Verifiable Secret Key Sharing Scheme Based on Threshold Cryptosystem

The security of a key often determines the security of a communication system, so a secure and effective key distribution management method can effectively ensure the security of the communication system. The key distribution method based on a trusted key distribution center is prone to the collapse of the cryptographic system due to a single point of failure. Therefore, a distributed and decentralized key distribution method has become a requirement. And threshold key sharing technology is able to effectively and securely complete decentralized key distribution work, becoming an effective solution for key sharing. This article proposes a distributed, verifiable, and easy to update key sharing scheme based on Shamir’s threshold key sharing technology and homomorphic encryption technology. In this scheme, through threshold secret sharing technology, internal nodes in the system can collaborate and generate common keys in a distributed manner. The use of homomorphic encryption technology can effectively solve the problem of key update. When reconstructing the key, the sub-secret values are not disclosed, so there is no need to modify the secret values by redistributing the sub-secret values twice to update the key, thereby improving the efficiency of key update.