85 search results - page 1 / 17 » Factorization with genus 2 curves |
MOC
2010
13 years 2 days 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...
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...
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...
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
Using powerful tools on genus 2 curves like the Kummer variety, we generalize the Montgomery method for scalar multiplication to the jacobian of these curves. Previously this metho...
ITNG
2007
IEEE
13 years 11 months ago
2007
IEEE
This contribution proposes a modification of method of divisors group operation in the Jacobian of hyperelliptic curve over even and odd characteristic fields in projective coordi...