Schnorr Signatures operate within discrete logarithm cryptography utilizing a Random Oracle Model reduction to prove security under Computational Diffie-Hellman (CDH) hardness. The core mechanism relies on generating signatures $(r, s)$ in the exponent space modulo group order $p$, where verification confirms consistency via the equation $g^s = R \cdot Y^c$ without requiring bilinear pairings. While deterministic variants like EdDSA eliminate external randomness by deriving nonce values from message and key hashing to prevent signature malleability attacks, standard Schnorr schemes inherently require randomized signing coins ($r$) for security guarantees.
Schnorr Signatures operate within discrete logarithm cryptography utilizing a Random Oracle Model reduction to prove security under Computational Diffie-Hellman (CDH) hardness. The core mechanism rel…