【作者】 梁红梅；

【导师】 黄振杰；

【作者基本信息】 漳州师范学院 ， 基础数学， 2008， 硕士

【摘要】 无证书公钥密码学是由Al-Reyami和Paterson在2003年亚洲密码学会议上首次提出的.该体制是介于传统的基于证书公钥密码体制和基于身份公钥密码体制之间的一种新的密码体制.它不同于传统的基于证书公钥体制,不再需要证书来认证用户的公钥,从而克服了证书管理问题;也不同于基于身份的公钥密码体制,该体制只需要一个半可信的第三方,从而不存在密钥托管问题.多重签名是由Itakura等在1983年首次提出的.多重签名是指多个签名者合作产生对同一个消息的签名,而验证者可以验证这些签名者确实参与了对该消息的签名.多重签名具有总体签名长度短及验证代价小等优点.盲签名的概念是1982年Chaum在美洲密码年会Crypto’82上引入的,这种签名使得用户可以在签名者不知道待签消息和最终签名的情况下获得签名者的有效签名.盲签名在电子投票,电子现金系统中有着广泛的应用.本文结合无证书签名及多重签名、盲签名的概念,提出无证书多重签名、无证书盲签名的新概念,给出相应的正式定义及安全要求,提出具体的无证书多重签名方案及无证书盲签名方案.在随机预言机模型下,对提出的方案进行了安全性分析.更多还原

【Abstract】 Certificateless public key cryptology is firstly proposed by Al-Rayami and Paterson in Asiacrypt 2003, which is a new paradigm between traditional certificate-based public key cryptology and identity-based public key cryptology. Contrary to traditional certificate-based cryptosystem, the new paradigm does not need certificate to ensure the authentication of user’s public key, so it overcomes the problem of certificate management; Different to identity-based cryptosystem, the new paradigm only needs a semi-trusted third party, so it does not exist the problem of inherent key escrow.Multisignature is introduced by Irakura et. in 1983. Multisignature allows multi- signers to cooperate to generate one signature for some message, and any one can verify the signature. It can decrease the total length of signatures and the cost of verification.Blind signature is proposed by Chaum in Crypto 1982. The signature scheme can make user obtain a valid signature without knowing the signed message and the final signature. It has been widely used in electronic voting and electronic cash system.Combining the concept of certificateless signature with multisignatue and blind signature, this paper proposes the new concepts of certificateless multisignature and blind signature, gives the according formal definition and security requirements, then constructs the concrete certificateless multisignature scheme and certificateless blind signature scheme. Finally under the random oracle model, the paper analyzes the security of the proposed schemes.更多还原