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
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2004/058,
      author = {Michael Scott and Paulo S. L. M Barreto},
      title = {Generating more MNT elliptic curves},
      howpublished = {Cryptology ePrint Archive, Paper 2004/058},
      year = {2004},
      note = {\url{https://eprint.iacr.org/2004/058}},
      url = {https://eprint.iacr.org/2004/058}
}
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