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Multi-signature

Multi-signature is a technique requiring authorization from multiple distinct signers or public keys before a message, transaction, or protected action is accepted.

How 2 Manning books explain it

Elliptic Curve Cryptography for Developers

A multi-signature is a cryptographic signature scheme in which multiple signers jointly authorize a message or produce a signature representing their participation.

How it is used
Combines many signatures on one message to reduce verification work through aggregated signatures and public keys.
How deep it goes
Derives the pairing verification equation and maps signing, aggregation, and verification into C-style routines, while deferring participant communication.
Examples
Uses a 20-node simulation that loads binary parameters and keys, signs random message data, aggregates points, and verifies the result.
What you can do after
Build it from scratch by generating keys, weighting public keys, signing a shared message, aggregating points, and checking a pairing equality.

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Real-World Cryptography

Multi-signature is a technique in which a transaction or message requires signatures from multiple distinct public keys.

How it is used
Reduces single-point-of-failure risk by distributing transaction or message approval across multiple signers.
How deep it goes
Explains the basic threat model, signature-size overhead, aggregation, DKG, and threshold variants without implementation detail.
Examples
Uses a financial transaction changing from Alice’s sole signature to approval by n distinct public keys.
What you can do after
Evaluate how multiple signatures, aggregation, and DKG distribute trust and affect transaction overhead.

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Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.