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» Computation of class numbers of quadratic number fields
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CTRSA
2006
Springer
183views Cryptology» more  CTRSA 2006»
14 years 4 days ago
Efficient Doubling on Genus 3 Curves over Binary Fields
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is scalar multiplication by an integer k, i.e., computing an integer k times a divisor D on ...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 8 months ago
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization
In this paper, we give a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which ...
Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao
CISS
2008
IEEE
14 years 2 months ago
On sparse representations of linear operators and the approximation of matrix products
—Thus far, sparse representations have been exploited largely in the context of robustly estimating functions in a noisy environment from a few measurements. In this context, the...
Mohamed-Ali Belabbas, Patrick J. Wolfe
GECCO
2006
Springer
163views Optimization» more  GECCO 2006»
14 years 3 days ago
The quadratic multiple knapsack problem and three heuristic approaches to it
The quadratic multiple knapsack problem extends the quadratic knapsack problem with K knapsacks, each with its own capacity Ck. A greedy heuristic fills the knapsacks one at a tim...
Amanda Hiley, Bryant A. Julstrom
SDM
2008
SIAM
140views Data Mining» more  SDM 2008»
13 years 10 months ago
Large-Scale Many-Class Learning
In many multiclass learning scenarios, the number of classes is relatively large (thousands,...), or the space and time efficiency of the learning system can be crucial. We invest...
Omid Madani, Michael Connor