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Cyclic Groups

fundamentals.cyclic-groups

Cyclic groups model repeated application of an operation from a generator and are the algebraic setting for many Bitcoin cryptographic constructions. They define why private scalars can map to public points in a structured way.

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Curated resources (3)

• Mastering Bitcoin: Keys and Addresses (article) Introduces generator-based point multiplication in secp256k1.
• BIP 340: Schnorr Signatures for secp256k1 (article) Defines group operations and notation used for signatures.
• secp256k1 README (article) Implementation-oriented context for cyclic group operations on curve points.

Direct prerequisites (1)

• Finite Fields

Direct dependents (1)

• Diffie-Hellman Key Exchange

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