A Multi-secret Sharing Scheme with General Access Structures Based on a Geometric Property

A new multi-secret sharing scheme with general access structure is proposed, which is based on a geometric approach. In this scheme, the shared secret and each participant’s secret shadow should be vectors of (t-1)dimensions. Each participant only needs to keep one secret shadow in sharing multiple secrets without updating each participant’s secret shadow. Compared with the existing schemes with general access structures, the proposed scheme is very effective, especially in sharing a large secret. Analyses show that the proposed scheme reinforces the requirements and rules of security and that it is computationally secure and efficient scheme.