E-payment scheme allows two users to securely exchange e-cash and digital product over an open network. A problem in the across administrative domains E-payment scenarios is how the participants can carry out the exchange between administrative domains. In other words, the participants are administrated by two trusted administrators respectively. How can they verify their identities each other? In this paper, a certificateless cross-domain authenticated key exchange (CL-CD-AKE) scheme was proposed to solve this problem, and the security and the effectiveness of the proposed CL-CD-AKE scheme were analyzed in the extended random oracle model. Following this work, an Epayment scheme, achieving unforgeability and unreusability of e-cash, customer anonymity and fairness, was then proposed, and the CL-CD-AKE scheme was adopted by the E-payment scheme to deal with the problem of cross-domain authentication and key agreement.
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