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   phryk 🏴 (phryk@mastodon.social)'s status on Friday, 17-Jan-2025 23:41:13 JST phryk 🏴

   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.

   • Embed this notice
     Arne Babenhauserheide (arnebab@rollenspiel.social)'s status on Friday, 17-Jan-2025 23:41:13 JST Arne Babenhauserheide

     in reply to

     @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"

   • Embed this notice
     Arne Babenhauserheide (arnebab@rollenspiel.social)'s status on Friday, 17-Jan-2025 23:52:38 JST Arne Babenhauserheide

     in reply to

     @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.

   • Embed this notice
     phryk 🏴 (phryk@mastodon.social)'s status on Friday, 17-Jan-2025 23:52:39 JST phryk 🏴

     in reply to

     • Arne Babenhauserheide

     @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.

   • Embed this notice
     Arne Babenhauserheide (arnebab@rollenspiel.social)'s status on Friday, 17-Jan-2025 23:52:45 JST Arne Babenhauserheide

     in reply to

     @phryk (and I like it a lot that you are actually asking that question! Though I can’t answer it … can you ping me if you find an answer?)

   • Embed this notice
     Arne Babenhauserheide (arnebab@rollenspiel.social)'s status on Saturday, 18-Jan-2025 01:07:07 JST Arne Babenhauserheide

     in reply to

     @phryk that might be — I’m really not deep enough in it to give you definite answers.

     But it sounds plausible.

   • Embed this notice
     phryk 🏴 (phryk@mastodon.social)'s status on Saturday, 18-Jan-2025 01:07:08 JST phryk 🏴

     in reply to

     • Arne Babenhauserheide

     @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?

     Arne Babenhauserheide repeated this.
   • Embed this notice
     chebra (chebra@mstdn.io)'s status on Saturday, 18-Jan-2025 01:47:23 JST chebra

     in reply to

     • Arne Babenhauserheide

     @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 ?