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Paper 2004/058
Generating more MNT elliptic curves
Michael Scott and Paulo S.L.M Barreto
Abstract
In their seminal paper, Miyaji, Nakabayashi and Takano~\cite{miyaji-nakabayashi-takano} describe a simple method for the creation of elliptic curves of prime order with embedding degree 3, 4, or 6. Such curves are important for the realisation of pairing-based cryptosystems on ordinary (non-supersingular) elliptic curves. We provide an alternative derivation of their results, and extend them to allow for the generation of many more suitable curves.
Note: Minor revisions/corrections
Metadata
- Available format(s)
- PDF PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Elliptic curvespairing-based cryptosystems
- Contact author(s)
- mike @ computing dcu ie
- History
- 2004-03-09: last of 2 revisions
- 2004-02-23: received
- See all versions
- Short URL
- https://ia.cr/2004/058
- License
-
CC BY