MD-\(\mathcal {VC}_{Matrix}\): An Efficient Scheme for Publicly Verifiable Computation of Outsourced Matrix Multiplication

Cloud service provider that is equipped with tremendous resources enables the terminals with constrained resources to perform outsourced query or computation on large scale data. Security challenges are always the research hotspots in the outsourced computation community. In this paper, we investigate the problem of publicly verifiable outsourced matrix multiplication. However, in the state-of-the-art scheme, a large number of computationally expensive operations are adopted to achieve the goal of public verification. Thus, the state-of-the-art scheme works inefficiently actually due to the fact that most of the time is spent on the verification-related computing. To lower the verification-related time cost, we propose an efficient scheme for public verification of outsourced matrix multiplication. The two-dimensional matrix is transformed into a one-dimensional vector, which retains the computing ability and is used as the substitute for subsequent verification-related work. The security analysis demonstrates the security of the proposed outsourcing scheme, and the performance analysis shows the running efficiency of the scheme.