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中文摘要：
在传统的秘密共享方案中,秘密分发者通过秘密通道分发秘密份额给一组参与者。结合Re i方案和Amos方案,提出仅需一个秘密通道的秘密共享方案。在该方案的秘密分发阶段,秘密分发者与参与者之间使用部分广播通道进行通信,秘密分发者与秘密合并者之间使用一个秘密通道进行通信;在秘密重构阶段,参与者与秘密合并者之间使用广播通道进行通信。通过对该方案进行分析可知,该方案的通道数和总的通信量比已知的两个方案具有明显的优势。
英文摘要：
In conventional secret sharing scheme, a dealer uses private channels to distribute the shares of a secret to a number of participants. In this paper,combining with the schemes of Rei and Amos,we show a secret sharing scheme with only one private channel. In the distribution phase of the scheme, the dealer and participants use partial broadcast channels to communicate, whereas the dealer and the combiner communicate each other through one private channel. In the secret reconstruction phase ,the participants and the combiner use broadcast channels to communicate. Through the analysis of the scheme, we get that it is obviously outperform the above two schemes in the number of channels and the total communications.
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