Sciweavers

425 search results - page 1 / 85
» Polynomial Factorization 1987-1991
Sort
View
STOC
1995
ACM
135views Algorithms» more  STOC 1995»
13 years 11 months ago
Subquadratic-time factoring of polynomials over finite fields
New probabilistic algorithms are presented for factoring univariate polynomials over finite fields. The algorithms factor a polynomial of
Erich Kaltofen, Victor Shoup
ISSAC
2004
Springer
106views Mathematics» more  ISSAC 2004»
14 years 21 days ago
Factoring polynomials via polytopes
We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
Fatima Abu Salem, Shuhong Gao, Alan G. B. Lauder
ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
12 years 10 months ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
ICALP
2010
Springer
14 years 4 days ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
PKC
2009
Springer
175views Cryptology» more  PKC 2009»
14 years 8 months ago
Implicit Factoring: On Polynomial Time Factoring Given Only an Implicit Hint
We address the problem of polynomial time factoring RSA moduli N1 = p1q1 with the help of an oracle. As opposed to other approaches that require an oracle that explicitly outputs b...
Alexander May, Maike Ritzenhofen