8 search results - page 1 / 2 » Parallelizing Explicit Formula for Arithmetic in the Jacobia... |
ASIACRYPT
2003
Springer
14 years 2 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 9 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 ...
ITNG
2007
IEEE
14 years 5 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...
IACR
2011
12 years 10 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...
ANTS
2006
Springer
14 years 2 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 ...