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Linear Secret Sharing Schemes and Rearrangements of Access Structures
Authors:Email author" target="_blank">Liang-liang?XiaoEmail author  Mu-lan?Liu
Institution:(1) Institute of Software, The State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, 100080, China;(2) Academy of Mathematics and Systems Science, Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing, 100080, China
Abstract:Abstract In this paper we study linear secret sharing schemes by monotone span programs, according to the relation between realizing access structures by linear secret sharing schemes and computing monotone Boolean functions by monotone span programs. We construct some linear secret sharing schemes. Furthermore, we study the rearrangements of access structures that is very important in practice. Supported by the National Natural Science Foundation of China (90304012, 90204016, 2003AA144030)
Keywords:Access structure  linear secret sharing scheme  monotone span program  rearrangement of access structure
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