Sciweavers

35 search results - page 4 / 7
» On the Construction of Prime Order Elliptic Curves
Sort
View
FC
2004
Springer
129views Cryptology» more  FC 2004»
14 years 22 days ago
A Privacy-Friendly Loyalty System Based on Discrete Logarithms over Elliptic Curves
Abstract. Systems for the support of customer relationship management are becoming increasingly attractive for vendors. Loyalty systems provide an interesting possibility for vendo...
Matthias Enzmann, Marc Fischlin, Markus Schneider ...
IEICET
2008
126views more  IEICET 2008»
13 years 7 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara
ANTS
2004
Springer
97views Algorithms» more  ANTS 2004»
14 years 23 days ago
Elliptic Curves with a Given Number of Points
We present a non-archimedean method to construct, given an integer N ≥ 1, a finite field Fq and an elliptic curve E/Fq such that E(Fq) has order N.
Reinier Bröker, Peter Stevenhagen
PAIRING
2009
Springer
124views Cryptology» more  PAIRING 2009»
14 years 1 months ago
Fast Hashing to G2 on Pairing-Friendly Curves
When using pairing-friendly ordinary elliptic curves over prime fields to implement identity-based protocols, there is often a need to hash identities to points on one or both of ...
Michael Scott, Naomi Benger, Manuel Charlemagne, L...
DCC
2001
IEEE
14 years 7 months ago
How to Choose Secret Parameters for RSA-Type Cryptosystems over Elliptic Curves
Recently, and contrary to the common belief, Rivest and Silverman argued that the use of strong primes is unnecessary in the RSA cryptosystem. This paper analyzes how valid this as...
Marc Joye, Jean-Jacques Quisquater, Tsuyoshi Takag...