ICISC
2004
14 years 1 months 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 ...
EUROCRYPT
2006
Springer
14 years 4 months ago
2006
Springer
Let g be an element of prime order p in an abelian group and Zp. We show that if g, g , and gd are given for a positive divisor d of p - 1, we can compute the secret in O(log p
INDOCRYPT
2001
Springer
14 years 5 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...