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Secret sharing is a fundamental primitive in cryptography, and it can be achieved even with perfect security. However, the distribution of shares requires computational assumptions, which can compromise the overall security of the protocol.…

Quantum Physics · Physics 2025-04-29 Alex B. Grilo , Lucas Hanouz , Anne Marin

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…

Cryptography and Security · Computer Science 2022-10-25 László Csirmaz

In 1968, Liu described the problem of securing documents in a shared secret project. In an example, at least six out of eleven participating scientists need to be present to open the lock securing the secret documents. Shamir proposed a…

Cryptography and Security · Computer Science 2021-03-31 Jannik Dreier , Jean-Guillaume Dumas , Pascal Lafourcade , Léo Robert

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

Threshold cryptography has gained momentum in the last decades as a mechanism to protect long term secret keys. Rather than having a single secret key, this allows to distribute the ability to perform a cryptographic operation such as…

Cryptography and Security · Computer Science 2024-08-30 Florian Le Mouël , Maxime Godon , Renaud Brien , Erwan Beurier , Nora Boulahia-Cuppens , Frédéric Cuppens

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…

Cryptography and Security · Computer Science 2022-09-09 Yang Xie , Sijjad Ali Khuhro , Fuyou Miao , Keju Meng

In this paper, we investigate a novel $(2,2)$-threshold scheme and then generalize this to a $(n,n)$-threshold scheme for quantum secret sharing (QSS) which makes use of the fundamentals of Analytic Geometry. The dealer aptly selects GHZ…

Quantum Physics · Physics 2010-04-28 Ruilong Liu

E-voting systems (EVS)are having potential advantages over many existing voting schemes.Security, transparency, accuracy and reliability are the major concern in these systems.EVS continues to grow as the technology advances.It is…

Cryptography and Security · Computer Science 2015-02-27 Divya G. Nair , V. P. Binu , G. Santhosh Kumar

In this paper, a renewable, multi-use, multi-secret sharing scheme for general access structure based on one-way collision resistant hash function is presented in which each participant has to carry only one share. By applying…

Cryptography and Security · Computer Science 2019-07-09 Angsuman Das , Avishek Adhikari

Ouyang et al. proposed an $(n,n)$ threshold quantum secret sharing scheme, where the number of participants is limited to $n=4k+1,k\in Z^+$, and the security evaluation of the scheme was carried out accordingly. In this paper, we propose an…

Quantum Physics · Physics 2018-11-14 Hai-Yan Bai , Zhi-Hui Li , Na Hao

Quantum secret sharing (QSS) is a cryptographic protocol that leverages quantum mechanics to distribute a secret among multiple parties. With respect to the classical counterpart, in QSS the secret is encoded into quantum states and shared…

Quantum Physics · Physics 2025-02-06 Alessio Di Santo , Walter Tiberti , Dajana Cassioli

In this paper, we investigate properties of some multi-particle entangled states and, from the properties applying the secret sharing present a new type of quantum key distribution protocols as generalization of quantum key distribution…

Quantum Physics · Physics 2007-05-23 Sora Choi , Jinsoo Kim , Dong Pyo Chi

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

A resilient secret sharing scheme is supposed to generate the secret correctly even after some shares are damaged. In this paper, we show how quantum error correcting codes can be exploited to design a resilient quantum secret sharing…

Quantum Physics · Physics 2015-02-02 Arpita Maitra , Goutam Paul

Based on the two-step protocol [Phys. Rev. A68(03)042317], we propose a $(n,n)$-threshold multiparty quantum secret sharing protocol of secure direct communication. In our protocol only all the sharers collaborate can the sender's secure…

Quantum Physics · Physics 2009-11-10 Z. J. Zhang

The need for secrecy and security is essential in communication. Secret sharing is a conventional protocol to distribute a secret message to a group of parties, who cannot access it individually but need to cooperate in order to decode it.…

Quantum Physics · Physics 2017-01-16 Ioannis Kogias , Yu Xiang , Qiongyi He , Gerardo Adesso

Secret sharing is a cryptographic discipline in which the goal is to distribute information about a secret over a set of participants in such a way that only specific authorized combinations of participants together can reconstruct the…

Information Theory · Computer Science 2017-11-13 Johannes Rauh

For a secret sharing scheme, two parameters $d_{min}$ and $d_{cheat}$ are defined in [12] and [13]. These two parameters measure the error-correcting capability and the secret-recovering capability of the secret sharing scheme against…

Cryptography and Security · Computer Science 2007-05-23 Hao Chen

We present two experimental schemes to perform continuous variable (2,3) threshold quantum secret sharing on the quadratures amplitudes of bright light beams. Both schemes require a pair of entangled light beams. The first scheme utilizes…

Quantum Physics · Physics 2009-11-07 A. M. Lance , T. Symul , W. P. Bowen , T. Tyc , B. C. Sanders , P. K. Lam

I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum…

Quantum Physics · Physics 2009-10-31 Daniel Gottesman
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