32 search results - page 3 / 7 » Formulae for Arithmetic on Genus 2 Hyperelliptic Curves |
ANTS
2008
Springer
13 years 7 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 1 days 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
13 years 11 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
13 years 11 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
13 years 9 months 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...