Alternative Formalization and Implementation of Sequential Aggregate Signatures

This paper studies the construction of sequential aggregate signatures from any existentially unforgeable digital signature scheme and investigates whether the security of a sequential aggregate signature in this signature-based framework can be reduced to that of the underlying signatures. To study the problem, we modify the previously introduced notions of weakly and sequential aggregate signatures and show that a sequential aggregate signature is weakly secure if and only if the underlying classic signature schemes are existentially unforgeable against adaptive adversaries in the context of signatures and then provide alternative implementation of sequential aggregate signatures in this signature-based framework.