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Modular Exponentiation

fundamentals.modular-exponentiation

Fast exponentiation under a modulus is the core operation behind key exchange and signature verification. It turns repeated multiplication into tractable computation on large numbers.

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Curated resources (3)

• Mastering Bitcoin: Keys and Addresses (article) Introduces modular exponentiation in Bitcoin key math.
• Programming Bitcoin: Finite Fields (article) Walks through exponentiation behavior in finite fields.
• BIP 340: Schnorr Signatures for secp256k1 (article) Spec-level context where modular exponentiation underpins group operations.

Direct prerequisites (1)

• Modular Arithmetic Basics

Direct dependents (2)

• Discrete Logarithm Problem
• Fermat's Little Theorem

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