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CHES
2001
Springer
130views Cryptology» more  CHES 2001»
13 years 12 months ago
Generating Elliptic Curves of Prime Order
A variation of the Complex Multiplication (CM) method for generating elliptic curves of known order over finite fields is proposed. We give heuristics and timing statistics in th...
Erkay Savas, Thomas A. Schmidt, Çetin Kaya ...
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 8 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...
ADHOCNETS
2009
Springer
13 years 10 months ago
Efficient Distribution of Large Files in UMTS Supported by Network Coded M2M Data Transfer with Multiple Generations
This paper is a sequel of previous work, in which we have studied the traffic management problem in UMTS. The main objective was to improve the spectral efficiency of cellular netw...
Larissa Popova, Wolfgang H. Gerstacker, Wolfgang K...
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