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Threshold Schemes

Definition

Threshold schemes are cryptographic protocols that distribute a secret among multiple parties, requiring a minimum number to reconstruct it. These schemes ensure that a secret can only be recovered if a predefined number of participants, known as the threshold, combine their individual shares. Fewer than the threshold participants gain no information about the secret, enhancing security and fault tolerance. They are often applied in multi-signature wallets, distributed key generation, and secure multi-party computation.