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» Practical polynomial factoring in polynomial time
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ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
12 years 7 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
CORR
2007
Springer
173views Education» more  CORR 2007»
13 years 4 months ago
Computing modular polynomials in quasi-linear time
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Andreas Enge
JOC
2007
125views more  JOC 2007»
13 years 4 months ago
Deterministic Polynomial-Time Equivalence of Computing the RSA Secret Key and Factoring
Abstract. We address one of the most fundamental problems concerning the RSA cryptosystem: does the knowledge of the RSA public and secret key-pair (e, d) yield the factorization o...
Jean-Sébastien Coron, Alexander May
ICALP
2010
Springer
13 years 9 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
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