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Support twisted Edwards curves ?

Open ytrezq opened this issue 1 year ago • 4 comments

Simple question, but it would be a nice addition since some cases aren’t handled by the conversion to the Wiestrass form.

ytrezq avatar Jul 07 '24 20:07 ytrezq

@ytrezq it's been a while since I've worked on this repo (or touched cryptography for that matter). Are you talking about all the EC attacks?

pwang00 avatar Jul 08 '24 03:07 pwang00

I’m talking about all those where the code needs to be adapted to work on curves in the Twisted Edwards form : for example computing the order of a point in the Pohlig‑Hellman attack…

ytrezq avatar Jul 09 '24 08:07 ytrezq

@pwang00 : Not to mention https://github.com/pwang00/Cryptographic-Attacks/blob/master/Public%20Key/Elliptic%20Curves/MOV_attack.sage seems rather empty.

ytrezq avatar Jul 09 '24 08:07 ytrezq

Yeah I've kind of been AFK from this repo for a while, busy with other stuff but will implement that when I can

To make sure I understand your request, you want the attacks to work directly on twisted curves without having to map back to Weierstrass, since some curves don't work?

pwang00 avatar Jul 10 '24 04:07 pwang00