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中文摘要：
通过构造一个锯齿型规律的秘密序列,利用规律的打破当作终止重构过程的信号来实现异步方案.然后,基于中国剩余定理来实现重构过程中动态增加和剔除参与者,避免对偏离者的空威胁,使重构的效率更高.对传递的共享份额加密,从而使重构过程更加安全,非重构参与者不能获得关于份额的相关信息.结合无限重复博弈的思想,构造了一个公平、可验证、达到子博弈完美均衡的异步理性秘密共享方案.
英文摘要：
In this paper,we use the break of the regular of the secret sequence as an end signal to construct an m-out-of-n rational secret sharing by using the secret sequence with zigzag structure.Then,to avoid empty threats and make reconstruction more efficient,we can add and delete participants dynamically during the reconstruct phrase based on the Chinese remainder theorem.Besides,we encrypt everyone＇s shares in the phrase of exchanging them to make them much safer.Someone who is not participant in reconstruction phrase can＇t get any information about the secret shares.With the theory of the infinite repeated games,we construct a fair and verified rational secret sharing over an asynchronous channel with a sub-game perfect equilibrium.
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