Lattice-Based Incremental Signature Scheme for the Authenticated Data Update in Fog Computing

Abstract

To efficiently authenticate the updated data in fog computing, this paper proposed a lattice-based incremental digital signature scheme. The proposed scheme is provable secure in the standard model whose security is based on the hardness of the shortest integer solution (SIS) problem. There are several characters of the proposed scheme that are suitable for the application in. Such as, most of the time-consuming computing operations in the proposed scheme can be finished by the parallel computing. As a result, the computing speed of the proposed scheme can be improved efficiently. On the other hand, compared with a known lattice-based incremental digital signature, both the public key size and the signature length are shorter. Then the store resource and the bandwidth of the fog device can be saved efficiently when it is used in fog computing. Furthermore, a simulated experiment is given to check the functions of the proposed scheme by Java language on PC. The result shows that the computing cost to update a signature is much less than that to resign a message. At the same time, the parallel computing and pre-computing can really efficiently improve the computing speed of the proposed scheme. Since the SIS problem is hard even on quantum computers, the proposed scheme also gives a post-quantum secure solution to authenticate the updated data in fog computing.