CryptoDB
Generating more MNT elliptic curves
Authors: | |
---|---|
Download: | |
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. |
BibTeX
@misc{eprint-2004-12032, title={Generating more MNT elliptic curves}, booktitle={IACR Eprint archive}, keywords={public-key cryptography / Elliptic curves, pairing-based cryptosystems}, url={http://eprint.iacr.org/2004/058}, note={ mike@computing.dcu.ie 12486 received 23 Feb 2004, last revised 9 Mar 2004}, author={Michael Scott and Paulo S.L.M Barreto}, year=2004 }