Abstract
A fair electronic cash system is a system that allows customers to make payments anonymously. Furthermore the trusted third party can revoke the anonymity when the customers did illegal transactions. In this paper, a new fair electronic cash system based on group signature scheme by using elliptic curve cryptography is proposed, which satisfies properties of secure group signature scheme (correctness, unforgeability, etc). Moreover, our electronic cash contains group members (users, merchants and banks) and trusted third party which is acted by central bank as group manager.
Highlights
The first group signature scheme was proposed by David Chaum and van-Heyst in 1991 [1]
A new fair electronic cash system based on group signature scheme by using elliptic curve cryptography is proposed, which satisfies properties of secure group signature scheme
Our electronic cash contains group members and trusted third party which is acted by central bank as group manager
Summary
The first group signature scheme was proposed by David Chaum and van-Heyst in 1991 [1]. Group signature schemes allow a group member to sign messages on behalf of the group Such signatures must be anonymous and unlinkable but, whenever needed, a designated group manager can reveal the identity of the signer [1,2,3]. [9,10,11] introduced group signatures into electronic cash schemes which are anonymous and unlinkability. Identity based group signature scheme is proposed, which satisfies the electronic cash based on group signatures. It provides to keep group member anonymous and unlinkability if he does not cheat.
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