Pseudoinverse matrix over finite field and its applications

With the development of smart devices like smart phones or tablets, etc., the challenging point for these devices is risen in the security problems required limited computational capacity, which attracts researchers in both academia and industrial societies. In this paper, we tackle two interesting security problems: changing a shared key between two users and privacy-preserving auditing for cloud storage. Our solution is based on pseudoinverse matrix, a generalization concept of inverse matrix. In addition, this can be applied for devices with limited computational capacity due to its fast computation. © Springer-Verlag Berlin Heidelberg 2015.