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ECDH

Elliptic Curve Diffie-Hellman: the elliptic-curve version of the Diffie-Hellman key exchange, letting two parties establish a shared secret efficiently and securely with much smaller keys than traditional Diffie-Hellman.

ECDH performs the same key-agreement function as Diffie-Hellman but over elliptic curves, achieving equivalent security with far smaller keys, which means faster computation and less data, ideal for TLS and mobile devices. Its ephemeral form (ECDHE) provides forward secrecy and is the dominant key-exchange method in modern TLS. It solves key distribution without ever transmitting the shared secret.

Introduced in: Cryptography Essentials

Examples

  • Two parties deriving a shared key over an elliptic curve in a TLS handshake.
  • Using ephemeral ECDH (ECDHE) to provide forward secrecy.
  • Achieving strong security with smaller keys than traditional Diffie-Hellman.

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