单向函数假设下基于身份的陷门水银承诺

ID-based trapdoor mercurial commitment under one-way functions assumptions

基于身份的陷门水银承诺结合了基于身份的陷门承诺和水银承诺两个概念,它是构造基于身份的零知识集合的基础模块.目前,现有的基于身份的陷门水银承诺方案都是基于强Diffie-Hellman假设和计算性Diffie-Hellman假设来构造的.单向函数假设是密码学中最基本的假设,文中基于单向函数假设给出了基于身份的陷门水银承诺的一般性构造方法,并且利用Boneh-Boyen签名给出了一个具体的例证.

The notion of identity-based trapdoor mercurial commitment incorporates the advantages of both identity-based trapdoor commitment and trapdoor mercurial commitment.So far,the existing identity-based trapdoor mercurial commitment schemes are based on the strong Diffie-Hellman assumption or computational Diffie-Hellman assumption. One-way function existence is one of the fundamental assumptions in the cryptography.In this paper,we first propose a general construction for identity-based trapdoor mercurial commitment based on the one-way function.Meanwhile,we give a concrete instantiation based on the Boneh-Boyen signature scheme.