摘要： 结合Camenisch等的加标记跟踪及证明方法和Abe等部分盲签名方案，提出了一个无可信第三方的离线电子现金系统，并提出了电子现金有效期的概念。方案中银行只在需要跟踪时要求用户打开标记，从而进行用户和钱币的跟踪，因此简便实用地解决了无可信第三方情况下电子现金匿名性控制问题。该系统具有计算量小、在线处理效率高的特点，且能有效地控制银行付款说明数据库的大小。

关键词: 电子现金有效期, 电子现金, 匿名性控制, 限制性盲签名

Abstract: Combining Camenisch et al’s method of inserting mark with proof and Abe et al’s partial blind signature, a new off-line E-cash system without TTP and the concept of validity duration of E-cash are proposed. The bank demands users to decrypt the mark of the coin when tracing is needed so that the user and coin can be linked together. So the system resolves the problem of the E-cash anonymity control without TTP simply and practically. The E-cash system has the properties such as little calculate payload and high on-line transaction efficiency. Above all, the storage size of the transcript database created and maintained by bank is controllable.

Key words: Validity duration of E-cash, Electronic-cash, Anonymity control, Restrictive blind signature