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Paper 2008/250
Pairings on hyperelliptic curves with a real model
Steven Galbraith and Xibin Lin and David Mireles
Abstract
We analyse the efficiency of pairing computations on hyperelliptic curves given by a real model using a balanced divisor at infinity. Several optimisations are proposed and analysed. Genus two curves given by a real model arise when considering pairing friendly groups of order dividing $p^{2}-p+1$. We compare the performance of pairings on such groups in both elliptic and hyperelliptic versions. We conclude that pairings can be efficiently computable in real models of hyperelliptic curves.
Metadata
- Available format(s)
- Category
- Implementation
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- hyperelliptic curvespairingsreal models
- Contact author(s)
- david mireles @ gmail com
- History
- 2008-06-03: received
- Short URL
- https://ia.cr/2008/250
- License
-
CC BY