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» On Polynomial Multiplication in Chebyshev Basis
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WAIFI
2010
Springer
192views Mathematics» more  WAIFI 2010»
13 years 10 months ago
Type-II Optimal Polynomial Bases
In the 1990s and early 2000s several papers investigated the relative merits of polynomial-basis and normal-basis computations for F2n . Even for particularly squaring-friendly app...
Daniel J. Bernstein, Tanja Lange
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 5 months ago
Power Series Composition and Change of Basis
Efficient algorithms are known for many operations on truncated power series (multiplication, powering, exponential, . . . ). Composition is a more complex task. We isolate a larg...
Alin Bostan, Bruno Salvy, Éric Schost
DCC
2002
IEEE
14 years 4 months ago
Itoh-Tsujii Inversion in Standard Basis and Its Application in Cryptography and Codes
This contribution is concerned with a generalization of Itoh and Tsujii's algorithm for inversion in extension fields GF(qm ). Unlike the original algorithm, the method introd...
Jorge Guajardo, Christof Paar
CVPR
2004
IEEE
14 years 7 months ago
A New GPCA Algorithm for Clustering Subspaces by Fitting, Differentiating and Dividing Polynomials
We consider the problem of clustering data lying on multiple subspaces of unknown and possibly different dimensions. We show that one can represent the subspaces with a set of pol...
Jacopo Piazzi, René Vidal, Yi Ma
ANTS
2010
Springer
262views Algorithms» more  ANTS 2010»
13 years 9 months ago
Short Bases of Lattices over Number Fields
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
Claus Fieker, Damien Stehlé