The verifiable encrypted signature is one of the basic fair exchange protocols. There are important applications,such as e-commerce and other cryptographic protocols. We incorporate the verifiable encrypted signature into the certificate-basedsignature to propose an efficient certificate-based verifiable encrypted signature scheme in the paper, whichdoes not require any bilinear pairing operations. Then we analyze the scheme’s security under the elliptic curve discretelogarithm problem over a finite field. The analytic results show that our proposed scheme is proven secure, and ourscheme simplifies the management of certificates and solves the problem of private key escrow. Compared with the otherexisting secure verifiable encrypted signature schemes, our certificate-based verifiable encrypted signature scheme providesgreater efficiency and greatly reduces the cost of computation and communication, and achieves the same securitylevel as other existing verifiable encrypted signature scheme.
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