基于身份认证的手机支付系统的设计与实现

通过椭圆曲线上的Weil配对的双线性和Euler准测，提出了一种基于身份认证的签名加密方案。它不仅可以获得较快的加密解密速度，辨别消息的真伪，还能抵抗重发密文的攻击。该方案降低了公钥的存储和管理成本，签名长度大约是Guillou Quisquater签名长度的1/4。针对手机自身的特点，设计了一种基于该签名加密方案的手机支付系统，并进行了安全性和有效性分析。

Design and realization of identity-based mobile payment system

According to the bilinear property of the Weil pairing defined on elliptic curves and Euler's criterion, an identity-based signcryption scheme was proposed. The scheme could obtain the quicker velocity of encryption and decryption, distinguish the right message from the wrong message, and resist the attack of continuous cryptograph sending. This scheme could reduce the storing and managing cost of the public key. The signature size was only about a quarter of the Guillou-Quisquater signature. Based on the signcryption algorithm and the properties of the mobile, a new mobile payment system was proposed. Its security and efficiency performances were also analyzed.