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特殊代理签名的分析与改进

【作者】 毛卫霞

【导师】 李志慧;

【作者基本信息】 陕西师范大学 , 应用数学, 2010, 硕士

【摘要】 以代理签名的研究现状作为基础,本文对一些特殊的代理签名进行了分析和改进.有的签名方案在传送密钥时,必须通过安全信道进行传输,存在局限性;代理签名人的隐私权需要得到保护,可以进行匿名签名;有的签名方案签名长度长、计算量大、效率低.对于这些问题,本文作了一些研究,设计了几种安全高效的代理签名方案.本文取得的主要研究成果如下:1、利用多代理签名和盲签名,基于离散对数问题,提出了一种新的多代理盲签名方案.该方案不要求安全信道传送代理密钥,且具有不可伪造性、不可链接性.2、某些代理签名方案必须保护代理签名人的隐私权.基于双线性对,提出了一种匿代理盲聚合签名方案.方案既保护了代理签名人的隐私权,又使得签名的消息是不可见的,同时还具有可追踪性.3、考虑到计算代价问题,提出了一种基于身份的强指定验证人签名和一种强指定验证人的多重代理签名.与Kumar, Susilo和Kang的方案相比,本文提出的强指定验证人签名的签名代价和验证代价较低.提出的强指定验证人多重代理签名可以分散代理签名人的签名权.

【Abstract】 Based on the research actuality about proxy signature, this paper gives analysis and modification towards some special proxy signature. Some signature schemes have some limitations because they need security channel to transmit cipher key. We could conduct anonymous signature in order to providing privacy protection for the proxy signers. Some signature schemes have long signature length and large computation cost result in low efficiency. Towards these problems, this paper conducts some research and designes several secure and effective proxy signature schemes.Main contributions of this paper are summarized as follows:1、Based on discrete logrithm problem, a new multi-proxy blind signature scheme is proposed using multi-proxy signature and blind signature. The proposed scheme doesn’t request security channel to transmit proxy cipher key and has properities of unforgeability and unlinkability.2、The requirement of proxy signer’s privacy protection is needful in some proxy signature schemes. Based on bilinear pairing, an anonymous proxy blind aggregate signature scheme is proposed. The proposed scheme provides privacy protection for proxy signers and blinds the message and has traceability.3、Considering computation cost, a strong designated verifier signature and a strong designated verifier multi-proxy signature based on identity are proposed. Comparing with Kumar’s and Susilo’s and Kang’s schemes, the proposed strong designated verifier signature is lower in signature cost and verification cost. The proposed strong designated verifier multi-proxy signature could scatter signing authority of proxy signers.

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