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An ideal secret sharing scheme is a method of sharing a secret key in some key space among a finite set of participants in such a way that only the authorized subsets of participants can reconstruct the secret key from their shares which…

组合数学 · 数学 2023-04-19 Ryoh Fuji-Hara , Ying Miao

An access structure is said to be multipartite, if the set of participants is divided into several parts and all participants in the same part play an equivalent role. The search for ideal secret sharing schemes for some special interesting…

密码学与安全 · 计算机科学 2021-07-26 Renata Kawa , Mieczyslaw Kula

A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of…

密码学与安全 · 计算机科学 2022-10-25 László Csirmaz

In this paper we define a kind of decomposition for a quantum access structure. We propose a conception of minimal maximal quantum access structure and obtain a sufficient and necessary condition for minimal maximal quantum access…

量子物理 · 物理学 2017-01-17 Chen-Ming Bai , Zhi-Hui Li , Yong-Ming Li

Bipartite secret sharing schemes have a bipartite access structure in which the set of participants is divided into two parts and all participants in the same part play an equivalent role. Such a bipartite scheme can be described by a…

密码学与安全 · 计算机科学 2023-10-06 Laszlo Csirmaz , František Matúš , Carles Padró

How to construct an ideal multi-secret sharing scheme for general access structures is difficult. In this paper, we solve an open problem proposed by Spiez et al.recently [Finite Fields and Their Application, 2011(17) 329-342], namely to…

密码学与安全 · 计算机科学 2012-12-27 Yun Song , Zhihui Li

Traditional threshold secret sharing cannot realizing all access structures of secret sharing. So, Ito introduced the concept of Secret sharing scheme realizing general access structure. But Its scheme has to send multiple shares to each…

密码学与安全 · 计算机科学 2022-09-09 Yang Xie , Sijjad Ali Khuhro , Fuyou Miao , Keju Meng

Linear error-correcting codes can be used for constructing secret sharing schemes; however finding in general the access structures of these secret sharing schemes and, in particular, determining efficient access structures is difficult.…

信息论 · 计算机科学 2022-06-07 Angela Aguglia , Michela Ceria , Luca Giuzzi

We propose an adaptive threshold multi secret sharing scheme based solely on cryptographically secure hash functions. We show that the proposed scheme is also: perfect, ideal, verifiable, and proactive. Moreover the proposed scheme has a…

密码学与安全 · 计算机科学 2023-02-07 M. Andrecut

Secret sharing provides a means to distribute shares of a secret such that any authorized subset of shares, specified by an access structure, can be pooled together to recompute the secret. The standard secret sharing model requires public…

密码学与安全 · 计算机科学 2021-05-25 Vipin Singh Sehrawat , Yvo Desmedt

Secret sharing schemes are widely used now a days in various applications, which need more security, trust and reliability. In secret sharing scheme, the secret is divided among the participants and only authorized set of participants can…

密码学与安全 · 计算机科学 2014-06-24 V P Binu , A Sreekumar

A secret sharing scheme is a cryptographic protocol to distribute a secret state in an encoded form among a group of players such that only authorized subsets of the players can reconstruct the secret. Classically, efficient secret sharing…

量子物理 · 物理学 2010-07-08 Pradeep Sarvepalli , Robert Raussendorf

In a secret sharing scheme, shares of a secret are distributed to participants in such a way that only certain predetermined sets of participants are qualified to reconstruct the secret. An access structure on a set of participants…

密码学与安全 · 计算机科学 2008-01-30 Jessica Ruth Metcalf-Burton

In this paper we construct a subclass of the composite access structure introduced by Mart\'inez et al. based on schemes realizing the structure given by the set of codewords of minimal support of linear codes. This class enlarges the…

信息论 · 计算机科学 2012-11-26 Irene Márquez-Corbella , Edgar Martínez-Moro , Emilio Suárez-Canedo

Sharing a secret efficiently amongst a group of participants is not easy since there is always an adversary / eavesdropper trying to retrieve the secret. In secret sharing schemes, every participant is given a unique share. When the desired…

密码学与安全 · 计算机科学 2022-11-04 James Smith

Asymptotically good sequences of linear ramp secret sharing schemes have been intensively studied by Cramer et al. in terms of sequences of pairs of nested algebraic geometric codes. In those works the focus is on full privacy and full…

信息论 · 计算机科学 2018-02-08 Olav Geil , Stefano Martin , Umberto Martínez-Peñas , Ryutaroh Matsumoto , Diego Ruano

It is well-known that the linear secret-sharing scheme (LSSS) can be constructed from linear error-correcting codes (Brickell [1], R.J. McEliece and D.V.Sarwate [2],Cramer, el.,[3]). The theory of linear codes from algebraic-geometric…

密码学与安全 · 计算机科学 2007-07-13 Hao Chen

A $k$-uniform hypergraph is a hypergraph where each $k$-hyperedge has exactly $k$ vertices. A $k$-homogeneous access structure is represented by a $k$-uniform hypergraph $\mathcal{H}$, in which the participants correspond to the vertices of…

组合数学 · 数学 2023-09-15 Younjin Kim , Jihye Kwon , Hyang-Sook Lee

Secret sharing allows distributing a secret among several parties such that only authorized subsets, specified by an access structure, can reconstruct the secret. Sehrawat and Desmedt (COCOON 2020) introduced hidden access structures, that…

密码学与安全 · 计算机科学 2021-09-14 Vipin Singh Sehrawat , Foo Yee Yeo , Yvo Desmedt

In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as…

密码学与安全 · 计算机科学 2015-02-05 Xuan Guang , Jiyong Lu , Fang-Wei Fu
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