[curves] Same Value Analysis on Edwards Curves

Ray Dillinger bear at sonic.net
Mon Jul 27 10:19:53 PDT 2015


I have no strong mathematical reason to believe this, but I have
a nasty suspicion that the same properties that make ECC curves
fast to compute are likely to be the properties that enable future
attacks that no one has thought of yet.  The recent break on
Edwards Curves seems tied to their shift properties.

Are there any canonical examples of completely un-optimized curves
that mean you have to use actual bignumber math to do every step of?

				Bear

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