Sender and Recipient Un-restricted, Non-interactive Group Key Exchange for Dynamic Group with Low-quality Network
Rui Zhang, Lei Zhang, Yihuai Liang, Jiahuai Mao, Jin Zhou
Abstract
Abstract Non-interactive group key exchange is a fundamental primitive for establishing secure communication channels in multi-party settings. However, existing protocols usually rely on computationally expensive tools, such as multi-linear maps and indistinguishability obfuscation, or lack efficient support for dynamic groups. To address these limitations, we propose a secure and efficient non-interactive group key exchange protocol built upon bilinear maps, which offers the following advantages over existing solutions. First, our protocol suits well for dynamic groups by enabling non-interactive key updates to accommodate frequent membership changes. Second, it exhibits two desirable features for distributed applications: sender un-restriction, which permits any party to send a message, and recipient un-restriction, which allows a sender to select an arbitrary subset of members as recipients. Furthermore, our protocol generates constant-size ciphertexts, enhancing its efficiency and scalability. We formally prove that our protocol achieves fully collusion-resistance in the standard model under the k-Bilinear Diffie-Hellman Exponent (k-BDHE) assumption. Performance analysis confirms the protocol's practical efficiency.