Forward-secure Undeniable Digital Signature Scheme Based on Zero-knowledge Proof

This paper proposes a forward-secure undeniable digital signature scheme based on zero-knowledge proof.By combining the undeniable digital signature with the forward-secure digital signature,the new scheme keeps the general property of undeniable digital signature,and has the character of forward-secure,namely,the loss can be reduced to the lowest once the secret key is lost(or stolen).The scheme has some features such as undeniable and unforgeable of the digital signature,and the size of key and signature are short.The idea of zero-knowledge proof is used in key update protocol,which guarantees key update is secure.The scheme is secure under the assumption of standard intractability problems.