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» On solving sparse algebraic equations over finite fields
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PC
2002
158views Management» more  PC 2002»
13 years 5 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch
PRESENCE
2006
104views more  PRESENCE 2006»
13 years 6 months ago
Physically Realistic Virtual Surgery Using the Point-Associated Finite Field (PAFF) Approach
The generation of multimodal virtual environments for surgical training is complicated by the necessity to develop heterogeneous simulation scenarios such as surgical incision, ca...
Suvranu De, Yi-Je Lim, Manivannan Muniyandi, Manda...
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 10 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
ACISP
2004
Springer
13 years 11 months ago
Theoretical Analysis of XL over Small Fields
Abstract. XL was first introduced to solve determined or overdetermined systems of equations over a finite field as an “algebraic attack” against multivariate cryptosystems....
Bo-Yin Yang, Jiun-Ming Chen
CSR
2008
Springer
13 years 8 months ago
Cryptanalysis of Stickel's Key Exchange Scheme
We offer cryptanalysis of a key exchange scheme due to Stickel [11], which was inspired by the well-known Diffie-Hellman protocol. We show that Stickel's choice of platform (t...
Vladimir Shpilrain