在传统的(t,n)门限秘密共享方案中,t个或更多的诚实参与者能重构秘密K.在重构中,每个秘密分块和秘密K被揭示了,因此K仅仅能被共享一次.文中首先给出防泄露秘密共享方案的定义(该方案由一个分配协议和证明协议构成),然后分别构造了计算上安全的和信息理论上安全的防泄露的秘密共享协议.在我们的协议中,t个或更多的诚实参与者使用了一个知识的多证明者论证系统联合证明他们拥有秘密K,因此秘密K能被多次共享,而且,每个参与者在分配协议中能识别庄家的欺骗,在证明协议中能识别非授权参与者集合的欺骗.我们给出了一个应用实例,即使用我们的防泄露秘密共享方案去构造了一个具有零知识性质的群身份认证协议. In the traditional (t, n) threshold secret sharing scheme, t or more honest participants can reconstruct the secret K. In the reconstruction, each secret block and secret K are revealed, so K can only Is shared once.Firstly, the definition of the anti-leakage secret sharing scheme is given (the scheme consists of a distribution protocol and a proof protocol), then the computationally secure and information theoretically secure anti-leakage secret sharing protocols are constructed respectively. In our protocol, t or more honest participants use a multi-witness argumentation system of knowledge to prove that they have a secret K, so secret K can be shared more than once, and each participant in the distribution agreement Can recognize the deception of the banker and can identify deception of the set of non-authorized participants in the proof protocol.We give an example of the application of our anti-leakage secret sharing scheme to construct a zero-knowledge group authentication protocol .