20 search results - page 1 / 4 » Efficient Arithmetic on Hessian Curves |
PKC
2010
Springer
13 years 9 months ago
2010
Springer
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
PKC
1998
Springer
13 years 11 months ago
1998
Springer
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
DCC
2000
IEEE
13 years 7 months ago
2000
IEEE
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
EUROCRYPT
2003
Springer
14 years 20 days ago
2003
Springer
FOCM
2002
13 years 7 months ago
2002
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...