摘要： 基于LUC密码体制提出一种(t, n)门限多重秘密共享方案，各参与者的秘密份额是其私钥，秘密分发者不需要向各参与者传送任何秘密信息。在秘密重构过程中，参与者提交的仅仅是秘密份额的伪份额，各参与者可以相互验证伪份额的有效性。每个参与者只需维护一个秘密份额就可以一次共享多个秘密或者多次共享秘密。

关键词: LUC密码体制, 秘密共享, 门限方案, 多重秘密共享

Abstract: This paper proposes a (t, n) threshold multi-secret sharing scheme based on LUC cryptosystem. In this scheme, every participant’s secret shadow is their private-key. And the secret dealer does not have to distribute secret message to each participant. In the recovery phase, each cooperative participant can check pseudo-shadow others’ share is true or not. Each participant can share many secrets one time with other participants by holding only one shadow, even many times.

Key words: LUC cryptosystem, secret sharing, threshold scheme, multi-secret sharing

中图分类号: 

• TP393.08