关键词: 无证书认证, 电子现金, 公平性, 双线性对

Abstract: In the E-commerce application of cross-domain and cross-organization scenarios，there are heavy certificate management burden in PKI-based cryptography and so-called key escrow problem in ID-based cryptography，which limits the development of E-cash.Recently，certificateless cryptography has been adopted to deal with those problems.In this paper，a certificateless signature and authenticated key exchange scheme is proposed，and its security is analyzed.An E-cash scheme based on the new certificateless signature and authenticated key exchange is then proposed，which achieves unforgeability and unreusability of e-cash，customer anonymity，and fair exchange on e-commerce transactions.

Key words: certificateless authentication, electronic cash, fairness, bilinear pairings