A (t,n)-Threshold Group Signature Scheme Based on Compartmented Secret Sharing

A compartmented access structure is an access structure that does not distinguish between participants belonging to the same compartment. In this paper, we design an ideal secret sharing scheme for a compartmented threshold access structure. A secure (t,n)-threshold group signature scheme based on the secret sharing scheme is proposed. We achieve this result by combining mature signature primitives with the proposed secret sharing scheme. The scheme achieves the desired properties of unforgeability and anonymity. The main focus of this paper is that, based on probabilistic theory, we show the secret sharing scheme can be perfect.