35 search results - page 1 / 7 » Generating Elliptic Curves of Prime Order |
INDOCRYPT
2001
Springer
14 years 3 months ago
2001
Springer
We present an algorithm for generating elliptic curves of prime order over Optimal Extension Fields suitable for use in cryptography. The algorithm is based on the theory of Comple...
DCC
2006
IEEE
14 years 10 months ago
2006
IEEE
In their seminal paper, Miyaji, Nakabayashi and Takano [12] describe a simple method for the creation of elliptic curves of prime order with embedding degree 3, 4, or 6. Such curve...
ICISC
2004
14 years 16 days ago
2004
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 ...
ANTS
2008
Springer
14 years 1 months ago
2008
Springer
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...
CHES
2001
Springer
14 years 3 months ago
2001
Springer
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...