32 search results - page 4 / 7 » Formulae for Arithmetic on Genus 2 Hyperelliptic Curves |
JOC
2006
13 years 7 months ago
2006
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for ...
ANTS
2004
Springer
14 years 26 days 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...
IEICET
2008
13 years 7 months ago
2008
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
ISSAC
1995
Springer
13 years 11 months ago
1995
Springer
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
ASIACRYPT
2006
Springer
13 years 11 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...