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Technical dictionary

Discrete logarithm problem

Also known as: DLP · discrete log

Hard problem underlying DH and many ECC schemes—efficiently solvable by Shor’s algorithm on a CRQC.

Definition

The discrete log problem asks for the exponent given a generator and group element. Classical hardness underpins Diffie–Hellman and elliptic-curve crypto.

Shor’s algorithm solves discrete logs in quantum polynomial time for relevant groups—hence ECDH/ECDSA are not post-quantum.

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