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As with elliptic-curve cryptography in general, the bit size of the private key believed to be needed for ECDSA is about twice the size of the security level, in bits. [1] For example, at a security level of 80 bits—meaning an attacker requires a maximum of about 2 80 {\displaystyle 2^{80}} operations to find the private key—the size of an ...
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Ed25519 is the EdDSA signature scheme using SHA-512 (SHA-2) and an elliptic curve related to Curve25519 [2] where =, / is the twisted Edwards curve + =, = + and = is the unique point in () whose coordinate is / and whose coordinate is positive.
The set of parameters suggested by Falcon imply a signature size of 666 bytes and a public key size of 897 bytes for the NIST security level 1 (security comparable to breaking AES-128 bits). The key generation can be performed in 8.64 ms with a throughput of approximately 6,000 signature per second and 28,000 verifications per second.
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