85 search results - page 3 / 17 » Factorization with genus 2 curves |
AAECC
2005
Springer
13 years 7 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
14 years 25 days 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
14 years 1 months ago
2007
Springer
MOC
2000
13 years 7 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...
WAIFI
2010
Springer
13 years 5 months ago
2010
Springer
Abstract. We focus on the implementation and security aspects of cryptographic protocols that use Type 1 and Type 4 pairings. On the implementation front, we report improved timing...