Security • Estimated 50m

Discrete Logarithm Problem

fundamentals.discrete-log-problem

Bitcoin key security depends on the hardness of solving discrete logarithms on elliptic curves. This hardness assumption is the core one-way property behind public keys.

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Curated resources (3)

• Mastering Bitcoin: Keys and Addresses (article) Explains why reversing public keys to private keys is computationally hard.
• Bitcoin Dev Network: A Primer for Libbitcoin (article) Developer-facing context for cryptographic assumptions in tooling and libraries.
• BIP 340: Schnorr Signatures (article) Spec-level assumptions for security and nonce behavior.

Direct prerequisites (2)

• Finite Fields
• Modular Exponentiation

Direct dependents (2)

• Diffie-Hellman Key Exchange
• Elliptic Curve Cryptography

Canonical site description: Interactive Bitcoin knowledge graph with prerequisites, curated resources, and structured topic pages.