【作者】 李楠；

【导师】 王尚平；

【作者基本信息】 西安理工大学 ， 应用数学， 2010， 硕士

【摘要】 数字签名技术作为保障网络安全的重要手段之一,已成为信息安全科学领域一个重要的研究热点。在电子商务、电子政务逐渐成为社会的关键词之后,网络安全日益重要。基于不同的应用背景,需要研究具有特殊用途的数字签名。指定验证者签名可以提供对消息的认证性,但是没有传统签名的不可否认性,在很多场合,如电子支付、电子选举中指定验证者签名有重要意义。论文主要研究了指定验证者签名方案及其应用,本文的主要工作如下：基于双线性对构造了一个新的基于身份的多签名者强指定验证者签名方案。新方案中每个签名者只进行私钥隐藏和对消息进行哈希,由签名收集者进行多签名者强指定验证者签名,减小了单个签名者权利过大的可能性。新方案在BDH问题和DLP问题的困难性假设下,具有不可伪造性和不可转发性。多变量公钥密码体制是目前密码学研究的热点,是密码学研究的一个重要的分支。般的多变量密码体制都是基于求解多变量二次多项式困难问题。本文首次提出了基于多变量的指定验证者签名方案。并结合Rainbow体制构造了一个具体的基于Rainbow指定验证者签名方案,新方案满足指定验证者签名的安全性要求,能抵抗目前多变量公钥密码体制中已知的攻击方法,并且签名过程比传统的签名过程简单,而且保证了其高效性。更多还原

【Abstract】 Digital signature, as one of the most primary methods of protecting information security, has become a new important subject in the information security. In the wake of popularization of the electronic commerce and electronic government, the discussion on network security has become a hot topic. We need to research the digital signatures with special purpose based on their different requirements. The designated verifier signatures can provide authentication of the message, but no non-repudiation of traditional signatures. In many occasions, such as electronic payment, e-elections, the designated verifier signature has great significance. The focus of this thesis is analyzing the designated verifier signatures and its appliances. The main contributions are as follows:A new ID-based multi-signers strong designated verifier signature scheme is proposed in this paper which is based on the bilinear pairings. In the new scheme, each signer is only to hide the private key and hash of the message. The signature scheme which is made by the signature collector avoids the too large possibility of the rights of a single singer. We prove that our scheme has unforgeability and untransferability under the hypothesis of BDH and DLP.Multivariate public key cryptosystem has become a new important subject in the information security and an important branch of research. The genera multivariate crytosystems are based on solving multivariable quadratic polynomial difficult issues.We propose a multi-signer identity-based designated verifier signature scheme based on multivariate. The new scheme satisfies the security of the designated verifier signature scheme and has a simple signature process. Meanwhile we give a practical designated verifier signature scheme based on Rainbow digital signature scheme. The length of the new scheme is shorter than the traditional scheme, and the efficiency is higher than the traditional signature.更多还原