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GI
2007
Springer
14 years 1 months ago
On Factoring Arbitrary Integers with Known Bits
: We study the factoring with known bits problem, where we are given a composite integer N = p1p2 . . . pr and oracle access to the bits of the prime factors pi, i = 1, . . . , r. ...
Mathias Herrmann, Alexander May
COMPGEOM
1989
ACM
13 years 11 months ago
Computing the Irreducible Real Factors and Components of an Algebraic Curve
We present algorithms that decompose an algebraic curve with rational coefficients in its defining bivariate equation into its irreducible real factors and its non-empty irreducib...
Erich Kaltofen
WCC
2005
Springer
117views Cryptology» more  WCC 2005»
14 years 26 days ago
Interpolation of Functions Related to the Integer Factoring Problem
The security of the RSA public key cryptosystem depends on the intractability of the integer factoring problem. This paper shall give some theoretical support to the assumption of ...
Clemens Adelmann, Arne Winterhof
ISSAC
2004
Springer
118views Mathematics» more  ISSAC 2004»
14 years 22 days ago
The approximate GCD of inexact polynomials
This paper presents an algorithm and its implementation for computing the approximate GCD (greatest common divisor) of multivariate polynomials whose coefficients may be inexact. ...
Zhonggang Zeng, Barry H. Dayton
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 9 months ago
Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph
The Densest k-subgraph problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant g...
Aditya Bhaskara, Moses Charikar, Aravindan Vijayar...