How deeply does Hacking Cryptography cover elliptic-curve diffie-hellman?

Defines the arithmetic substitution and protocol role, but defers ephemeral ECDH and perfect-forward-secrecy details.

Elliptic-curve diffie-hellman

Elliptic Curve Diffie–Hellman is a key-agreement protocol that performs Diffie–Hellman operations with elliptic-curve points instead of modular exponentiation.

Elliptic Curve Diffie–Hellman (ECDH) is a key-agreement technique that applies the discrete-logarithm problem to elliptic curves. Instead of modular exponentiation, each participant repeatedly adds a generator point to itself; the resulting shared elliptic-curve point becomes the basis for a shared secret. section 8.3.1

ECDH follows the Diffie–Hellman pattern: participants exchange public values while keeping private scalars secret, then independently derive the same shared result. ECDH is identified as the primary key-exchange method in TLS 1.3; an ephemeral variant provides perfect forward secrecy, but its details are deferred. section 8.3.1

How Hacking Cryptography covers it

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Real-World CryptographyElliptic Curve Diffie-Hellman is a public-key key exchange method based on elliptic-curve cryptography that lets parties derive a shared secret.
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Software Security for DevelopersElliptic-curve Diffie-Hellman is a Diffie-Hellman key-agreement algorithm based on the discrete-logarithm problem for points on elliptic curves.

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Related concepts

cryptographic keyproduces · A cryptographic key is a value supplied to a cryptographic algorithm to control operations such as encryption, decryption, signing, authentication, or verification.
Diffie–Hellman key exchangekind of · Diffie–Hellman key exchange is a public-key key-agreement protocol that enables parties to derive a shared secret over an insecure channel without transmitting it.
key exchangekind of · Key exchange is a cryptographic protocol by which communicating parties establish a shared secret over a communication channel without directly transmitting that secret.
elliptic curve point multiplicationuses · Elliptic-curve point multiplication multiplies a point by an integer scalar through repeated point addition and doubling.
API keyproduces · An API key is a credential used to identify or authorize a client accessing an application programming interface.

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