摘要： 分析了现有公平离线电子现金方案的不足，提出了一类基于超椭圆曲线密码的可追踪公平离线电子现金方案；经分析，方案中协议与算法安全、简洁、高效，降低了软硬件实现的系统开销，特别适合当前电子商务安全、高效、便捷和实时交互反应的发展趋势，有广阔的应用前景。

关键词: 超椭圆曲线, 公平离线电子现金, 概率加密, 身份盲化

Abstract: Analyses are made on the security threats of present E-cash schemes, and a traceable faire E-cash scheme based on hyper-elliptic curves cryptosystem that can gain a wide application in computer and wireless communication network is presented. The probabilistic encryption algorithm in the scheme avoids the relevance between different E-cashes generated for the same buyer. The independence of E-cash security on the hypothesis of an absolutely trustable party in the scheme prevents coalition attack and generalizes signature forgery. Further analyses also justify its brevity, security, high efficiency, and thus considerable improvement on system overheads regarding software and hardware application.

Key words: Hyper-elliptic curves, Faire off-line E-cash, Probabilistic encryption, Identity blindness