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Related papers: Secret Sharing for Generic Theoretic Cryptography

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A dealer aims to share a secret with participants so that only predefined subsets can reconstruct it, while others learn nothing. The dealer and participants access correlated randomness and communicate over a one-way, public, rate-limited…

Information Theory · Computer Science 2026-01-27 Rumia Sultana , Remi A. Chou

The motivation for extending secret sharing schemes to cases when either the set of players is infinite or the domain from which the secret and/or the shares are drawn is infinite or both, is similar to the case when switching to abstract…

Cryptography and Security · Computer Science 2013-10-29 Alexander Dibert , László Csirmaz

In this work, we study the performance of Reed-Solomon codes against an adversary that first permutes the symbols of the codeword and then performs insertions and deletions. This adversarial model is motivated by the recent interest in…

Information Theory · Computer Science 2025-06-27 Roni Con

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

We present a simple and practical protocol for the solution of a secure multiparty communication task, the secret sharing, and its experimental realization. In this protocol, a secret message is split among several parties in a way that its…

In quantum secret sharing, a quantum secret state is mapped to multiple shares such that shares from qualified sets can recover the secret state and shares from other forbidden sets reveal nothing about the secret state; we study the…

Quantum Physics · Physics 2025-07-24 Hua Sun

In this work, we introduce a new technique for taking a single-secret sharing scheme with a general access structure and transforming it into an individually secure multi-secret sharing scheme where every secret has the same general access…

Information Theory · Computer Science 2024-05-14 Cailyn Bass , Alejandro Cohen , Rafael G. L. D'Oliveira , Muriel Médard

We propose a quantum function secret sharing scheme in which the communication is exclusively classical. In this primitive, a classical dealer distributes a secret quantum circuit $C$ by providing shares to $p$ quantum parties. The parties…

Quantum Physics · Physics 2025-10-14 Alex B. Grilo , Ramis Movassagh

Quantum protocols for secret sharing usually rely on multi-party entanglement which with present technology is very difficult to achieve. Recently it has been shown that sequential manipulation and communication of a single $d-$ level state…

Quantum Physics · Physics 2015-11-11 Vahid Karimipour , Marzieh Asoudeh

A novel information theoretic approach is proposed to solve the secret sharing problem, in which a dealer distributes one or multiple secrets among a set of participants that for each secret only qualified sets of users can recover it by…

Information Theory · Computer Science 2014-04-28 Shaofeng Zou , Yingbin Liang , Lifeng Lai , Shlomo Shamai

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

With the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and…

Quantum Physics · Physics 2020-06-24 Dan-Li Zhi , Zhu-Hui Li , Li-juan Liu , Zhao-Wei Han

Secret sharing was proposed primarily in 1979 to solve the problem of key distribution. In recent decades, researchers have proposed many improvement schemes. Among all these schemes, the verifiable multi-secret sharing (VMSS) schemes are…

Cryptography and Security · Computer Science 2020-11-18 Jing Yang , Fang-Wei Fu

In this work, we generalize the quantum secret sharing scheme of Hillary, Bu\v{z}ek and Berthiaume[Phys. Rev. A59, 1829(1999)] into arbitrary multi-parties. Explicit expressions for the shared secret bit is given. It is shown that in the…

Quantum Physics · Physics 2009-11-10 Li Xiao , Gui Lu Long , Fu-Guo Deng , Jian-Wei Pan

Let $S$ be a pool of $s$ parties and Alice be the dealer. In this paper, we propose a scheme that allows the dealer to encrypt messages in such a way that only one authorized coalition of parties (which the dealer chooses depending on the…

Cryptography and Security · Computer Science 2023-06-22 Vitaly Roman'kov

Quantum information scrambling has emerged as a powerful tool for studying the dynamics of chaotic quantum many-body systems, assessing benchmarking protocols, and even investigating exotic black hole models. During quantum information…

Quantum Physics · Physics 2025-12-02 Kiran Adhikari

Splitting a secret s between several participants, we generate (for each value of s) shares for all participants. The goal: authorized groups of participants should be able to reconstruct the secret but forbidden ones get no information…

Information Theory · Computer Science 2011-11-18 Tarik Kaced

Secret sharing is a multi-party cryptographic primitive that can be applied to a network of partially distrustful parties for encrypting data that is both sensitive (it must remain secure) and important (it must not be lost or destroyed).…

Quantum Physics · Physics 2022-02-28 Nathan Walk , Jens Eisert

Secret sharing is a multiparty cryptographic task in which some secret information is splitted into several pieces which are distributed among the participants such that only an authorized set of participants can reconstruct the original…

Quantum Physics · Physics 2009-11-13 S. Gaertner , C. Kurtsiefer , M. Bourennane , H. Weinfurter

In this paper, we present an (n, n) threshold quantum secret sharing scheme of secure direct communication using Greenberger-Horne-Zeilinger state. The present scheme is efficient in that all the Greenberger-Horne-Zeilinger states used in…

Quantum Physics · Physics 2008-01-02 Jian Wang , Quan Zhang , Chao-jing Tang
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