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We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

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

Shamir's (n, k) threshold secret sharing is an important component of several cryptographic protocols, such as those for secure multiparty-computation and key management. These protocols typically assume the presence of direct communication…

Cryptography and Security · Computer Science 2014-10-23 Nihar B. Shah , K. V. Rashmi , Kannan Ramchandran

Threshold cryptography is a powerful and well-known technique with many applications to systems relying on distributed trust. It has recently emerged also as a solution to challenges in blockchain: frontrunning prevention, managing wallet…

Cryptography and Security · Computer Science 2025-02-06 Mariarosaria Barbaraci , Noah Schmid , Orestis Alpos , Michael Senn , Christian Cachin

A restriction on quantum secret sharing (QSS) that comes from the no-cloning theorem is that any pair of authorized sets in an access structure should overlap. From the viewpoint of application, this places an unnatural constraint on secret…

Quantum Physics · Physics 2007-05-23 Sudhir Kumar Singh , R. Srikanth

A visual cryptography scheme is a secret sharing scheme in which the secret information is an image and the shares are printed on transparencies, so that the secret image can be recovered by simply stacking the shares on top of each other.…

Cryptography and Security · Computer Science 2025-10-02 Maximilian Reif , Jens Zumbrägel

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

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

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

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

Most industrial recommender systems rely on the popular collaborative filtering (CF) technique for providing personalized recommendations to its users. However, the very nature of CF is adversarial to the idea of user privacy, because users…

Information Retrieval · Computer Science 2018-06-05 Manoj Reddy Dareddy , Ariyam Das , Junghoo Cho , Carlo Zaniolo

A circular quantum secret sharing protocol is proposed, which is useful and efficient when one of the parties of secret sharing is remote to the others who are in adjacent, especially the parties are more than three. We describe the process…

Quantum Physics · Physics 2012-08-27 Fu-Guo Deng , Hong-Yu Zhou andGui Lu Long

Two recently published papers propose some very simple key distribution schemes designed to enable two or more parties to establish a shared secret key with the aid of a third party. Unfortunately, as we show, most of the schemes are…

Cryptography and Security · Computer Science 2021-03-16 Chris J Mitchell

Shamir or Blakley secret sharing schemes are used for the authentication process in the studies before, but still secure group authentication and hand-over process remain as challenges in group authentication approaches. In this study, a…

Cryptography and Security · Computer Science 2019-08-28 Yucel Aydin , Gunes Karabulut Kurt , Enver Ozdemır

Cooperative control is crucial for the effective operation of dynamical multi-agent systems. Especially for distributed control schemes, it is essential to exchange data between the agents. This becomes a privacy threat if the data is…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Philipp Binfet , Janis Adamek , Nils Schlüter , Moritz Schulze Darup

The main goal of this work is to propose the design of secret sharing schemes based on hard-on-average problems. It includes the description of a new multiparty protocol whose main application is key management in networks. Its…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya

In an on-line secret sharing scheme the dealer assigns shares in the order the participants show up, knowing only those qualified subsets whose all members she has seen. We assume that the overall access structure is known and only the…

Information Theory · Computer Science 2014-02-07 Laszlo Csirmaz , Gábor Tardos

There are several methods for constructing secret sharing schemes, one of which is based on coding theory. Theoretically, every linear code can be used to construct secret sharing schemes. However, in general, determining the access…

Cryptography and Security · Computer Science 2013-09-06 Yun Song , Zhihui Li

This paper considers a distributed multi-agent optimization problem, with the global objective consisting of the sum of local objective functions of the agents. The agents solve the optimization problem using local computation and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Shripad Gade , Nitin H. Vaidya

Secret sharing is a procedure for sharing a secret among a number of participants such that only the qualified subsets of participants have the ability to reconstruct the secret. Even in the presence of eavesdropping, secret sharing can be…

Quantum Physics · Physics 2015-05-13 Qin Li , W. H. Chan , Dong-Yang Long