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Threshold schemes have been used to protect secrets by distributing shares to participants. To protect two secrets, we can use two separate traditional schemes, say, a (t1, n1) scheme and a (t2, n2) scheme. If there are u (<=min(t1, t2))…

Cryptography and Security · Computer Science 2013-05-07 Daoshun Wang , Ziwei Ye , Xiaobo Li

Preserving data confidentiality in clouds is a key issue. Secret Sharing, a cryptographic primitive for the distribution of a secret among a group of $n$ participants designed so that only subsets of shareholders of cardinality $0 < t \leq…

Cryptography and Security · Computer Science 2015-09-04 Massimo Cafaro , Piergiuseppe Pellè

In this report, I explained the problem of Secret Sharing Scheme. Then based on the definition of the problem, two old methods: Blakley's Secret Sharing Scheme and Shamir's Secret Sharing are introduced. However, we explained the details of…

Cryptography and Security · Computer Science 2019-01-10 Alireza Shamsoshoara

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

In modern cryptography, the secret sharing scheme is an important cryptographic primitive and it is used in various situations. In this paper, a timed-release secret sharing scheme (TR-SS) with information-theoretic security is first…

Cryptography and Security · Computer Science 2014-05-13 Yohei Watanabe , Junji Shikata

Hiding a secret is needed in many situations. Secret sharing plays an important role in protecting information from getting lost, stolen, or destroyed and has been applicable in recent years. A secret sharing scheme is a cryptographic…

Cryptography and Security · Computer Science 2021-12-13 Haradhan Ghosh , Sanjit Bhowmick , Pramod Kumar Maurya , Satya Bagchi

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

The threshold secret sharing scheme allows the dealer to distribute the share to every participant such that the secret is correctly recovered from a certain amount of shares. The traditional $(k, n)$-threshold secret sharing scheme…

Information Theory · Computer Science 2024-02-05 Qi Cheng , Hongru Cao , Sian-Jheng Lin , Nenghai Yu

We investigate the concept of quantum secret sharing. In a ((k,n)) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the secret, but any set of k-1 or fewer shares…

Quantum Physics · Physics 2009-10-31 Richard Cleve , Daniel Gottesman , Hoi-Kwong Lo

Secret sharing is a new alternative for outsourcing data in a secure way.It avoids the need for time consuming encryption decryption process and also the complexity involved in key management.The data must also be protected from untrusted…

Cryptography and Security · Computer Science 2015-02-27 V. P. Binu , A. Sreekumar

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

One crucial and basic method for disclosing a secret to every participant in quantum cryptography is quantum secret sharing. Numerous intricate protocols, including secure multiparty summation, multiplication, sorting, voting, and more, can…

Quantum Physics · Physics 2025-01-17 Kartick Sutradhar

Secret sharing is an instrumental tool for sharing secret keys in distributed systems. In a classical threshold setting, this involves a dealer who has a secret/key, a set of parties/users to which shares of the secret are sent, and a…

Information Theory · Computer Science 2024-05-09 Utkarsh Gupta , Hessam Mahdavifar

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…

Cryptography and Security · Computer Science 2023-02-07 M. Andrecut

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

A secret sharing scheme is a method to store information securely and reliably. Particularly, in a threshold secret sharing scheme, a secret is encoded into $n$ shares, such that any set of at least $t_1$ shares suffice to decode the…

Information Theory · Computer Science 2016-04-04 Wentao Huang , Michael Langberg , Joerg Kliewer , Jehoshua Bruck

In this paper we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under {\em restricted local operation and classical communication}. Based on this local distinguishability analysis we…

Quantum Physics · Physics 2015-05-19 Ramij Rahaman , Matthew G. Parker

This work proposes a $d$-dimensional quantum multi-secret sharing scheme with a cheat detection mechanism. The dealer creates multiple secrets and distributes the shares of these secrets using multi-access structures and a monotone span…

Quantum Physics · Physics 2023-10-23 Deepa Rathi , Sanjeev Kumar

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

In the paper we discuss how to share the secrets, that are graphs. So, far secret sharing schemes were designed to work with numbers. As the first step, we propose conditions for "graph to number" conversion methods. Hence, the existing…

Cryptography and Security · Computer Science 2007-05-23 Kamil Kulesza , Zbigniew Kotulski