12 search results - page 1 / 3 » Choosing the correct elliptic curve in the CM method |
MOC
2010
12 years 11 months ago
2010
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...
CHES
2001
Springer
13 years 9 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...
JOC
2010
12 years 11 months ago
2010
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 ...
INDOCRYPT
2003
Springer
13 years 10 months ago
2003
Springer
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...
CMA
2010
13 years 1 months ago
2010
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...