Thursday, 20 November 2025

Elliptic Curves Assert Presence on Linux

WinJoes may be surprised to see refs to elliptic curves appearing in their Linux VMs in their D2D Ops.

These appearances often reference EdDSA (e.g. in messages like "using EDDSA key 0327BE68.....").

EdDSA refers to the Edwards-curve Digital Signature Algorithm (EdDSA) in public key cryptography.

Edwards curves are an artefact of algebraic geometry and named after the American mathematician Harold Edwards.  The specific form of Edwards curves used in the algorithm are known as twisted Edwards curves, where the "twist" comes from a non-unitary coefficient (from some field F) in the curve equation. The twisted Edwards curve equation is an interesting equation and the first question when you see it is how did someone come up with it.

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