Sciweavers

21 search results - page 2 / 5
» Asymptotic Acceleration of Solving Multivariate Polynomial S...
Sort
View
JSC
2008
78views more  JSC 2008»
13 years 5 months ago
Rational Univariate Reduction via toric resultants
We describe algorithms for solving a given system of multivariate polynomial equations via the Rational Univariate Reduction (RUR). We compute the RUR from the toric resultant of ...
Koji Ouchi, John Keyser
CANS
2009
Springer
194views Cryptology» more  CANS 2009»
14 years 5 days ago
Algebraic Attack on the MQQ Public Key Cryptosystem
Abstract. In this paper, we present an efficient attack on the multivariate Quadratic Quasigroups (MQQ) public key cryptosystem. Our cryptanalysis breaks the MQQ cryptosystem by so...
Mohamed Saied Emam Mohamed, Jintai Ding, Johannes ...
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
ASIACRYPT
2005
Springer
13 years 11 months ago
An Analysis of the XSL Algorithm
The XSL “algorithm” is a method for solving systems of multivariate polynomial equations based on the linearization method. It was proposed in 2002 as a dedicated method for ex...
Carlos Cid, Gaëtan Leurent
CDC
2009
IEEE
124views Control Systems» more  CDC 2009»
13 years 10 months ago
Lyapunov stability analysis of higher-order 2-D systems
— We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Chiaki Kojima, Paolo Rapisarda, Kiyotsugu Takaba