Abstract: A secret sharing scheme is a method of sharing a secret k among a set of n participants. Shares are renewed in a simple way in the scheme with the conjunction and disjunction logic in Boolean algebra, so it proves sound flexible and extensible and its speed is fast. The scheme can be combined with the classical encryption methods to improve its safety, which is easy to be encoded with software and implemented with hardware.

Key words: Secret sharing, Boolean algebra, Conjunction and disjunction logic functions, Normal formulas base, Logic set

摘要： 秘密共享方案是在n个参与者之间共享秘密k的方法。将布尔代数中的与或逻辑引入秘密共享而提出的新方案运算速度快，并具有灵活的自适应能力和良好的可扩展性，便于软件编程和硬件固化，可以与经典的加密方法紧密结合，以提高其安全性。

关键词: 秘密共享, 布尔代数, 与或逻辑, 合式基, 逻辑集合

CLC Number: 

• TP391.41