A Fair Electronic Cash Scheme Based on Elliptic Curve Cryptography

Fair tracing is an important mechanism to prevent or detect crimes in anonymous electronic cash schemes. Current fair electronic cash schemes are mostly based on discrete logarithm problem on finite, which are not efficient for new applications on mobile electronic payment owing to time cost and storage requirement of exponentiations. In this paper, a fair electronic cash system based on Elliptic Curve Cryptography is proposed. An opening protocol, a withdrawal protocol and a payment protocol of the electronic cash scheme are illustrated. With a blind signature technique based on Discrete Logarithm Problem (ECDLP), electronic coins can't be forged without secret key of bank, and customers' privacy is protected well. But the anonymity of participants can be revoked if the e-coin is spent more than one times. In comparison with recent similar research schemes based on RSA, our scheme has 30% reduction in the storage requirement of e-cash.