We first formalise a generic architecture for attribute-based signatures (ABS). Further we expand the design to the generic framework of an attribute-based group signature (ABGS), combining our generic structure of ABS with the efficient generic design of group signature proposed by Bellare et al. in Eurocrypt 2003. We also analyse security of the proposed constructions following the most standard and strong proof system, the Non-Interactive Zero Knowledge (NIZK) arguments. We emphasise that meanwhile in the process, we first achieve an attribute-based instantiation of the generic group signature scheme given by Bellare et al. and we provide a generic structure of ABGS on that block which has applications in cloud security and other cryptographic problems.
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