Paper 2009/620 Original: eprint.iacr.org/2009/620 ↗

Security of ECQV-Certified ECDSA Against Passive Adversaries

Daniel R. L. Brown
Matthew J. Campagna
Scott A. Vanstone
Abstract

We show that the elliptic curve Qu-Vanstone implicit certificate scheme (ECQV), when composed with the Elliptic Curve Digital Signature Algorithm (ECDSA), is secure against passive adversaries under the combined assumption of the random oracle model and the generic group model,---if the ECQV certificate itself is excluded from the signable message space, because of an attack of Kravitz. In contrast, we detail an attack on the composition of another implicit certificate scheme, proposed by Pintsov and Vanstone for Optimal Mail Certificates (OMC), and ECDSA. This composition attack forges an implicitly certified ECDSA signature, and is passive in the sense of needing no interaction with the signer or the certification authority. (Pintsov and Vanstone did not propose combining OMC with ECDSA.)

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2011-03-09: last updated
2009-12-17: published
Short URL
https://ia.cr/2009/620
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/620,
      author = {Daniel R.  L.  Brown and Matthew J.  Campagna and Scott A.  Vanstone},
      title = {Security of ECQV-Certified ECDSA Against Passive Adversaries},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/620},
      year = {2009},
      url = {https://eprint.iacr.org/2009/620}
}
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