Consensus algorithms based on collusion resistant publicly verifiable random number seeds

Publicly verifiable random number seeds are widely used in distributed systems and applications, especially in consensus algorithms. The purpose was to distribute the tasks and benefits among the participants fairly. A secure and efficient consensus algorithm is the foundation and guarantee of blockchain. We have been working on more concise, fair, and secure blockchain consensus algorithms. In this paper, we propose a new, more concise, efficient, and publicly verifiable random number seed generation scheme based on the existing secret sharing scheme and one-way function. We combined it with two blockchain consensus algorithms to improve the security and efficiency of the original scheme.