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CAGD
2008
80views more  CAGD 2008»
13 years 7 months ago
Division algorithms for Bernstein polynomials
Three division algorithms are presented for univariate Bernstein polynomials: an algorithm for finding the quotient and remainder of two univariate polynomials, an algorithm for c...
Laurent Busé, Ron Goldman
JOC
2007
125views more  JOC 2007»
13 years 7 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
CORR
2011
Springer
173views Education» more  CORR 2011»
13 years 2 months ago
Exploiting symmetries in SDP-relaxations for polynomial optimization
Abstract. We consider the issue of exploiting symmetries in the hierarchy of semidefinite programming relaxations recently introduced in polynomial optimization. We focus on probl...
Cordian Riener, Thorsten Theobald, Lina Jansson An...
CORR
2007
Springer
173views Education» more  CORR 2007»
13 years 7 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
COMPGEOM
2007
ACM
13 years 11 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...