多陷门水银承诺方案(英文)

Multi-trapdoor mercurial commitment scheme

多陷门承诺方案是指一个陷门承诺族,对于整个族有一个主陷门,族中的每一个承诺方案有各自对应的具体陷门.水银承诺方案是通常意义下承诺方案的一种变形,对承诺方案要求的绑定性质有显著的放松.应用上述2个传统承诺方案的变形给出多陷门水银承诺方案的定义,并构造出基于强Diffie-Hellman假设的多陷门水银承诺方案.

We introduce a new notion of multi-trapdoor mercurial commitment scheme which is a combination of multi-trapdoor commitment and（trapdoor）mercurial commitment.Multi-trapdoor commitment is a family of trapdoor commitments which admits a master trapdoor for the whole family and a specific trapdoor for every commitment in the family.Mercurial commitment allows for a noticeable relaxation of the strict binding property of conventional commitment.In our paper,we use the two interesting variation of regular commitments to define multi-trapdoor mercurial commitment and construct a multi-trapdoor mercurial commitment scheme based on the Strong Diffie Hellman Assumption.