𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New schemes for sharing points on an elliptic curve

✍ Scribed by Duo Liu; Dongping Huang; Ping Luo; Yiqi Dai

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
269 KB
Volume
56
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A note on the x-coordinate of points on
A note on the x-coordinate of points on an elliptic curve in characteristic two
✍ N.P. Smart πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 42 KB

We consider how a linear condition on the bits representing an x-coordinate of a point on an elliptic curve over a field of characteristic two can lead to problems both in elliptic curve based Diffie-Hellman key agreement and the method of distinguished points for solving the elliptic curve discrete

Computing the order of points on an elli
Computing the order of points on an elliptic curve modulo N is as difficult as factoring N
✍ S. MartΓ­n; P. Morillo; J.L. Villar πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 292 KB

## Communicated by J. Lagarias Abstract--Given a square-free integer N, the group of points on an elliptic curve over the ring ZN is defined in the natural way. We prove that computing the order of points on elliptic curves over ZN is as difficult as factoring N, in the sense of randomly polynomia