Abstract: This paper presents an efficient scheme for off-line electronic cash that can be applied easily on hardware with limited computing power and limited storage (e.g. smart card). This scheme has high efficiency and requires small storage size, and it also has provable security properties of E-cash. It expands the scheme to an electronic tickets scheme and an agent electronic cash scheme.

Key words: electronic cash, hash tree, Schnorr signature

摘要： 提出了一个可以在低计算能力、低存储量的硬件(如smart card)上实现的离线电子现金方案。该方案中，电子现金的存储量和效率都比一般的方案优很多，能满足电子现金所需要的安全特性，如匿名性、不可伪造性、多次消费检测等。该文还提出了一个类似的电子票据方案以及通过代理机构代理银行发布电子货币的方案。

关键词: 电子现金, 哈希树, Schnorr签名算法

CLC Number: 

• TP309