369 search results - page 1 / 74 » Arithmetic of Generalized Jacobians |
ANTS
2006
Springer
13 years 8 months ago
2006
Springer
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came from the observation that ...
ASIACRYPT
2003
Springer
13 years 8 months ago
2003
Springer
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
MICS
2010
13 years 2 months ago
2010
In the early 1990s, Flynn gave an explicit description of the Jacobian of a genus 2 hyperelliptic curve to perform efficient arithmetic on these objects. In this paper, we give a ...
IACR
2011
12 years 4 months ago
2011
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
PKC
2004
Springer
13 years 9 months ago
2004
Springer
