Paper 2015/577 Original: eprint.iacr.org/2015/577 ↗

Twist Insecurity

Manfred Lochter
Andreas Wiemers
Abstract

Several authors suggest that the use of twist secure Elliptic Curves automatically leads to secure implementations. We argue that even for twist secure curves a point validation has to be performed. We illustrate this with examples where the security of EC-algorithms is strongly degraded, even for twist secure curves. We show that the usual blindig countermeasures against SCA are insufficient (actually they introduce weaknesses) if no point validation is performed, or if an attacker has access to certain intermediate points. In this case the overall security of the system is reduced to the length of the blinding parameter. We emphazise that our methods work even in the case of a very high identification error rate during the SCA-phase.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2015-06-17: last updated
2015-06-17: published
Short URL
https://ia.cr/2015/577
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/577,
      author = {Manfred Lochter and Andreas Wiemers},
      title = {Twist Insecurity},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/577},
      year = {2015},
      url = {https://eprint.iacr.org/2015/577}
}
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