基于LUC访问结构上的秘密共享方案

基于LUC公钥密码体制提出了一个访问结构上的秘密共享方案.该方案使用参与者的私钥作为其秘密份额,秘密分发者不需要进行秘密份额的分配.秘密份额的长度小于或等于秘密的长度.在秘密重构过程中,每个合作的参与者只需提交一个由秘密份额计算的伪份额,且任何人都能够立即检验每个合作的参与者是否进行了欺骗.该方案可以用来共享任意多个秘密,而不必更新各参与者的秘密份额.分析发现,所提出的方案是一个安全、有效的方案,特别适合应用于秘密分发者与参与者之间不存在安全通信信道的场合.

LUC-based secret sharing scheme with access structures

A secret sharing scheme with access structures is proposed,which is based on LUC public key cryptosystem.Each participant's private-key is used as his secret shadow and the secret dealer does not have to distribute each participant's secret shadow.All these shadows are shorter than or as short as the shared secret.In the recovery phase,each cooperative participant only needs to submit a pseudo-share instead of his secret shadow and anyone is allowed to check whether a cooperative participant provides the true information or not immediately.The secret shadows do not need to be changed when sharing multiple secrets.Analyses show that the proposed scheme is an efficient and computationally secure scheme,and is especially adapted for use in the scenario where there is no secure channel between the secret dealer and participants.