8 search results - page 1 / 2 » Fast explicit formulae for genus 2 hyperelliptic curves usin... |
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...
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...
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...
ITCC
2005
IEEE
13 years 10 months ago
2005
IEEE
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
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...