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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…

Cryptography and Security · Computer Science 2021-05-25 Vipin Singh Sehrawat , Yvo Desmedt

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…

Cryptography and Security · Computer Science 2012-12-27 Yun Song , Zhihui Li

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…

Combinatorics · Mathematics 2023-04-19 Ryoh Fuji-Hara , Ying Miao

Shamir or Blakley secret sharing schemes are used for the authentication process in the studies before, but still secure group authentication and hand-over process remain as challenges in group authentication approaches. In this study, a…

Cryptography and Security · Computer Science 2019-08-28 Yucel Aydin , Gunes Karabulut Kurt , Enver Ozdemır

We consider a distributed secret sharing system that consists of a dealer, $n$ storage nodes, and $m$ users. Each user is given access to a certain subset of storage nodes, where it can download the stored data. The dealer wants to securely…

Information Theory · Computer Science 2020-09-30 Mahdi Soleymani , Hessam Mahdavifar

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…

Quantum Physics · Physics 2010-07-08 Pradeep Sarvepalli , Robert Raussendorf

A verifiable multi-secret sharing (VMSS) scheme enables the dealer to share multiple secrets, and the deception of both participants and the dealer can be detected. After analyzing the security of VMSS schemes proposed by Mashhadi and…

Cryptography and Security · Computer Science 2019-06-12 Jing Yang , Fang-Wei Fu

Almost all known secret sharing schemes work on numbers. Such methods will have difficulty in sharing graphs since the number of graphs increases exponentially with the number of nodes. We propose a secret sharing scheme for graphs where we…

Cryptography and Security · Computer Science 2010-09-16 K. R. Sahasranand , Nithin Nagaraj

One of the methods used in order to protect a secret K is a secret sharing scheme. In this scheme the secret K is distributed among a finite set of participants P by a special participant called the dealer, in such a way that only…

Information Theory · Computer Science 2020-03-31 Ghanem Meriem , Bouroubi Sadek

A $(t,m)$-threshold secret sharing and multisecret-sharing scheme based on Shamir's SSS are introduced with two-level security using a one-way function. Besides we give its application in smart contract-enabled consortium blockchain…

Cryptography and Security · Computer Science 2022-09-09 R. K. Sharma , Ritumoni Sarma , Neha Arora , Vidya Sagar

The main goal of this work is to propose the design of secret sharing schemes based on hard-on-average problems. It includes the description of a new multiparty protocol whose main application is key management in networks. Its…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya

We consider a secret-sharing model where a dealer distributes the shares of a secret among a set of participants with the constraint that only predetermined subsets of participants must be able to reconstruct the secret by pooling their…

Information Theory · Computer Science 2024-02-07 Remi A. Chou

This paper first reviews some basic properties of cryptographic hash function, secret sharing scheme, and Latin square. Then we discuss why Latin square or its critical set is a good choice for secret representation and its relationship…

Cryptography and Security · Computer Science 2011-07-12 Chi Sing Chum , Xiaowen Zhang

A recent work of Harn and Fuyou presents the first multilevel (disjunctive) threshold secret sharing scheme based on the Chinese Remainder Theorem. In this work, we first show that the proposed method is not secure and also fails to work…

Cryptography and Security · Computer Science 2016-05-26 Oguzhan Ersoy , Kamer Kaya , Kerem Kaskaloglu

We consider a distributed multi-user secret sharing (DMUSS) setting in which there is a dealer, $n$ storage nodes, and $m$ secrets. Each user demands a $t$-subset of $m$ secrets. Earlier work in this setting dealt with the case of $t=1$; in…

Information Theory · Computer Science 2024-01-09 Rasagna Chigullapally , Harshithanjani Athi , Nikhil Karamchandani , V. Lalitha

We construct general schemes for multi-partite quantum secret sharing using multi-level systems, and find that the consistent conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using the very…

Quantum Physics · Physics 2015-07-22 I-Ching Yu , Feng-Li Lin , Ching-Yu Huang

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…

Cryptography and Security · Computer Science 2023-10-06 Laszlo Csirmaz , František Matúš , Carles Padró

Disjunctive Hierarchical Secret Sharing (DHSS) scheme is a secret sharing scheme in which the set of all participants is partitioned into disjoint subsets. Each disjoint subset is said to be a level, and different levels have different…

Information Theory · Computer Science 2026-03-19 Jian Ding , Cheng Wang , Haifeng Yu , Hongju Li , Cheng Shu

This paper presents a new scheme to distribute secret shares using two trusted third parties to increase security and eliminate the dependency on single trusted third party. This protocol for communication between a device and two trusted…

Cryptography and Security · Computer Science 2016-08-19 Adnan Memon

Secret Sharing Schemes (SSS) are methods for distributing a secret among a set of participants. One of the first Secret Sharing Schemes was proposed by M. Mignotte, based on the Chinese remainder theorem over the ring of integers. In this…

Cryptography and Security · Computer Science 2021-06-24 Diego Munuera-Merayo