【作者】 张晶；

【导师】 刘焕平；

【作者基本信息】 哈尔滨师范大学 ， 应用数学， 2011， 硕士

【摘要】 信息社会正被计算机网络及通信技术的迅猛发展推向一个新的高级阶段,社会生活中的各个领域例如：军事、商业、金融等都深受其影响.大量的信息和数据在网络中存储和传输,如个人的信誉卡账号、研究成果、人员档案等,他们随时都有可能被盗用、暴露、篡改和伪造,因此其安全性则备受关注.随着人们对网络依赖的日益加深,信息安全已成为信息科学领域的一门新兴学科,它涉及信息论、计算机科学和密码学等多方面的知识,其中信息安全的核心技术是密码学.而数字签名技术又是现代密码学的主要研究内容之一,数字签名技术即使用密码算法对信息进行数字签名.它在身份识别和认证、数据完整性、抗抵赖等方面具有其他技术所无法替代的作用,在网络信息覆盖全球的现代社会具有极其广泛的应用.本文的主要研究内容涉及椭圆曲线体制中的基于身份的数字签名,包括基于双线性的门限签名方案和基于身份的代理可验证加密签名方案.主要成果：(1)在详细研究了数字签名,门限共享体制和基于身份的数字签名体制的基础上,提出了一个基于双线性对的可验证的门限签名方案.该方案不仅具有椭圆曲线密码体制的优势,而且双线性对的运用大大的减少了计算量且该方案具有健壮性和不可伪造性.因此具有较高的安全性和实用性.(2)我们将通过展开可验证加密签名并对代理签名进行详细研究的基础上提出一个新的有效的代理可验证加密签名方案.该方案同时具备了代理签名和可验证加密签名签名的特点和安全性,给出了一个具体的方案,该方案的安全性是基于计算性Diffie-Hellman (?)司题困难的假设下,并验证了在随机预言模型中也是安全的.更多还原

【Abstract】 Information society is being pushed into a new advanced stage by high de-velopment speed of communication technology,which have made a great effect on military, commerce, and finance etc. A large number of data and information has been transmitted and saved,such as the personal credit card account, research, per-sonal files.Therefore, the safety of it has been attached more importance, for they may be stolen, exposed, tampered and soon as the time go by. As people become more and more cling to the network. Information safety has become a new subject in the area of information technology. It involves Information, Computer Science and Cryptology and other science knowledge. The core of the Information Safety is cryptology, while digital signature is one of the main study content of the cryp-tology digital signature, namely to sign the information by cryptology. It plays a irreplaceable role in identity-authentication, data integrity, and it has been applied widely in the modern informational society.The main research content of this thesis involves the identity-based digital signature, in the system of Elliptic Curve Cryptography(ECC), which includes the threshold signature scheme based on bilinear pairing and the identity-based proxy verifiably encrypted signature scheme. The main contribution are as following:(1). On the based of the research of digital signature, threshold scheme and the digital signature system based on identity.The verified threshold scheme based on bilinear has been proposed, which not only have the advantage of Elliptic Curve Cryptosystem but also decrease the calculative amount by the application of the bilinear pairing, as well as to be more poverful. Therefore, it is safer and more practical.(2). On the based of the research of proxy signature scheme and verifiably en-crypted signature scheme. The identity-based proxy verifiably encrypted signature scheme has been proposed.In this paper, we extend verifiable encrypted signature to propose a proxy verifiably encrypted signature scheme. It inherits all security requirements of verifiably encrypted signature and proxy signature.then a detail scheme is given and we also show that the scheme is provably secure in the random oracle model. The security of the scheme is related to computational Diffie-Hellamn problem. It is an open problem to construct an efficient proxy verifiably encrypted signature scheme without random oracle.更多还原