32 search results - page 1 / 7 » Formulae for Arithmetic on Genus 2 Hyperelliptic Curves |
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...
AAECC
2005
Springer
13 years 4 months ago
2005
Springer
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
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...
MICS
2010
13 years 3 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...