E-cash is considered as one of the coming mainstreams of digital currency due to its excellent security properties. With its perfect anonymity, however, e-cash may be misused to commit crimes. We propose a fair e-cash scheme, which improves previous schemes by reducing the computational and storage overhead of the trusted third party. In addition, our proposed scheme also possesses the desired user efficient property where a customer only has to compute a few modular multiplications and additions in coin withdrawal. Due to the rapidly growing Internet access via mobile units with low computation power, this user efficient property is of great worth. Thus this work can provide an efficient and practical payment mechanism for electronic commerce.
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