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PKC
2007
Springer
165views Cryptology» more  PKC 2007»
14 years 1 months ago
Deterministic Polynomial Time Equivalence Between Factoring and Key-Recovery Attack on Takagi's RSA
Abstract. For RSA, May showed a deterministic polynomial time equivalence of computing d to factoring N(= pq). On the other hand, Takagi showed a variant of RSA such that the decry...
Noboru Kunihiro, Kaoru Kurosawa
ISSAC
2001
Springer
119views Mathematics» more  ISSAC 2001»
13 years 11 months ago
Algorithms for trigonometric polynomials
In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonomet...
Jamie Mulholland, Michael B. Monagan
JSC
2006
132views more  JSC 2006»
13 years 7 months ago
From an approximate to an exact absolute polynomial factorization
We propose an algorithm for computing an exact absolute factorization of a bivariate polynomial from an approximate one. This algorithm is based on some properties of the algebrai...
Guillaume Chèze, André Galligo
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 26 days 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
DM
1998
56views more  DM 1998»
13 years 7 months ago
Factoring cardinal product graphs in polynomial time
In this paper a polynomial algorithm for the prime factorization of finite, connected nonbipartite graphs with respect to the cardinal product is presented. This algorithm also d...
Wilfried Imrich