ECDSA and Elliptic Curves (FIPS 186-5)

1. Digital Signature Standard (FIPS 186-5)

   ECDSA, RSA and EdDSA signature generation and verification.

2. Recommended elliptic curves (SP 800-186)

   P-256, P-384, P-521 and Curve25519 parameters.

3. SEC 1: Elliptic Curve Cryptography

   Point encoding, ECDSA and ECDH algorithms.

4. Deterministic ECDSA nonces

   Deterministic generation of k to avoid nonce reuse.

5. EC public keys in X.509

   SubjectPublicKeyInfo and named curve identifiers.

6. EC private key structure

   ECPrivateKey ASN.1 structure.

7. ECDSA in JOSE

   ES256, ES384, ES512 signature encoding.

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