why did Ed25519 used Edward25519 instead of Curve25519 directly?
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AIUI Curve25519 doesn't have point addition formulas, just a point multiplication algorithm that throws away the sign; that works for DH but not for Schnorr.
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You’re referring to a specific algorithm (Montgomery ladder) for a specific operation (X25519). Regarding the curve itself, point addition is not a problem if you have both coordinates.
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Isn't addition faster as well?
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