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Paper: Generating more MNT elliptic curves

Authors:
Michael Scott
Paulo S.L.M Barreto
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URL: http://eprint.iacr.org/2004/058
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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
}