Generating more MNT elliptic curves

Michael Scott; Paulo S. L. M Barreto

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 curves pairing-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

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}
}