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» An Efficient Method for Evaluating Complex Polynomials
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ARITH
2007
IEEE
13 years 11 months ago
Efficient polynomial L-approximations
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Nicolas Brisebarre, Sylvain Chevillard
JOC
2010
96views more  JOC 2010»
13 years 2 months ago
On the Efficient Generation of Prime-Order Elliptic Curves
We consider the generation of prime-order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
ICISC
2004
108views Cryptology» more  ICISC 2004»
13 years 9 months ago
Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
TCS
2008
13 years 7 months ago
On the complexity of real root isolation using continued fractions
We present algorithmic, complexity and implementation results concerning real root isolation of integer univariate polynomials using the continued fraction expansion of real algeb...
Elias P. Tsigaridas, Ioannis Z. Emiris
ACMSE
2006
ACM
13 years 11 months ago
Achieving efficient polynomial multiplication in fermat fields using the fast Fourier transform
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
Selçuk Baktir, Berk Sunar