Sciweavers

34 search results - page 1 / 7
» Implicit Factoring: On Polynomial Time Factoring Given Only ...
Sort
View
PKC
2009
Springer
175views Cryptology» more  PKC 2009»
14 years 5 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
PKC
2010
Springer
126views Cryptology» more  PKC 2010»
13 years 7 months ago
Implicit Factoring with Shared Most Significant and Middle Bits
We study the problem of integer factoring given implicit information of a special kind. The problem is as follows: let N1 = p1q1 and N2 = p2q2 be two RSA moduli of same bit-size, w...
Jean-Charles Faugère, Raphaël Marinier...
ASIACRYPT
2008
Springer
13 years 7 months ago
Solving Linear Equations Modulo Divisors: On Factoring Given Any Bits
We study the problem of finding solutions to linear equations modulo an unknown divisor p of a known composite integer N. An important application of this problem is factorization ...
Mathias Herrmann, Alexander May
AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 5 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
ICALP
2010
Springer
13 years 10 months 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