A distributed group signature scheme with traceable signers for mobile Ad hoc networks

In this paper, we propose a distributed group signature scheme with traceable signers for mobile Ad hoc networks. In such scheme, there isn´t a trusted center, and all members of Ad hoc group cooperate to generate all system parameters and all private/public keys. Any ^t members in Ad hoc group can collaboratively generate the group signature with the help of a designated clerk, where the signer respectively generates the partial signature by using his private key and the clerk can check the correctness of the partial signature. Furthermore, anyone can verify the validity of the group signature by the group public key and trace back to find the identities of signers from the warrant created by the clerk. What´s more, it can dynamically increase the parameter values of ^t and ⁿ, according to the actual security needs of mobile Ad hoc networks, but the private and public keys of the whole Ad hoc group still are not changed for relatively long-term stability.