Demonstrating in zero-knowledge the possession of digital signatures has many cryptographic applications such as anonymous authentication, identity escrow, publicly verifiable secret sharing and group signature. This paper presents a general construction of zero-knowledge proof of possession of digital signatures. An implementation is shown for discrete logarithm settings. It includes protocols of proving exponentiation and modulo operations, which are the most interesting operators in digital signatures. The proposed construction is applicable for ElGamal signature scheme and its variations. The construction also works for the RSA signature scheme. In discrete logarithm settings, our technique is O(L) times more efficient than previously known methods.
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