30 search results - page 3 / 6 » Primality Proving with Elliptic Curves |
CRYPTO
2007
Springer
13 years 12 months ago
2007
Springer
An elliptic curve random number generator (ECRNG) has been approved in a NIST standards and proposed for ANSI and SECG draft standards. This paper proves that, if three conjecture...
INDOCRYPT
2004
Springer
13 years 11 months ago
2004
Springer
Abstract. We present a new elliptic curve cryptosystem with fast encryption and key generation, which is provably secure in the standard model. The scheme uses arithmetic modulo n2...
ANTS
2010
Springer
13 years 9 months ago
2010
Springer
![Visualizing Elements of Sha[3] in Genus 2 Jacobians](https://www.sciweavers.org/files/imagecache/thumbnail/default/content.jpg "Visualizing Elements of Sha[3] in Genus 2 Jacobians")
Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...
PKC
2004
Springer
13 years 11 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
2003
Springer
13 years 11 months ago
2003
Springer
Abstract. We generalize the Weil descent construction of the GHS attack to arbitrary Artin-Schreier extensions. We give a formula for the characteristic polynomial of Frobenius of ...