本文使用橢圓曲線加密體制，給出了公開可認證的門限秘密共享協議，構造了一個
公正的離線電子支付系統(被動匿名可撤回系統)，該系統解決了委托人權力過于集中的問題，且委托人在最初公布其公開密鑰后，完全是被動的，不卷入支付協議的實際操作中，只有在被要求時才去掉用戶的匿名。
關鍵詞: 非交互公開可認證;門限秘密共享;橢圓曲線加密;盲簽名;電子支付系統
Abstract: In the paper, a non-interactive publicly verifiable protocol based on elliptic curves
cryptography is proposed. It designs a off-line fair electronic payment system (electronic payment system with passive anonymity-revoking trustees). This protocol solves the power-centralized problem of trustees. After initially publicized their secret key, trustees will be passive, and does not involve in operation of the payment. They would revoke the customer's anonymity if only they were asked.
Keywords: non-interactive publicly verifiable; threshold secret sharing scheme; elliptic curves
cryptograph (ECC); blind signature; electronic payment system