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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

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

Secret sharing schemes are widely used now a days in various applications, which need more security, trust and reliability. In secret sharing scheme, the secret is divided among the participants and only authorized set of participants can…

Cryptography and Security · Computer Science 2014-06-24 V P Binu , A Sreekumar

Perfect secret sharing scheme is a method of distribute a secret information $s$ among participants such that only predefined coalitions, called qualified subsets of the participants can recover the secret, whereas any other coalitions, the…

Cryptography and Security · Computer Science 2019-06-28 Mate Gyarmati , Peter Ligeti

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

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

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

Multi-secret sharing is an extension of secret sharing technique where several secrets are shared between the participants, each according to a specified access structure. The secrets can be reconstructed according to the access structure…

Cryptography and Security · Computer Science 2014-07-25 V. P. Binu , A. Sreekumar

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

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

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

The evolving $k$-threshold secret sharing scheme allows the dealer to distribute the secret to many participants such that only no less than $k$ shares together can restore the secret. In contrast to the conventional secret sharing scheme,…

Cryptography and Security · Computer Science 2024-10-18 Qi Cheng , Hongru Cao , Sian-Jheng Lin

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

In some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in the…

Quantum Physics · Physics 2025-02-06 Ryutaroh Matsumoto

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

This work investigates the design of sparse secret sharing schemes that encode a sparse private matrix into sparse shares. This investigation is motivated by distributed computing, where the multiplication of sparse and private matrices is…

Cryptography and Security · Computer Science 2023-08-15 Rawad Bitar , Maximilian Egger , Antonia Wachter-Zeh , Marvin Xhemrishi

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

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

In $(t, n)$-threshold secret sharing, a secret $S$ is distributed among $n$ participants such that any subset of size $t$ can recover $S$, while any subset of size $t-1$ or fewer learns nothing about it. For information-theoretic secret…

Information Theory · Computer Science 2025-06-23 Igor L. Aureliano , Alejandro Cohen , Rafael G. L. D'Oliveira

We investigate graph based secret sharing schemes and its information ratio, also called complexity, measuring the maximal amount of information the vertices has to store. It was conjectured that in large girth graphs, where the interaction…

Information Theory · Computer Science 2017-05-31 Laszlo Csirmaz , Peter Ligeti
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