There is anequivalence given (two functions) in the Ed25519 wikipedia page, but I don't know if this allows the same curve used in both algorithms.
Yes, in the same way that if you torture a DSA key long enough you can get the Elgamal encryption algorithm out of it. But once you do that, *you're no longer using DSA*.
Likewise, Edwards DSA can be tortured into becoming a Curve25519 key. But once you do that, *you're no longer using Edwards DSA*.
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