Name
Title | ||
|---|---|---|
Ecient Arithmetic on Genus 2 Hyperelliptic Curves over Finite Fields via Explicit Formulae |
Abstract | ||
|---|---|---|
We extend the explicit formulae for arithmetic on genus two curves of (13, 21) to elds of even characteristic and to arbitrary equation of the curve. These formulae can be evaluated faster than the more general Cantor algorithm and allow to obtain faster arithmetic on a hyperelliptic genus 2 curve than on elliptic curves. We give timings for implementations using various libraries for the eld arithmetic. |
Year | Venue | Keywords |
|---|---|---|
2002 | IACR Cryptology ePrint Archive | hyperelliptic curve,finite field,elliptic curve |
Field | DocType | Volume |
Explicit formulae,Hyperelliptic curve,Algebra,Algebraic curve,Abelian integral,Hyperelliptic curve cryptography,Genus (mathematics),Jacobian curve,Edwards curve,Mathematics | Journal | 2002 |
Citations | PageRank | References |
15 | 1.20 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tanja Lange | 1 | 22 | 2.70 |