Group-proxy signature scheme: A novel solution to electronic cash

Proxy signature and group signature are two basic cryptographic primitives. Due to their valuable characteristics, many schemes have been put forward independently and they have been applied in many practical scenarios up to the present. However, with the development of electronic commerce, many special requirements come into being. In this article, we put forward the concept of group-proxy signature, which integrates the merits of proxy signature and group signature for the first time. We also demonstrate how to apply our scheme to construct an electronic cash system. The space, time, and communication complexities of the relevant parameters and processing procedures are independent of group size. Our demonstration of the concrete group-proxy signature scheme shows that the concepts brought forward by us are sure to elicit much consideration in the future.