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ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 9 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran
AAECC
2008
Springer
83views Algorithms» more  AAECC 2008»
13 years 5 months ago
Fast separable factorization and applications
Abstract. In this paper we show that the separable decomposition of a univariate polynomial can be computed in softly optimal time, in terms of the number of arithmetic operations ...
Grégoire Lecerf
GI
2007
Springer
13 years 11 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
ASIACRYPT
2006
Springer
13 years 9 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...