32 search results - page 3 / 7 » Formulae for Arithmetic on Genus 2 Hyperelliptic Curves |
ANTS
2008
Springer
13 years 10 months ago
2008
Springer
We discuss arithmetic in the Jacobian of a hyperelliptic curve C of genus g. The traditional approach is to fix a point P C and represent divisor classes in the form E - d(P) wher...
ISCAS
2007
IEEE
14 years 2 months ago
2007
IEEE
Abstract— This work describes the smallest known hardware implementation for Elliptic/Hyperelliptic Curve Cryptography (ECC/HECC). We propose two solutions for Publickey Cryptogr...
ACISP
2005
Springer
14 years 2 months ago
2005
Springer
We deal with a divisor class halving algorithm on hyperelliptic curve cryptosystems (HECC), which can be used for scalar multiplication, instead of a doubling algorithm. It is not ...
CHES
2003
Springer
14 years 1 months ago
2003
Springer
For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic cur...
ANTS
2010
Springer
14 years 14 days ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ï...