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> Apparently, it's based on "aPAKE" which stands for "Asymmetric PAKE"

It is an "aPAKE" which stands for "augmented PAKE". An aPAKE is client-server vs peer-to-peer. The original PAKE was peer-to-peer then augmented to be client-server. A peer-to-peer PAKE is called PAKE or balanced PAKE, but "PAKE" could be use generally to mean client-server and/or peer-to-peer PAKE. aPAKEs are sometimes called unbalanced PAKEs.

I've heard people say asymmetric PAKE and symmetric PAKE (for client-server and peer-to-peer), but this causes confusion with asymmetric and symmetric cryptography. Thus should not be used. And was likely from a misunderstanding around what "a" meant in "aPAKE".

Oh there is a "double augmented PAKE" which I recently figured out a use case for that, WiFi. Also technically OPAQUE is a "double augmented PAKE", but only defined as an augmented PAKE.

(Sorry for the history lesson)




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