Name
Abstract | ||
|---|---|---|
Distortion maps are a useful tool for pairing based cryptography. Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1 is more complicated, since the full torsion subgroup has rank 2g. In this paper, we prove that distortion maps always exist for supersingular curves of genus g > 1. We also give several examples of curves of genus 2 with explicit distortion maps for embedding degrees 4, 5, 6, and 12. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1515/JMC.2009.001 | JOURNAL OF MATHEMATICAL CRYPTOLOGY |
Keywords | Field | DocType |
Hyperelliptic curve cryptography, pairings, supersingular curves, distortion maps | Discrete mathematics,Supersingular elliptic curve,Family of curves,Embedding,Pairing-based cryptography,Hyperelliptic curve cryptography,Distortion,Mathematics,Torsion subgroup,Elliptic curve | Journal |
Volume | Issue | ISSN |
3 | 1 | 1862-2976 |
Citations | PageRank | References |
6 | 0.59 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Steven D. Galbraith | 1 | 477 | 22.59 |
| Jordi Pujolàs | 2 | 24 | 5.98 |
| Christophe Ritzenthaler | 3 | 27 | 5.87 |
| Benjamin Smith | 4 | 30 | 5.54 |