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Aiming at the problems of limited computing power and high security requirements of terminal equipment, which affects people’s good experience on some network resources, we proposes a provably secure server-assisted verification threshold proxy re-signature scheme. Threshold proxy re-signature can effectively disperse the power of the agent, and solve the security problem that the agent’s rights are too concentrated. In the server-assisted authentication protocol, the verifier transfers the complex bilinear pairing operation to the server through the interaction, reducing the computational complexity of the verifier. Under the standard model, the scheme can effectively resist collusion attacks and adaptive selection of message attacks. Performance analysis results show that compared with Yang’s scheme, the signature length of the new scheme is at least twice shorter and the verification efficiency is increased by at least 57%. © Springer Nature Singapore Pte Ltd 2020.
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