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ICISC
2004
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14 years 25 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...
EUROCRYPT
2006
Springer
14 years 3 months ago
Security Analysis of the Strong Diffie-Hellman Problem
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
Jung Hee Cheon
INDOCRYPT
2001
Springer
14 years 3 months ago
Elliptic Curves of Prime Order over Optimal Extension Fields for Use in Cryptography
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...
Harald Baier