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EdDSA, Edwards-curve Digital Signature Algorithm (EdDSA), is a digital signature scheme using a variant of Schnorr signature based on Twisted Edwards curves (source).

Schnorr signatures have a remarkable property: linearity. This allows multiple parties to collaborate to produce a valid signature for the sum of their public keys.

  1. Does EdDSA provide the same security guarantees when aggregating signatures or deriving a new signature?
  2. Can we apply the same blind signature schema of Schnorr for EdDSA?
  3. If yes, what are the secure EdDSA aggregation constructions?

I found the following constructions for EdDSA, but I'm not sure if they have been analysed enough:

Patriot
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Robert Zaremba
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