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And not a single fucking video I find even *attempts* to explain what the fuck the "elliptic" in elliptic curve means.
This is beyond abysmal.
@phryk isn’t that because geometry of ellipses is a hard to reverse problem?
Wikipedia has you covered: https://en.wikipedia.org/wiki/Elliptic-curve_cryptography
"the base assumption is that finding the discrete logarithm of a random elliptic curve element with respect to a publicly known base point is infeasible"
@ArneBab Yeah, that part I get, but I don't get why and none of the other lower-level stuff either.
Like, beginning at "elliptic" – literally none of the elliptic curve plots I have seen was actually an ellipsis? And many actually contained a closed curve plus another curve?
Like, the more I look into it, the less sense it all makes.
@phryk Wikipedia states that it’s a three dimensional ellipsis with the third point in the infinity. That ellipsis gets projected on a two dimensional plane.
Why it’s often open, I don’t know.
But I’m also not deep in the details.
@ArneBab Huh, so the plots are actually of intersections of a 3D structure on some plane?
Then, shouldn't it be called spheroid cryptography or something like that?
@phryk @ArneBab The wiki article actually answers that:
> correspond to embeddings of the torus into the complex projective plane
and
> An elliptic curve is not an ellipse in the sense of a projective conic, ... However, there is a natural representation of real elliptic curves with shape invariant j ≥ 1 as ellipses in the hyperbolic plane
(and that's enough math language for a month) Anyway have you seen https://www.youtube.com/watch?v=NF1pwjL9-DE ?