椭圆曲线加密算法的C语言实现.doc

毕业设计（论文） 题目： 椭圆曲线加密算法的C语言实现 院（系） 信息科学与工程学院 专 业 电子信息工程 届 别 07级 学 号 0715212026 姓 名 王正辉 指导老师 吴丽丽 讲师 华侨大学教务处印制 2011年5月 摘 要 随着计算机和互联网技术的不断发展、电子商务的广泛应用，信息安全问题变得越来越重要，而网络信息安全的核心在于密码技术。椭圆曲线密码体制(ECC)是一种公钥密码体制，相对于以往基于有限域上离散对数问题或大整数分解问题的传统公钥算法，椭圆曲线密码算法具有安全性高、速度快、密钥短、实现时所需占用资源少的特点。作为迄今为止每比特具有最高安全强度的密码系统，由于其算法的高效安全性，使其成为优于RSA的PKI体系的核心公钥算法，其160位ECC算法的安全性相当于1024位的RSA算法，而210位的ECC则相当于2048位的RSA，所以ECC技术在信息安全领域中的应用将会越来越广泛。本设计正是基于这样的背景，在Microsoft Visual Studio6.0下的Microsoft Visual C++6.0编译环境中利用标准C语言并且借助密码学领域的开放源代码库OpenSSL设计与实现基于椭圆曲线的加密系统。 关键字: 椭圆曲线， ECC， Microsoft Visual C++6.0， C语言， OpenSSL， 加密系统 ABSTRACT With the development and application of information technology and the electronic commerce,the problem of information security becomes more and more important,but the network information security core lies in the password technology.Elliptic Curve Cryptography(ECC) systems which is a public-key systems is characterized by higher safety property,faster speed,shorter key lengths and fewer computational resources for implementation thanother former traditional public-key algorithms based on the discrete logarithm infinite fields or the great integer factorization problem.So far,the ECC provides the highest strength-per-bit of any cryptosystem known.Because of its high efficiency of the algorithm,some people think it is the best public-key cryptosystem that is suitable for current use in future.The security of 160-bit ECC is equal to 1024-bit RSA,and the security of 210-bit ECC is equal to 2048-bit RSA.So the application of ECC technology in the field of information security will be more and more widely.Based on this background,This design will use C language with open source library OpenSSL of the field of cryptography to design and realize a complete system of Elliptic curve encryption algorithm