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(t,n)门限秘密共享中,分发者将秘密S分成n个秘密份额,使得任意不少于t个秘密份额可以成功重构秘密S,而小于门限t的秘密份额无法获得有关秘密的任何信息.为提高份额的机密性,减少验证份额过程所需的计算开销,增强秘密共享方案的防欺骗性、安全性、实用性以及抗泄漏性,本文提出了一种强抗泄漏的无条件安全动态秘密共享方案:(1)方案引入信息传递环和插值因子等技术作为重构通信方式和重构信息,有效提高份额的机密性;(2)方案分别为每个参与者分配一对验证钥以验证重构秘密的一致性,避免验证秘密份额的复杂过程,方案与可验证秘密共享方案具有相同的抗欺骗能力,可有效防止n-1参与者联合欺骗,较一般防欺骗方案(达到n/2或n/3防欺骗能力)有更强的抗欺骗能力;(3)方案安全性与敌手的计算能力无关,达到无条件安全性;(4)方案无需要更改秘密份额即可实现分享秘密的更新,达到动态性;(5)本文首次提出秘密共享中的最大泄漏率概念,用以描述秘密共享中最大可泄漏的秘密份额个数与总秘密份额个数的关系,可作为评价秘密共享机制中抗泄漏能力强弱的标准参数之一.
(t, n) In the threshold secret sharing, the distributor divides the secret S into n secret shares, so that any secret share with no less than t secret shares can successfully reconstruct the secret S, whereas the secret shares less than the threshold t can not obtain any secret In order to increase the confidentiality of shares, reduce the computational overhead required to verify the share process and enhance the anti-cheat, security, practicability and anti-leakage of the secret sharing scheme, this paper presents an unconditional secure dynamic The scheme of secret sharing: (1) The scheme introduces the information transfer ring and interpolation factor to reconstruct the communication mode and reconstruct the information effectively to increase the confidentiality of the share; (2) The scheme allocates a pair of authentication keys to each participant Verifying the consistency of reconstructed secrets and avoiding the complicated process of verifying the secret share. The scheme has the same anti-spoofing ability as the verifiable secret sharing scheme, which can effectively prevent the joint defeat of n-1 participants, 2 or n / 3 anti-cheating ability); (3) program security has nothing to do with the adversary’s computing power, to achieve unconditional security; (4) the program does not need to change the secret share can be real (5) In this paper, the concept of maximum leakage rate in secret sharing is proposed for the first time to describe the relationship between the maximum number of secret shares that can be leaked and the total number of secret shares in secret sharing, which can be used as an evaluation One of the standard parameters of anti-leakage ability in secret sharing mechanism.