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公共可验证秘密共享方案在完成秘密分发后,管理者将会离开,新用户若想分享主秘密,需要k个原有用户承担管理者功能,给新用户分发秘密分存。该文在公共可验证秘密共享方案基础上,利用非交互的零知识证明,给出了有t(t≥1)个新用户注册时由(k,n)方案到(k,n+t)方案的构造,并讨论了t的适用范围。新的(k,n+t)秘密共享方案具有公共可验证功能,且不改变原有用户的分存和访问结构。和已有具有注册功能的公共可验证秘密共享方案相比,新方案允许多个新用户加入秘密共享,具有更加灵活的性质,而且减少了公开参数,降低了计算复杂度。
Publicly verifiable secret sharing scheme After the completion of the secret distribution, the manager will leave. If a new user wants to share the master secret, k original users will be required to assume the functions of managers and distribute the secret shares to the new users. Based on the public verifiable secret sharing scheme, this paper presents a new scheme from (k, n) to (k, n + t) when t The structure of the scheme and the scope of application of t are discussed. The new (k, n + t) secret sharing scheme has publicly verifiable functions without changing the existing user’s share and access structure. Compared with the existing public verifiable secret sharing scheme with registration function, the new scheme allows multiple new users to join the secret sharing, has a more flexible nature, reduces the public parameters and reduces the computational complexity.