Finding composite order ordinary elliptic curves using the Cocks-Pinch method

D.  Boneh; K.  Rubin; A.  Silverberg

Paper 2009/533

Finding composite order ordinary elliptic curves using the Cocks-Pinch method

D. Boneh, K. Rubin, and A. Silverberg

Abstract

We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescribed embedding degree associated to ordinary elliptic curves, and we show that new security issues arise in the composite order setting.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. To appear in the Journal of Number Theory.
Contact author(s): asilverb @ uci edu
History: 2010-05-03: last of 2 revisions; 2009-11-04: received; See all versions
Short URL: https://ia.cr/2009/533
License: CC BY

BibTeX

@misc{cryptoeprint:2009/533,
      author = {D.  Boneh and K.  Rubin and A.  Silverberg},
      title = {Finding composite order ordinary elliptic curves using the Cocks-Pinch method},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/533},
      year = {2009},
      url = {https://eprint.iacr.org/2009/533}
}