19 search results - page 1 / 4 » Trapdooring Discrete Logarithms on Elliptic Curves over Ring... |
ASIACRYPT
2000
Springer
13 years 9 months ago
2000
Springer
This paper introduces three new probabilistic encryption schemes using elliptic curves over rings. The cryptosystems are based on three specific trapdoor mechanisms allowing the r...
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
Abstract. Essentially all subexponential time algorithms for the discrete logarithm problem over nite elds are based on the index calculus idea. In proposing cryptosystems based on...
ISAAC
2004
Springer
13 years 10 months ago
2004
Springer
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from elli...
ASIACRYPT
2000
Springer
13 years 9 months ago
2000
Springer
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
ALGORITHMICA
2006
13 years 4 months ago
2006
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from ellip...