Add NUMS curve numsp512d1 #4251
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The NUMS curves are a set of curves generated using a simple and straighforward set of criteria, while also admitting very efficient implementation. Further details can be found in the IETF draft draft-black-numscurves-02
The pcurves addition formula implicitly assumed that if the y coordinates were identical, then the points were as well. This is not necessarily the case.
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@randombit Will you also support nums t1 curves? I have no need for it personally, but SymCrypt by Microsoft supports them (but not nums d1 curves), and they are in fact the only library supported by Cryptofuzz which supports nums natively. Having an oracle for nums t1 curves could benefit the fuzzing of both libraries. |
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@guidovranken Interesting, I was unaware of this. t1 is a completely different thing (Edwards curve with cofactor 4) so wouldn't happen as part of this ongoing project anyway. |
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The NUMS curves are a set of curves generated using a simple and straighforward set of criteria, while also admitting very efficient implementation. Further details can be found in the IETF draft draft-black-numscurves-02