35 search results - page 6 / 7 » Generating Elliptic Curves of Prime Order |
IPPS
2006
IEEE
13 years 11 months ago
2006
IEEE
Elliptic curve cryptosystems are nowadays widely used in the design of many security devices. Nevertheless, since not every elliptic curve is useful for cryptographic purposes, me...
CARDIS
2000
Springer
13 years 10 months ago
2000
Springer
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
CRYPTO
2003
Springer
13 years 11 months ago
2003
Springer
On August 2002, Agrawal, Kayal and Saxena announced the first deterministic and polynomial time primality testing algorithm. For an input n, the AKS algorithm runs in heuristic t...
TAMC
2010
Springer
13 years 10 months ago
2010
Springer
In this paper, the twisted Jacobi intersections which contains Jacobi intersections as a special case is introduced. We show that every elliptic curve over the prime field with t...
CHES
2006
Springer
13 years 9 months ago
2006
Springer
A novel portable hardware architecture of the Elliptic Curve Method of factoring, designed and optimized for application in the relation collection step of the Number Field Sieve,...