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» Primality Proving with Elliptic Curves
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ISSAC
1992
Springer
109views Mathematics» more  ISSAC 1992»
13 years 8 months ago
Easy Numbers for the Elliptic Curve Primality Proving Algorithm
We present some new classes of numbers that are easier to test for primality with the Elliptic Curve Primality Proving algorithm than average numbers. It is shown that this is the...
François Morain
ANTS
1998
Springer
123views Algorithms» more  ANTS 1998»
13 years 9 months ago
Primality Proving Using Elliptic Curves: An Update
In 1986, following the work of Schoof on counting points on elliptic curves over finite fields, new algorithms for primality proving emerged, due to Goldwasser and Kilian on the on...
François Morain
TPHOL
2007
IEEE
13 years 11 months ago
Primality Proving with Elliptic Curves
Laurent Théry, Guillaume Hanrot
CRYPTO
2003
Springer
124views Cryptology» more  CRYPTO 2003»
13 years 10 months ago
Primality Proving via One Round in ECPP and One Iteration in AKS
On August 2002, Agrawal, Kayal and Saxena announced the first deterministic and polynomial time primality testing algorithm. For an input n, the AKS algorithm runs in heuristic t...
Qi Cheng
AAECC
2003
Springer
104views Algorithms» more  AAECC 2003»
13 years 8 months ago
Interpolation of the Elliptic Curve Diffie-Hellman Mapping
Abstract. We prove lower bounds on the degree of polynomials interpolating the Diffie
Tanja Lange, Arne Winterhof