10 search results - page 1 / 2 » Some Improvements to 4-Descent on an Elliptic Curve |
ANTS
2008
Springer
13 years 6 months ago
2008
Springer
The theory of 4-descent on elliptic curves has been developed in the PhD theses of Siksek [18], Womack [21] and Stamminger [20]. Prompted by our use of 4-descent in the search for ...
IPL
2007
13 years 4 months ago
2007
The use of elliptic curve cryptosystems on embedded systems has been becoming widespread for some years. Therefore the resistance of such cryptosystems to side-channel attacks is ...
PKC
2004
Springer
13 years 10 months ago
2004
Springer
The isogeny for elliptic curve cryptosystems was initially used for the efficient improvement of order counting methods. Recently, Smart proposed the countermeasure using isogeny f...
EUROCRYPT
2012
Springer
11 years 7 months ago
2012
Springer
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
ITCC
2005
IEEE
13 years 10 months ago
2005
IEEE
In many applications a software implementation of ECC (Elliptic Curve Cryptography) might be inappropriate due to performance requirements, therefore hardware implementations are ...