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» Algorithms for Exponentiation in Finite Fields
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JCT
2010
77views more  JCT 2010»
13 years 6 months ago
Obtainable sizes of topologies on finite sets
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order ...
Kári Ragnarsson, Bridget Eileen Tenner
CIS
2006
Springer
13 years 11 months ago
A New Parallel Multiplier for Type II Optimal Normal Basis
In hardware implementation for the finite field, the use of normal basis has several advantages, especially the optimal normal basis is the most efficient to hardware implementati...
Chang Han Kim, Yongtae Kim, Sung Yeon Ji, IlWhan P...
AAECC
2002
Springer
126views Algorithms» more  AAECC 2002»
13 years 7 months ago
Toric Varieties Hirzebruch Surfaces and Error-Correcting Codes
Abstract. For any integral convex polytope in R2 there is an explicit construction of an error-correcting code of length (q - 1)2 over the finite field Fq, obtained by evaluation o...
Johan P. Hansen
ML
2002
ACM
127views Machine Learning» more  ML 2002»
13 years 7 months ago
Sparse Regression Ensembles in Infinite and Finite Hypothesis Spaces
We examine methods for constructing regression ensembles based on a linear program (LP). The ensemble regression function consists of linear combinations of base hypotheses generat...
Gunnar Rätsch, Ayhan Demiriz, Kristin P. Benn...
JSC
2002
61views more  JSC 2002»
13 years 7 months ago
Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm
This paper describes a new algorithm for computing linear generators (vector generating polynomials) for matrix sequences, running in subquadratic time. This algorithm applies in ...
Emmanuel Thomé