论文标题:椭圆曲线密码算法及其应用
Elliptic Curve Cryptographic Algorithms and Their Applications
论文作者 雷雳
论文导师 马建峰,论文学位 硕士,论文专业 计算机系统结构
论文单位 西安电子科技大学,点击次数 139,论文页数 56页File Size2232k
2004-01-01论文网 http://www.lw23.com/lunwen_46440832/ 椭圆曲线密码体制;椭圆曲线离散对数;群签名;电子拍卖;密钥认证
Elliptic Curve Cryptosystems;Elliptic Curve Discrete Logarithm;Group Signatue;auction system;key authentication
椭圆曲线密码体制是公钥密码学领域的一个重要课题。这种密码体制具有安全性能高、计算量小、密钥长度短、处理速度快、存储空间占用小和带宽要求低等特点，因而在安全领域具有广泛的应用前景。 本文从数论和代数的角度出发介绍椭圆曲线是如何应用到公钥密码中的，分析椭圆曲线密码的优越性和安全性。作者所作的主要工作有： (1)研究了基于大素数域上的椭圆曲线密码在加密／解密、密钥交换、数字签名等方面的密码协议并分析了每种协议的安全性能； (2)在现有基于身份的数字签名方案的基础上提出了基于身份的群签名系统并讨论了群签名在数字现金中的应用； (3)给出了椭圆曲线密码在电子拍卖系统、密钥认证系统方面的实现方案。
Elliptic curve cryptography(ECC) is an important subject in the field of public key cryptography. It provides higher security, shorter key size, less computation, faster process speed, less memory space and lower bandwidth, so it has wide application prospect in information security field.In this paper, the author primarily introduces how elliptic curves have been applied to public key cryptography from algebra and number theory, analyzes the advantage and security of ECC. The work the author has done is:(1) study the arithmetic of ECC on the encryption/decryption, digital signature and key exchange schemes and analyze their security performance;(2) propose a new ID-based group signature with existed ID-based digital signature and discuss its application in digital cash;(3) realize the electronic auction system and key authentication system with ECC.
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