49 search results - page 1 / 10 » Coverings of Curves of Genus 2 |
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
We shall discuss the idea of finding all rational points on a curve C by first finding an associated collection of curves whose rational points cover those of C. This classical ...
PAIRING
2010
Springer
13 years 3 months ago
2010
Springer
Constructing pairing-friendly hyperelliptic curves with small ρ-values is one of challenges for practicability of pairing-friendly hyperelliptic curves. In this paper, we describe...
MOC
2010
12 years 12 months ago
2010
The elliptic curve method (ECM) is one of the best factorization methods available. It is possible to use hyperelliptic curves instead of elliptic curves but it is in theory slower...
ANTS
2010
Springer
13 years 9 months ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
ASIACRYPT
2006
Springer
13 years 9 months ago
2006
Springer
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...