Generalized threshold secret sharing and finite geometry

Ligeti Peter; Sziklai Peter; Takats Marcella

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Generalized threshold secret sharing and finite geometry

机译：广义阈值秘密共享和有限几何

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摘要

In the history of secret sharing schemes many constructions are based on geometric objects. In this paper we investigate generalizations of threshold schemes and related finite geometric structures. In particular, we analyse compartmented and hierarchical schemes, and deduce some more general results, especially bounds for special arcs and novel constructions for conjunctive 2-level and 3-level hierarchical schemes.

机译：在秘密共享方案的历史中，许多结构基于几何对象。在本文中，我们研究了阈值方案的概括和相关的有限几何结构。特别是，我们分析了隔间和分层方案，并推断了一些更一般的结果，特别是用于联合2级和3级分层方案的特殊弧和新颖结构的界限。

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来源
《Designs, Codes and Crytography》 |2021年第9期|2067-2078|共12页
作者
Ligeti Peter; Sziklai Peter; Takats Marcella;
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作者单位

Eotvos Lorand Univ Dept Comp Algebra Budapest Hungary;

Eotvos Lorand Univ Dept Comp Sci Budapest Hungary|Renyi Inst Math Budapest Hungary;

Eotvos Lorand Univ Dept Comp Sci Budapest Hungary|MTA ELTE Geometr & Algebra Combinator Res Grp Budapest Hungary;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Secret sharing; Threshold schemes; Finite geometry; Projective space;

机译：秘密共享;门槛方案;有限几何;投影空间;

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1. A multi-threshold secret image sharing scheme based on the generalized Chinese reminder theorem [J] . Guo Cheng, Zhang Huan, Song Qiongqiong, Multimedia Tools and Applications . 2016,第18期

机译：基于广义中文余量定理的多阈值秘密图像共享方案
2. A novel verifiable and unconditionally secure (m, t, n)-threshold multi-secret sharing scheme using overdetermined systems of linear equations over finite Galois fields [J] . Kamel Mohamed Faraoun International journal of information and computer security . 2019,第1期

机译：一种新的可验证且无条件安全的（m，t，n）门限多秘密共享方案，该方法使用有限Galois字段上的线性方程组的超定系统
3. A novel (k_1,k_2,n)-threshold two-in-one secret image sharing scheme for multiple secrets [J] . Liu Lintao, Lu Yuliang, Yan Xuehu Journal of visual communication & image representation . 2021,第Jana期

机译：用于多个秘密的新型（k_1，k_2，n）-Threshold两种秘密图像共享方案
4. On Some Properties of the (t, n) Threshold Secret Sharing Schemes Based on the Generalized Vector Space Construction [C] . Todorka ALEXANDROVA, Hiroyoshi MORITA International Symposium on Information Theory and its Applications . 2008

机译：基于广义矢量空间建设的（T，N）阈值秘密共享方案的一些特性
5. Protected secret sharing and its application to threshold cryptography. [D] . Mannava, Spandan. 2016

机译：受保护的秘密共享及其在阈值加密中的应用。
6. Dynamic Group Authentication and Key Exchange Scheme Based on Threshold Secret Sharing for IoT Smart Metering Environments [O] . Dae-Hwi Lee, Im-Yeong Lee 2018

机译：基于阈值秘密共享的物联网智能电表环境动态组认证和密钥交换方案
7. Generalized threshold secret sharing and finite geometry [O] . Peter Ligeti, Peter Sziklai, Marcella Takáts 2021

机译：广义阈值秘密共享和有限几何

Generalized threshold secret sharing and finite geometry

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