Diversity and Transparency for ECC

Jean-Pierre Flori; Jérôme Plût; Jean-René Reinhard; Martin Ekerå

Paper 2015/659

Diversity and Transparency for ECC

Jean-Pierre Flori, Jérôme Plût, Jean-René Reinhard, and Martin Ekerå

Abstract

Generating and standardizing elliptic curves to use them in a cryptographic context is a hard task. In this note, we don’t make an explicit proposal for an elliptic curve, but we deal with the following issues. Security: We give a list of criteria that should be satisfied by a secure elliptic curve. Although a few of these criteria are incompatible, we detail what we think are the best choices for optimal security. Transparency: We sketch a way to generate a curve in a fully transparent way so that it can be trusted and not suspected to belong to a (not publicly known to be) vulnerable class. In particular, since the computational cost of verifying the output of such a process may be quite high, we sketch out the format of a certificate that eases the computations. We think that this format might deserve being standardized.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. NIST ECC Workshop 2015
Keywords: elliptic curve cryptosystem
Contact author(s): jean-pierre flori @ ssi gouv fr
History: 2015-07-02: received
Short URL: https://ia.cr/2015/659
License: CC BY

BibTeX

@misc{cryptoeprint:2015/659,
      author = {Jean-Pierre Flori and Jérôme Plût and Jean-René Reinhard and Martin Ekerå},
      title = {Diversity and Transparency for {ECC}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/659},
      year = {2015},
      url = {https://eprint.iacr.org/2015/659}
}