𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Efficient Generation of Prime-Order Elliptic Curves

✍ Scribed by Elisavet Konstantinou; Aristides Kontogeorgis; Yannis C Stamatiou; Christos Zaroliagis


Publisher
Springer
Year
2009
Tongue
English
Weight
496 KB
Volume
23
Category
Article
ISSN
0933-2790

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Efficient generation of secure elliptic
✍ Elisavet Konstantinou; Yannis C. Stamatiou; Christos Zaroliagis πŸ“‚ Article πŸ“… 2006 πŸ› Springer-Verlag 🌐 English βš– 386 KB
Prime analogues of the ErdΕ‘s–Kac theorem
✍ Yu-Ru Liu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 146 KB

Let E/Q be an elliptic curve. For a prime p of good reduction, let E(F p ) be the set of rational points defined over the finite field F p . We denote by Ο‰(#E(F p )), the number of distinct prime divisors of #E(F p ). We prove that the quantity (assuming the GRH if E is non-CM) Ο‰(#E(F p ))log log p