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The spec for Ed25519 signatures in TLS is not yet ready: https://tools.ietf.org/html/draft-irtf-cfrg-eddsa-02

X25519 for key exchange in TLS is ready and is in openssl master (and in boringSSL). I don't know the status of NSS support, or plans for SChannel and CoreCrypto support.

X25519 key exchange and Ed25519 signatures have been deployed in nacl, libsodium, ssh, etc. for a while.

EDIT: NSS ticket for X25519 Key Exchange: https://bugzilla.mozilla.org/show_bug.cgi?id=957105




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