Compartmented Secret Sharing Schemes and Locally Repairable Codes

Compartmented Secret Sharing Schemes and Locally Repairable Codes
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分段秘密共享方案和本地可修复代码

DOI:
10.1109/tcomm.2020.3005430
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发表时间:
2020-10
影响因子:
8.3
通讯作者:
Zhiqiang Lin
Zhiqiang Lin
中科院分区:
计算机科学2区
文献类型:
--
作者:
Qi Chen;Chunming Tang;Zhiqiang Lin

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多方秘密共享是秘密共享方案领域的一个重要研究对象。分隔访问结构是一类有趣的多部分访问结构。本文通过代码研究了实现分区访问结构的理想线性方案的构造。我们发现分隔秘密共享与一类称为本地可修复代码的代码有关,该代码广泛应用于分布式和云存储系统中。我们研究了具有上限的分区访问结构、具有下限的分区访问结构和具有上下限的分区访问结构的秘密共享方案。我们建立了这些分隔访问结构的秘密共享方案和本地可修复代码之间的关系。基于这些关系和一些局部可修复的代码,我们获得了理想的线性方案,通过有效的方法实现了这些划分的访问结构。
Multipartite secret sharing is an important research object in the area of secret sharing schemes. Compartmented access structures are an interesting class of multipartite access structures. The constructions of ideal linear schemes realizing compartmented access structures are studied by codes in this paper. We find that compartmented secret sharing is related to a class of codes called locally repairable codes which are being used widely in distributed and cloud storage systems. We study secret sharing schemes for compartmented access structures with upper bounds, compartmented access structures with lowers bounds and compartmented access structures with upper and lower bounds. We establish the relationships between secret sharing schemes for these compartmented access structures and locally repairable codes. Based on the relationships and some locally repairable codes, we obtain ideal linear schemes realizing these compartmented access structures by efficient methods.
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