A Lattice-based Ring Signature Scheme Secure against Key Exposure

A ring signature scheme allows a group member to generate a signature on behalf of the whole group, while the verifier can not tell who computed this signature. However, most predecessors do not guarantee security from the secret key leakage of signers. In 2002, Anderson proposed the forward security mechanism to reduce the effect of such leakage. In this paper, we construct the first lattice-based ring signature scheme with forward security. Our scheme combines the binary tree and lattice basis delegation technique to realize a key evolution mechanism, where secret keys are ephemeral and updated with generating nodes in the binary tree. Thus, the adversary cannot forge the past signature even if the users\u27 present secret keys are revealed. Moreover, our scheme can offer unforgeability under standard models. Furthermore, our proposed scheme is expected to realize post-quantum security due to the underlying Short Integer Solution (SIS) problem in lattice-based cryptography

Forward Secure Ring Signature without Random Oracles

In this paper, we propose a forward secure ring signature scheme without random oracles. With forward security, if a secret key of a corresponding ring member is exposed, all previously signed signatures containing this member remain valid. Yet the one who has stolen the secret key cannot produce any valid signature belonged to the past time period. This is especially useful in the case of ring signature, as the exposure of a single secret key may result in the invalidity of thousands or even millions ring signatures which contain that particular user. However, most of the ring signature schemes in the literature do not provide forward security. The only one with this feature [14] relies on random oracles to prove the security. We are the first to construct a forward secure ring signature scheme that can be proven secure without random oracles. Our scheme can be deployed in many applications, such as wireless sensor networks and smart grid system