49 search results - page 3 / 10 » Coverings of Curves of Genus 2 |
PAIRING
2007
Springer
15 years 3 months ago
2007
Springer
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
AAECC
2005
Springer
14 years 9 months ago
2005
Springer
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
EUROCRYPT
2004
Springer
15 years 3 months ago
2004
Springer
For counting points of Jacobians of genus 2 curves defined over large prime fields, the best known method is a variant of Schoof’s algorithm. We present several improvements on...
WAIFI
2007
Springer
15 years 3 months ago
2007
Springer
MOC
2000
14 years 9 months ago
2000
These tables record results on curves with many points over finite fields. For relatively small genus (0 g 50) and q a small power of 2 or 3 we give in two tables the best presen...