【摘要】 目前双线性映射作为一种构建密码体制的新工具,在密码学领域中引起了普遍的关注,并在数字签名中得到应用.该文提出了新的基于访问结构的多重签名模型和群签名模型,并以双线性映射为工具,构建了基于新模型的签名体制.新的群签名方案是基于以下实际问题:假设一个公司Ω里有n个部门,每一个部门都可以独立地代表这个公司签名,只有在一定数量的成员的参与下,一个部门才可以生成有效的群签名.对于接收者来说,它可以验证签名的有效性,但是不能判断出群签名出自哪一个部门.当有争端发生时,仲裁者可以“打开”群签名,确定签名的部门.在所构建的群签名中,签名的公钥长度是独立的.“打开”过程通过阈下通道实现.因为以双线性映射为工具,所以比起其它的实现方式,其签名长度较短.更多还原

【Abstract】 Two new models of multi-signature and group signature based on access structure are presented in this paper. With bilinear pairing, the corresponding digital signature schemes are constructed. The new group signature is to solve the following problem: If there are n departments in a company Ω, any dept. has the right to sign a message on behalf of the company. The group signature made by the dept. should be agreed with the members whose number is over the threshold. The receiver can verify the validity of the signature but can’t distinguish which dept. the signature comes from. When the dispute occurs, only the authority can “open” the group signature to distinguish where the signature comes from. The length of public key in the group signature is independent, and the “open” process is realized by subliminal channel. Because of bilinear pairing, length of the signature is much shorter than other one constructed by other measure.更多还原