Dynamic Group Signatures with Message Dependent Opening and Non-Interactive Signing

Hiroaki Anada, Masayuki Fukumitsu, Shingo Hasegawa · 2022

The group signature with message dependent opening (GS-MDO) is a valiant of the group signature in a sense that the opening authority is split into two parties called the opener and the admitter. Most known constructions of GS-MDO employ the static model. The only scheme using the dynamic model by Sun and Liu has a problem on the anonymity against the admitter in the real-world usage because the signing process requires the interaction between the signer and the admitter. In this paper, we restart the research line of GS-MDO in the dynamic setting. We introduce the definition of the dynamic group signature with message dependent opening (DGS-MDO), the security requirements and propose a generic construction. By instantiating our construction with appropriate primitives, we can obtain a DGS-MDO scheme with the standard model security, constant signature size and non-interactive signing process.

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