Generating more MNT elliptic curves

Michael Scott; Paulo S. L. M Barreto

Paper 2004/058 Original: eprint.iacr.org/2004/058 ↗

Generating more MNT elliptic curves

Michael Scott

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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2004-03-09: last updated; 2004-02-23: published
Short URL: https://ia.cr/2004/058
License: https://creativecommons.org/licenses/by/4.0/

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},
      url = {https://eprint.iacr.org/2004/058}
}