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计算机工程 ›› 2007, Vol. 33 ›› Issue (06): 24-26. doi: 10.3969/j.issn.1000-3428.2007.06.009

• 博士论文 • 上一篇    下一篇

一种基于布尔代数的秘密共享方案

高洪江1,2,邵利平1,衡星辰1,覃 征1,3   

  1. (1. 西安交通大学电子与信息工程学院,西安 710049;2. 鲁东大学计算机科学与技术学院,烟台 264025; 3. 清华大学软件学院,北京 100084)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-03-20 发布日期:2007-03-20

Secret Sharing Scheme Based on Boolean Algebra

GAO Hongjiang1,2, SHAO Liping1, HENG Xingchen1, QIN Zheng1,3   

  1. (1. School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049; 2. School of Computer Science and Technology, Ludong University, Yantai 264025; 3. School of Software, Tsinghua University, Beijing 100084)
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-03-20 Published:2007-03-20

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

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

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