A Hierarchical Secret Sharing Scheme over Finite Fields of Characteristic 2
A Hierarchical Secret Sharing Scheme over Finite Fields of Characteristic 2
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特征2有限域上的分层秘密共享方案
DOI：
10.2197/ipsjjip.25.875
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
H. Doi
中科院分区：
文献类型：
--
作者：
Koji Shima;H. Doi
：分级秘密共享方案以在被划分为级别的一组参与者之间共享秘密的方式而闻名。我们考察了这些方案在秘密分发后删除秘密的难易程度，即在数据删除的可靠性取决于删除不可缺少的参与者份额的情况下。在这篇文章中，我们考虑了塔萨利用形式导数和Birkhoff插值法的思想，使得他的方法即使在特征2的finitefi域上也能很好地工作，然后我们设计了一种导数的方法。因此，我们提出了一种适用于任何级别的快速(k，n)分级秘密共享方案，并报告了软件实现的评估结果。此外，考虑到实际应用，我们还对({1，3}，n)分级秘密共享方案进行了专门的优化。
: Hierarchical secret sharing schemes are known for the way the secret is shared among a group of participants that is partitioned into levels. We examine these schemes in terms of how easily they delete a secret after it is distributed or namely for cases where the reliability of data deletion depends on deletion of the indispensable participants’ share. In this paper, we consider Tassa’s idea of using formal derivatives and Birkho ff interpolation so that his method will work well even over finite fields of characteristic 2, then we devise a method for derivatives. As a result, we propose a fast ( k , n ) hierarchical secret sharing scheme applicable to any level and report the software implementation evaluation. Moreover, taking practical use into consideration, we cover the optimization specialized for a ( { 1 , 3 } , n ) hierarchical secret sharing scheme.