
Shuhong Gao, Alan G. B. Lauder
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 10 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
FOCS
2007
IEEE
14 years 18 days ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket