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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

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

Distributed storage plays an essential role in realizing robust and secure data storage in a network over long periods of time. A distributed storage system consists of a data owner machine, multiple storage servers and channels to link…

Quantum Physics · Physics 2016-07-05 Mikio Fujiwara , Atsushi Waseda , Ryo Nojima , Shiho Moriai , Wakaha Ogata , Masahide Sasaki

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

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…

Cryptography and Security · Computer Science 2022-11-04 James Smith

Each member of an $n$-person team has a secret, say a password. The $k$ out of $n$ gruppen secret sharing requires that any group of $k$ members should be able to recover the secrets of the other $n-k$ members, while any group of $k-1$ or…

Cryptography and Security · Computer Science 2013-10-18 Laszlo Csirmaz

A (t,n)-threshold secret sharing scheme is a method to distribute a secret among n participants in such a way that any t participants can recover the secret, but no t-1 participants can. In this paper, we propose two secret sharing schemes…

Cryptography and Security · Computer Science 2012-05-02 Maggie Habeeb , Delaram Kahrobaei , Vladimir Shpilrain

A k-anonymous broadcast can be implemented using a small group of dining cryptographers to first share the message, followed by a flooding phase started by group members. Members have little incentive to forward the message in a timely…

Cryptography and Security · Computer Science 2021-04-08 David Mödinger , Juri Dispan , Franz J. Hauck

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

In this paper, we study an information-theoretic secret sharing problem, where a dealer distributes shares of a secret among a set of participants under the following constraints: (i) authorized sets of users can recover the secret by…

Information Theory · Computer Science 2021-11-15 Vidhi Rana , Remi A. Chou , Hyuck Kwon

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

Threshold secret sharing schemes do not prevent any malicious behavior of the dealer or shareholders and so we need verifiable secret sharing, to detect and identify the cheaters, to achieve fair reconstruction of a secret. The problem of…

Cryptography and Security · Computer Science 2012-03-19 Keyur Parmar , Devesh Jinwala

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

Shamir's celebrated secret sharing scheme provides an efficient method for encoding a secret of arbitrary length $\ell$ among any $N \leq 2^\ell$ players such that for a threshold parameter $t$, (i) the knowledge of any $t$ shares does not…

Cryptography and Security · Computer Science 2018-12-14 Fuchun Lin , Mahdi Cheraghchi , Venkatesan Guruswami , Reihaneh Safavi-Naini , Huaxiong Wang

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

Secret sharing in user hierarchy represents a challenging area for research. Although a lot of work has already been done in this direc- tion, this paper presents a novel approach to share a secret among a hierarchy of users while…

Cryptography and Security · Computer Science 2010-07-15 Ruchira Naskar , Indranil Sengupta

We present a practical methodology for securing the password-based authentication scheme. We propose a solution based on the well-known (k,n) threshold scheme of Shamir for sharing a secret, where in our case the secret is the password…

Cryptography and Security · Computer Science 2018-06-20 Andrea Bissoli , Fabrizio d'Amore

A new grayscale image encryption algorithm based on $(k,n)$ threshold secret sharing is proposed. The scheme allows a secret image to be transformed into $n$ shares, where any $k \le n$ shares can be used to reconstruct the secret image,…

Cryptography and Security · Computer Science 2014-08-25 El-Tigani B. Abdelsatir , Sahar Salahaldeen , Hyam Omar , Afra Hashim

Secret sharing schemes based on the idea of hidden multipliers in encryption are proposed. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular,…

Cryptography and Security · Computer Science 2021-08-17 Vitaly Roman'kov

Secret sharing, in which a dealer wants to split a secret in such a way that any unauthorized subset of parties is unable to reconstruct it, plays a key role in cryptography. The security of quantum protocols for the task is guaranteed by…

Quantum Physics · Physics 2017-10-10 Kejin Wei , Xiuqing Yang , Haiqiang Ma , Changhua Zhu
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