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JOC
2010
96views more  JOC 2010»
13 years 6 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»
14 years 26 days 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...
INDOCRYPT
2003
Springer
14 years 4 months ago
On the Construction of Prime Order Elliptic Curves
We consider a variant of the Complex Multiplication (CM) method for constructing elliptic curves (ECs) of prime order with additional security properties. Our variant uses Weber po...
Elisavet Konstantinou, Yannis C. Stamatiou, Christ...
EUROPKI
2004
Springer
14 years 4 months ago
On the Use of Weber Polynomials in Elliptic Curve Cryptography
Abstract. In many cryptographic applications it is necessary to generate elliptic curves (ECs) with certain security properties. These curves are commonly constructed using the Com...
Elisavet Konstantinou, Yannis C. Stamatiou, Christ...