Security • Estimated 60m

Scalar Multiplication

fundamentals.scalar-multiplication

Scalar multiplication is repeated elliptic-curve point addition and is the operation that derives public keys from private keys. It is efficient forward but infeasible to reverse in practice.

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Curated resources (3)

• Mastering Bitcoin: Keys and Addresses (article) Describes the core key-derivation operation used in Bitcoin wallets.
• secp256k1 README (article) Implementation details for fast and constant-time scalar multiplication.
• Bitcoin Dev Network: A Primer for Libbitcoin (article) Engineering perspective for how libraries expose key math operations.

Direct prerequisites (1)

• Elliptic Curve Cryptography

Direct dependents (1)

• ECDSA

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