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A secure and efficient payment protocol based on ElGamal cryptographic algorithms

机译：基于ElGamal密码算法的安全高效的支付协议

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摘要

In this paper we present a secure and efficient transaction protocol that provides the anonymity and can detect the double spending. The proposed payment system is based on the ElGamal encryption scheme, the ElGamal signature scheme and the ElGamal blind signature protocol. We show that our transaction protocol is secure and efficient. We give the definitions of unlinkability and unforgeability of our security model and we prove that the proposed transaction protocol is unforgeable and satisfies the unlinkability property. We show that the proposed system is more efficient, in terms of the computation and communication cost, than the compared payment systems (Eslami et al. in Electron Commer Res Appl 10:59–66, 2011; Chen et al. in Electron Commer Res Appl 10:279–287, 2011; Liu et al. in Proceedings of second European PKI workshop: research and applications. Lecture notes in computer science, vol 3545, pp 206–214, 2005 and Chen et al. in Electron Commer Res Appl 10:673–682, 2011) for a customer who withdraws and spends an e-coin and for the merchant who verifies an electronic coin. Also, the proposed e-cash system is useful for the electronic transactions when the connection between the bank and the merchant is not available during the payment protocol. This means a less bandwidth of the payment protocol and then increases the speed of the electronic transaction.
机译：在本文中，我们提出了一种安全有效的交易协议，该协议可提供匿名性并可以检测到双重支出。拟议的支付系统基于ElGamal加密方案，ElGamal签名方案和ElGamal盲签名协议。我们证明了我们的交易协议是安全有效的。我们给出了安全模型的不可链接性和不可伪造性的定义，并证明了所提出的交易协议不可伪造并满足不可链接性。我们显示，在计算和通信成本方面，所建议的系统比比较的支付系统更有效（Eslami等人，Electron Commer Res Appl 10：59-66，2011； Chen等人，Electron Commer Res Appl 10：279–287，2011； Liu等人在《第二届欧洲PKI研讨会论文集：研究与应用》，计算机科学讲义，第3545卷，第206–214页，2005年； Chen等人在Electron Commer Res Appl中10：673–682，2011），适用于提取和消费电子硬币的客户以及验证电子硬币的商人。而且，当在支付协议期间银行与商人之间的连接不可用时，所提出的电子现金系统对于电子交易是有用的。这意味着支付协议的带宽较小，然后提高了电子交易的速度。

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