Ring Signature - Definition

Definition

Suppose that a group of entities each have public/private key pairs, (PK1, SK1), (PK2, SK2), ... ,(PKn, SKn). Party i can compute a ring signature σ on a message m, on input (m, SKi, PK1, ..., PKn). Anyone can check the validity of a ring signature given σ, m, and the public keys involved, PK1, ..., PKn. If a ring signature is properly computed, it should pass the check. On the other hand, it should be hard for anyone to create a valid ring signature on any message for any group without knowing any of the secret keys for that group.

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