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Elliptic-curve cryptography (ECC) public-key [[cryptosystem]]
Based on the math of the on the algebraic structure of the elliptic curves over finite fields and the difficulty of the elliptic curve discrete logarithm problem (ECDLP).
Usually comes together with the [[ECDSA]]
3072-bit [[RSA]] key has similar cryptographic strength to a 256-bit ECC key. Key generation is in ECC is significantly faster and cooler than with RSA.
Can use different underlying elliptic curves. Different curves provide different level of security, performance, key length, and may involve different algorithms.
- ECDSA, EdDSA - digital signature algorithm
- ECIES, EEECC - Integrated (hybrid) Encryption scheme
- ECDH, X25519, FHMQV - secure [[key establishment|key exchange]] algorithm