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EdDSA is a standardised elliptic curve digital signature scheme introduced toovercome some of the issues prevalent in the more established ECDSA standard.Due to the EdDSA standard specifying that the EdDSA signature be deterministic,if the signing function were to be used as a public key signing oracle for theattacker, the unforgeability notion of security of the scheme can be broken.This paper describes an attack against some of the most popular EdDSAimplementations, which results in an adversary recovering the private key usedduring signing. With this recovered secret key, an adversary can sign arbitrarymessages that would be seen as valid by the EdDSA verification function. A listof libraries with vulnerable APIs at the time of publication is provided.Furthermore, this paper provides two suggestions for securing EdDSA signingAPIs against this vulnerability while it additionally discusses failed attemptsto solve the issue.

Double Public Key Signing Function Oracle Attack on EdDSA Software Implementations